# Tor Helleseth

According to our database1, Tor Helleseth authored at least 297 papers between 1976 and 2021.

Collaborative distances:

## IEEE Fellow

IEEE Fellow 1997, "For contributions to coding theory and cryptography.".

Book
In proceedings
Article
PhD thesis
Other

## Bibliography

2021
Three New Constructions of Asymptotically Optimal Periodic Quasi-Complementary Sequence Sets With Small Alphabet Sizes.
IEEE Trans. Inf. Theory, 2021

Binary Linear Codes With Few Weights From Two-to-One Functions.
IEEE Trans. Inf. Theory, 2021

Relation between o-equivalence and EA-equivalence for Niho bent functions.
Finite Fields Their Appl., 2021

Cryptographically strong permutations from the butterfly structure.
Des. Codes Cryptogr., 2021

2020
A New Family of APN Quadrinomials.
IEEE Trans. Inf. Theory, 2020

On the Distance Between APN Functions.
IEEE Trans. Inf. Theory, 2020

The differential spectrum of a ternary power mapping.
Finite Fields Their Appl., 2020

A complete characterization of the APN property of a class of quadrinomials.
CoRR, 2020

The resolution of Niho's last conjecture concerning sequences, codes, and Boolean functions.
CoRR, 2020

Polyphase zero correlation zone sequences from generalised bent functions.
Cryptogr. Commun., 2020

Editorial: Special issue on sequences and their applications 2018.
Cryptogr. Commun., 2020

Editorial: Special issue on Boolean functions and their applications.
Cryptogr. Commun., 2020

New Optimal Sets of Perfect Polyphase Sequences Based on Circular Florentine Arrays.
Proceedings of the IEEE International Symposium on Information Theory, 2020

2019
Differential Spectrum of Kasami Power Permutations Over Odd Characteristic Finite Fields.
IEEE Trans. Inf. Theory, 2019

The linear complexity of generalized cyclotomic binary sequences of period p<sup>n</sup>.
Des. Codes Cryptogr., 2019

Two-weight codes over the integers modulo a prime power.
CoRR, 2019

New permutation trinomials from Niho exponents over finite fields with even characteristic.
Cryptogr. Commun., 2019

Editorial: Special issue on Boolean functions and their applications 2018.
Cryptogr. Commun., 2019

Editorial: Special Issue on Boolean functions and their applications.
Cryptogr. Commun., 2019

2018
A Construction of Multiple Optimal ZCZ Sequence Sets With Good Cross Correlation.
IEEE Trans. Inf. Theory, 2018

A Family of Polyphase Sequences With Asymptotically Optimal Correlation.
IEEE Trans. Inf. Theory, 2018

Solomon W. Golomb - Mathematician, Engineer, and Pioneer.
IEEE Trans. Inf. Theory, 2018

On Upper Bounds for Algebraic Degrees of APN Functions.
IEEE Trans. Inf. Theory, 2018

Changing Points in APN Functions.
IACR Cryptol. ePrint Arch., 2018

A class of new permutation trinomials.
Finite Fields Their Appl., 2018

Finite Fields Their Appl., 2018

Discret. Math., 2018

Constructions of complete permutation polynomials.
Des. Codes Cryptogr., 2018

New generalized cyclotomic binary sequences of period p<sup>2</sup>.
Des. Codes Cryptogr., 2018

Corrigendum to New Generalized Cyclotomic Binary Sequences of Period p<sup>2</sup>.
CoRR, 2018

The weight distribution of a class of two-weight linear codes derived from Kloosterman sums.
Cryptogr. Commun., 2018

Editorial: Special issue on recent trends in cryptography.
Cryptogr. Commun., 2018

2017
On the Correlation Distribution for a Niho Decimation.
IEEE Trans. Inf. Theory, 2017

Generic Construction of Bent Functions and Bent Idempotents With Any Possible Algebraic Degrees.
IEEE Trans. Inf. Theory, 2017

Investigations on Periodic Sequences With Maximum Nonlinear Complexity.
IEEE Trans. Inf. Theory, 2017

An analogue of the ℤ<sub>4</sub>-Goethals code in non-primitive length.
J. Syst. Sci. Complex., 2017

Yoyo Tricks with AES.
IACR Cryptol. ePrint Arch., 2017

Several classes of permutation trinomials from Niho exponents.
Cryptogr. Commun., 2017

2016
An Open Problem on the Distribution of a Niho-Type Cross-Correlation Function.
IEEE Trans. Inf. Theory, 2016

Linear Codes With Two or Three Weights From Weakly Regular Bent Functions.
IEEE Trans. Inf. Theory, 2016

Construction of de Bruijn Sequences From LFSRs With Reducible Characteristic Polynomials.
IEEE Trans. Inf. Theory, 2016

Univariate Niho Bent Functions From o-Polynomials.
IEEE Trans. Inf. Theory, 2016

Some Results on the Known Classes of Quadratic APN Functions.
IACR Cryptol. ePrint Arch., 2016

On the (non-)existence of APN (n, n)-functions of algebraic degree n.
IACR Cryptol. ePrint Arch., 2016

Linear codes with two or three weights from quadratic Bent functions.
Des. Codes Cryptogr., 2016

On the lifted Zetterberg code.
Des. Codes Cryptogr., 2016

On the Correlation Distribution for a Ternary Niho Decimation.
CoRR, 2016

Quasi-perfect linear codes from planar and APN functions.
Cryptogr. Commun., 2016

Editorial: Special issue on Boolean functions and their applications.
Cryptogr. Commun., 2016

On the lifted Melas code.
Cryptogr. Commun., 2016

New ternary binomial bent functions.
Proceedings of the IEEE International Symposium on Information Theory, 2016

2015
Permutation polynomials of the form (x<sup>p<sup>m</sup></sup>-x+δ)<sup>s</sup>+L(x) over the finite field <sub>F</sub><sub>p</sub><sub>2</sub><sub>m</sub> of odd characteristic.
Finite Fields Their Appl., 2015

Some new classes of cyclic codes with three or six weights.

A class of quaternary sequences with low correlation.

On a conjecture about a class of optimal ternary cyclic codes.
Proceedings of the Seventh International Workshop on Signal Design and its Applications in Communications, 2015

Irreducible cyclic ℤ4 - codes and allied sequences.
Proceedings of the Seventh International Workshop on Signal Design and its Applications in Communications, 2015

2014
Some Results on Cross-Correlation Distribution Between a $$p$$ -Ary $$m$$ -Sequence and Its Decimated Sequences.
IEEE Trans. Inf. Theory, 2014

A Class of de Bruijn Sequences.
IEEE Trans. Inf. Theory, 2014

The Properties of a Class of Linear FSRs and Their Applications to the Construction of Nonlinear FSRs.
IEEE Trans. Inf. Theory, 2014

New Constructions of Quadratic Bent Functions in Polynomial Form.
IEEE Trans. Inf. Theory, 2014

The Weight Distributions of Several Classes of Cyclic Codes From APN Monomials.
IEEE Trans. Inf. Theory, 2014

The Proof of Lin's Conjecture via the Decimation-Hadamard Transform.
IEEE Trans. Inf. Theory, 2014

Near-Optimal Partial Hadamard Codebook Construction Using Binary Sequences Obtained From Quadratic Residue Mapping.
IEEE Trans. Inf. Theory, 2014

Cross-Correlation between a <i>p</i>-Ary <i>m</i>-Sequence and Its All Decimated Sequences for d=((p<sup>m</sup>+1)(p<sup>m</sup>+p-1))/(p+1).
IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2014

Some classes of monomial complete permutation polynomials over finite fields of characteristic two.
Finite Fields Their Appl., 2014

Optimal ternary cyclic codes with minimum distance four and five.
Finite Fields Their Appl., 2014

New $$M$$ M -ary sequences with low autocorrelation from interleaved technique.
Des. Codes Cryptogr., 2014

Editorial: special issue on coding and cryptography.
Des. Codes Cryptogr., 2014

Special issue editorial: Sequences and their applications.
Cryptogr. Commun., 2014

On o-Equivalence of Niho Bent Functions.
Proceedings of the Arithmetic of Finite Fields - 5th International Workshop, 2014

A Note on Cross-Correlation Distribution Between a Ternary m -Sequence and Its Decimated Sequence.
Proceedings of the Sequences and Their Applications - SETA 2014, 2014

On the proof of Lin's conjecture.
Proceedings of the 2014 IEEE International Symposium on Information Theory, Honolulu, HI, USA, June 29, 2014

Niho bent functions from quadratic o-monomials.
Proceedings of the 2014 IEEE International Symposium on Information Theory, Honolulu, HI, USA, June 29, 2014

Open Problems on the Cross-correlation of m-Sequences.
Proceedings of the Open Problems in Mathematics and Computational Science, 2014

2013
Several New Classes of Bent Functions From Dillon Exponents.
IEEE Trans. Inf. Theory, 2013

On the Walsh Transform of a Class of Functions From Niho Exponents.
IEEE Trans. Inf. Theory, 2013

Optimal Ternary Cyclic Codes From Monomials.
IEEE Trans. Inf. Theory, 2013

A New Construction of Zero-Difference Balanced Functions and Its Applications.
IEEE Trans. Inf. Theory, 2013

Further results on a class of permutation polynomials over finite fields.
Finite Fields Their Appl., 2013

More Classes of Complete Permutation Polynomials over $\F_q$.
CoRR, 2013

State space cryptanalysis of the MICKEY cipher.
Proceedings of the 2013 Information Theory and Applications Workshop, 2013

Bent functions and their connections to combinatorics.
Proceedings of the Surveys in Combinatorics 2013, 2013

Correlation and autocorrelation of sequences.
Proceedings of the Handbook of Finite Fields., 2013

2012
A Class of Binomial Bent Functions Over the Finite Fields of Odd Characteristic.
IEEE Trans. Inf. Theory, 2012

On the Dual of Certain Ternary Weakly Regular Bent Functions.
IEEE Trans. Inf. Theory, 2012

A Three-Valued Walsh Transform From Decimations of Helleseth-Gong Sequences.
IEEE Trans. Inf. Theory, 2012

Further Results on Niho Bent Functions.
IEEE Trans. Inf. Theory, 2012

Niho Bent Functions and Subiaco/Adelaide Hyperovals
CoRR, 2012

New Three-Valued Walsh Transforms from Decimations of Helleseth-Gong Sequences.
Proceedings of the Sequences and Their Applications - SETA 2012, 2012

Binary Niho sequences with four-valued cross correlations.
Proceedings of the 2012 IEEE International Symposium on Information Theory, 2012

New classes of generalized boolean bent functions over Z4.
Proceedings of the 2012 IEEE International Symposium on Information Theory, 2012

New nonbinary sequence families with low correlation and large linear span.
Proceedings of the 2012 IEEE International Symposium on Information Theory, 2012

Generalized bent functions and their relation to Maiorana-McFarland class.
Proceedings of the 2012 IEEE International Symposium on Information Theory, 2012

2011
Sequences.
Proceedings of the Encyclopedia of Cryptography and Security, 2nd Ed., 2011

Run.
Proceedings of the Encyclopedia of Cryptography and Security, 2nd Ed., 2011

Pseudo-Noise Sequences (PN-Sequences).
Proceedings of the Encyclopedia of Cryptography and Security, 2nd Ed., 2011

Maximal-Length Sequences.
Proceedings of the Encyclopedia of Cryptography and Security, 2nd Ed., 2011

Golomb's Randomness Postulates.
Proceedings of the Encyclopedia of Cryptography and Security, 2nd Ed., 2011

Gap.
Proceedings of the Encyclopedia of Cryptography and Security, 2nd Ed., 2011

De Bruijn Sequence.
Proceedings of the Encyclopedia of Cryptography and Security, 2nd Ed., 2011

Cross-Correlation.
Proceedings of the Encyclopedia of Cryptography and Security, 2nd Ed., 2011

Autocorrelation.
Proceedings of the Encyclopedia of Cryptography and Security, 2nd Ed., 2011

Generic Construction of Quaternary Sequences of Period 2N With Low Correlation From Quaternary Sequences of Odd Period N.
IEEE Trans. Inf. Theory, 2011

Constant Composition Codes as Subcodes of Cyclic Codes.
IEEE Trans. Inf. Theory, 2011

Several Classes of Codes and Sequences Derived From a $\BBZ_{4}$-Valued Quadratic Form.
IEEE Trans. Inf. Theory, 2011

Fast Discrete Fourier Spectra Attacks on Stream Ciphers.
IEEE Trans. Inf. Theory, 2011

On Isotopisms of Commutative presemifields and CCZ-Equivalence of Functions.
Int. J. Found. Comput. Sci., 2011

Crosscorrelation of m-sequences, exponential sums, bent functions and Jacobsthal sums.
Cryptogr. Commun., 2011

New commutative semifields defined by new PN multinomials.
Cryptogr. Commun., 2011

Two nonbinary sequences with six-valued cross correlation.
Proceedings of the Fifth International Workshop on Signal Design and its Applications in Communications, 2011

On bent functions associated to AB functions.
Proceedings of the 2011 IEEE Information Theory Workshop, 2011

Simplifying algebraic attacks with univariate analysis.
Proceedings of the Information Theory and Applications Workshop, 2011

On the dual of bent functions with 2<sup>r</sup> Niho exponents.
Proceedings of the 2011 IEEE International Symposium on Information Theory Proceedings, 2011

2010
New binomial bent functions over the finite fields of odd characteristic.
IEEE Trans. Inf. Theory, 2010

Crosscorrelation of <i>m</i>-Sequences, Exponential Sums and Dickson Polynomials.
IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2010

x<sup>2<sup>l</sup>+1</sup>+x+a and related affine polynomials over GF (2<sup><i>k</i></sup>).
Cryptogr. Commun., 2010

Sequences, Bent Functions and Jacobsthal Sums.
Proceedings of the Sequences and Their Applications - SETA 2010, 2010

On generalized bent functions.
Proceedings of the Information Theory and Applications Workshop, 2010

Algebraic attack on the Alternating Step(r, s) Generator.
Proceedings of the IEEE International Symposium on Information Theory, 2010

2009
Algebraic Attacks on Filter and Combiner Generators.
Proceedings of the Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes, 2009

Two New Families of Optimal Binary Sequences Obtained From Quaternary Sequences.
IEEE Trans. Inf. Theory, 2009

Further results on m-sequences with five-valued cross correlation.
IEEE Trans. Inf. Theory, 2009

A Family of m -Sequences With Five-Valued Cross Correlation.
IEEE Trans. Inf. Theory, 2009

Period-different m-sequences with at most four-valued cross correlation.
IEEE Trans. Inf. Theory, 2009

Proofs of two conjectures on ternary weakly regular bent functions.
IEEE Trans. Inf. Theory, 2009

New commutative semifields defined by PN multinomials.
IACR Cryptol. ePrint Arch., 2009

Divisibility properties of classical binary Kloosterman sums.
Discret. Math., 2009

A new optimal quaternary sequence family of length 2(2<sup><i>n</i></sup> - 1) obtained from the orthogonal transformation of Families <i>B</i> and <i>C</i>.
Des. Codes Cryptogr., 2009

New Binomial Bent Function over the Finite Fields of Odd Characteristic
CoRR, 2009

Triple-error-correcting BCH-like codes.
Proceedings of the IEEE International Symposium on Information Theory, 2009

2008
Cascade Jump Controlled Sequence Generator and Pomaranch Stream Cipher.
Proceedings of the New Stream Cipher Designs - The eSTREAM Finalists, 2008

Algebraic Coding Theory.
Proceedings of the Wiley Encyclopedia of Computer Science and Engineering, 2008

The Correlation Distribution of Quaternary Sequences of Period 2(2<sup>n-1)</sup>.
IEEE Trans. Inf. Theory, 2008

On Cosets of Weight 4 of BCH(2<sup>m</sup>, 8), m Even, and Exponential Sums.
SIAM J. Discret. Math., 2008

On the equation x<sup>2<sup>l</sup>+1</sup>+x+a=0 over GF(2<sup>k</sup>).
Finite Fields Their Appl., 2008

Preface.
Des. Codes Cryptogr., 2008

Editorial: In memory of Hans Dobbertin.
Des. Codes Cryptogr., 2008

On the Equation $x^{2^l+1}+x+a=0$ over $\mathrm{GF}(2^k)$ (Extended Version)
CoRR, 2008

On the Correlation Distribution of Kerdock Sequences.
Proceedings of the Sequences and Their Applications, 2008

m-Sequences of Lengths 2<sup>2k</sup>-1 and 2<sup>k</sup>-1 with at Most Four-Valued Cross Correlation.
Proceedings of the Sequences and Their Applications, 2008

New Perfect Nonlinear Multinomials over Ffor Any Odd Prime p.
Proceedings of the Sequences and Their Applications, 2008

m-sequences of different lengths with four-valued cross correlation.
Proceedings of the 2008 IEEE International Symposium on Information Theory, 2008

Divisibility properties of Kloosterman sums over finite fields of characteristic two.
Proceedings of the 2008 IEEE International Symposium on Information Theory, 2008

2007
A New Attack on the Filter Generator.
IEEE Trans. Inf. Theory, 2007

A New Family of Four-Valued Cross Correlation Between m-Sequences of Different Lengths.
IEEE Trans. Inf. Theory, 2007

A New Family of Ternary Almost Perfect Nonlinear Mappings.
IEEE Trans. Inf. Theory, 2007

Characterization of m-Sequences of Lengths 2<sup>2k</sup>-1 and 2<sup>k</sup>-1 With Three-Valued Cross Correlation.
IEEE Trans. Inf. Theory, 2007

A Generic Construction of Cartesian Authentication Codes.
IEEE Trans. Inf. Theory, 2007

The divisibility modulo 24 of Kloosterman sums on <i>GF</i>(2<sup><i>m</i></sup>), <i>m</i> odd.
J. Comb. Theory, Ser. A, 2007

On Niho type cross-correlation functions of m-sequences.
Finite Fields Their Appl., 2007

Propagation characteristics of xx<sup>-1</sup> and Kloosterman sums.
Finite Fields Their Appl., 2007

Characterization of m-Sequences of Lengths $2^{2k}-1$ and $2^k-1$ with Three-Valued Crosscorrelation
CoRR, 2007

Attacking the Filter Generator over <i>GF</i> (2<sup> <i>m</i> </sup>).
Proceedings of the Arithmetic of Finite Fields, First International Workshop, 2007

A New Family of Gold-Like Sequences.
Proceedings of the Sequences, Subsequences, and Consequences, International Workshop, 2007

The Linear Vector Space Spanned by the Nonlinear Filter Generator.
Proceedings of the Sequences, Subsequences, and Consequences, International Workshop, 2007

On Attacks on Filtering Generators Using Linear Subspace Structures.
Proceedings of the Sequences, Subsequences, and Consequences, International Workshop, 2007

On the Dual of Monomial Quadratic <i>p</i> -ary Bent Functions.
Proceedings of the Sequences, Subsequences, and Consequences, International Workshop, 2007

On binary primitive BCH codes with minimum distance 8 and exponential sums.
Proceedings of the IEEE International Symposium on Information Theory, 2007

A Survey of Recent Attacks on the Filter Generator.
Proceedings of the Applied Algebra, 2007

2006
On the correlation distribution of the Coulter-Matthews decimation.
IEEE Trans. Inf. Theory, 2006

A New Three-Valued Cross Correlation Between m-Sequences of Different Lengths.
IEEE Trans. Inf. Theory, 2006

Cross correlation of m-sequences of different lengths.
IEEE Trans. Inf. Theory, 2006

Linear Properties in T-Functions.
IEEE Trans. Inf. Theory, 2006

Monomial and quadratic bent functions over the finite fields of odd characteristic.
IEEE Trans. Inf. Theory, 2006

Niho type cross-correlation functions via dickson polynomials and Kloosterman sums.
IEEE Trans. Inf. Theory, 2006

The coset distribution of triple-error-correcting binary primitive BCH codes.
IEEE Trans. Inf. Theory, 2006

The Grey-Rankin bound for nonbinary codes.
Probl. Inf. Transm., 2006

Security of Jump Controlled Sequence Generators for Stream Ciphers.
Proceedings of the Sequences and Their Applications, 2006

On a new q-ary combinatorial analog of the binary Grey-Rankin bound and codes meeting this bound.
Proceedings of the 2006 IEEE Information Theory Workshop, 2006

Three-Valued Crosscorrelation Between m-Sequences of Different Lengths.
Proceedings of the Proceedings 2006 IEEE International Symposium on Information Theory, 2006

A bound for codes with given minimum and maximum distances.
Proceedings of the Proceedings 2006 IEEE International Symposium on Information Theory, 2006

2005
Sequences.
Proceedings of the Encyclopedia of Cryptography and Security, 2005

Run.
Proceedings of the Encyclopedia of Cryptography and Security, 2005

Pseudo-Noise Sequence (PN-Sequence).
Proceedings of the Encyclopedia of Cryptography and Security, 2005

Maximal-Length Linear Sequence.
Proceedings of the Encyclopedia of Cryptography and Security, 2005

Golomb'S Randomness Postulates.
Proceedings of the Encyclopedia of Cryptography and Security, 2005

Gap.
Proceedings of the Encyclopedia of Cryptography and Security, 2005

DeBruijn sequence.
Proceedings of the Encyclopedia of Cryptography and Security, 2005

Cross-Correlation.
Proceedings of the Encyclopedia of Cryptography and Security, 2005

Autocorrelation.
Proceedings of the Encyclopedia of Cryptography and Security, 2005

The second support weight distribution of the Kasami codes.
IEEE Trans. Inf. Theory, 2005

New cyclic relative difference sets constructed from d-homogeneous functions with difference-balanced property.
IEEE Trans. Inf. Theory, 2005

Error-correction capability of binary linear codes.
IEEE Trans. Inf. Theory, 2005

On Cosets of Weight 4 of Binary BCH Codes with Minimum Distance 8 and Exponential Sums.
Probl. Inf. Transm., 2005

New pairs of m-sequences with 4-level cross-correlation.
Finite Fields Their Appl., 2005

New monomial bent functions over the finite fields of odd characteristic.
Proceedings of the IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, 2005

Alinear weakness in the Klimov-Shamir T-function.
Proceedings of the 2005 IEEE International Symposium on Information Theory, 2005

2004
New Family of p-ary Sequences With Optimal Correlation Property and Large Linear Span.
IEEE Trans. Inf. Theory, 2004

IEEE Trans. Inf. Theory, 2004

On the (2, 1)-separating weight of the Kerdock code.
IEEE Trans. Inf. Theory, 2004

Linear complexity over F<sub>p</sub> of Sidel'nikov sequences.
IEEE Trans. Inf. Theory, 2004

The Simplex Codes and Other Even-Weight Binary Linear Codes for Error Correction.
IEEE Trans. Inf. Theory, 2004

On Weight Distributions of Shifts of Goethals-like Codes.
Probl. Inf. Transm., 2004

A simple proof to the minimum distance of Z<sub>4</sub>-linear Goethals-like codes.
J. Complex., 2004

On a new identity for Kloosterman sums and nonlinear system of equations over finite fields of characteristic 2.
Discret. Math., 2004

An Assmus-Mattson-Type Approach for Identifying 3-Designs from Linear Codes over Z<sub>4</sub>.
Des. Codes Cryptogr., 2004

On the <i>p</i>-Ranks and Characteristic Polynomials of Cyclic Difference Sets.
Des. Codes Cryptogr., 2004

A Proof of Simmons' Conjecture.
Des. Codes Cryptogr., 2004

Linear complexity over F/sub p/ of Sidel'nikov sequences.
Proceedings of the 2004 IEEE International Symposium on Information Theory, 2004

On q-ary Grey-Rankin bound and codes meeting this bound.
Proceedings of the 2004 IEEE International Symposium on Information Theory, 2004

An Improved Correlation Attack Against Irregular Clocked and Filtered Keystream Generators.
Proceedings of the Advances in Cryptology, 2004

2003
On the minimum distance of array codes as LDPC codes.
IEEE Trans. Inf. Theory, 2003

Linear complexity over F<sub>p</sub> and trace representation of Lempel-Cohn-Eastman sequences.
IEEE Trans. Inf. Theory, 2003

Logarithm cartesian authentication codes.
Inf. Comput., 2003

3-Designs from the <i>Z</i><sub>4</sub>-Goethals Codes via a New Kloosterman Sum Identity.
Des. Codes Cryptogr., 2003

Hypercubic 4 and 5-Designs from Double-Error-Correcting BCH Codes.
Des. Codes Cryptogr., 2003

A coset weight count that proves that the simplex codes are not optimal for error correction.
Proceedings of the Proceedings 2003 IEEE Information Theory Workshop, 2003

Separating and Intersecting Properties of BCH and Kasami Codes.
Proceedings of the Cryptography and Coding, 2003

Improved Fast Correlation Attack Using Low Rate Codes.
Proceedings of the Cryptography and Coding, 2003

2002
New nonbinary sequences with ideal two-level autocorrelation.
IEEE Trans. Inf. Theory, 2002

The minimum distance of the duals of binary irreducible cyclic codes.
IEEE Trans. Inf. Theory, 2002

2001
New construction for binary sequences of period p<sup>m</sup>-1 with Optimal autocorrelation using (z+1)<sup>d</sup>+az<sup>d</sup>+b.
IEEE Trans. Inf. Theory, 2001

On coset weight distributions of the Z4-linear Goethals codes.
IEEE Trans. Inf. Theory, 2001

Codes with the same coset weight distributions as the Z<sub>4</sub>-linear Goethals codes.
IEEE Trans. Inf. Theory, 2001

Ternary m-sequences with three-valued cross-correlation function: New decimations of Welch and Niho type.
IEEE Trans. Inf. Theory, 2001

New families of binary sequences with optimal three-level autocorrelation.
IEEE Trans. Inf. Theory, 2001

Almost difference sets and their sequences with optimal autocorrelation.
IEEE Trans. Inf. Theory, 2001

Sequences with good correlations and some open problems.
Electron. Notes Discret. Math., 2001

5-Designs from the lifted Golay code over Z<sub>4</sub> via an Assmus-Mattson type approach.
Discret. Math., 2001

New 3-designs from Goethals codes over <i>Z</i><sub>4</sub>.
Discret. Math., 2001

On <i>t</i>-designs from codes over <i>Z</i><sub>4</sub>.
Discret. Math., 2001

A New Family of Ternary Sequences with Ideal Two-level Autocorrelation Function.
Des. Codes Cryptogr., 2001

On Binary Sequences of Period n = pm ∓ 1 with Optimal Autocorrelation.
Proceedings of the Sequences and their Applications, 2001

On the Crosscorrelation of m-Sequences and Related Sequences with Ideal Autocorrelation.
Proceedings of the Sequences and their Applications, 2001

Codes over Z<sub>4</sub>.
Proceedings of the Computational Discrete Mathematics, Advanced Lectures, 2001

2000
There is no ternary [28, 6, 16] code.
IEEE Trans. Inf. Theory, 2000

On a conjectured ideal autocorrelation sequence, a related triple-error correcting cyclic code.
IEEE Trans. Inf. Theory, 2000

Discret. Math., 2000

1999
On algebraic decoding of the Z<sub>4</sub>-linear Calderbank-McGuire code.
IEEE Trans. Inf. Theory, 1999

New Families of Almost Perfect Nonlinear Power Mappings.
IEEE Trans. Inf. Theory, 1999

Further Results on Generalized Hamming Weights for Goethals and Preparata Codes Over Z<sub>4</sub>.
IEEE Trans. Inf. Theory, 1999

Several classes of binary sequences with three-level autocorrelation.
IEEE Trans. Inf. Theory, 1999

Generalized Cyclotomic Codes of Length p<sub>1</sub><sup>e<sup>1</sup></sup> ... p<sub>t</sub><sup>e<sup>t</sup></sup>.
IEEE Trans. Inf. Theory, 1999

Binary Sequences of Period 2m-1 with Large Linear Complexity.
Inf. Comput., 1999

New infinite families of 3-designs from preparata codes over Z<sub>4</sub>.
Discret. Math., 1999

On Linear Goethals Codes and Kloosterman Sums.
Des. Codes Cryptogr., 1999

Split Weight Enumerators for the Preparata Codes with Applications to Designs.
Des. Codes Cryptogr., 1999

1998
On the Weight Hierarchy of Goethals Codes over Z<sub>4</sub>.
IEEE Trans. Inf. Theory, 1998

On the Linear Complexity of Legendre Sequences.
IEEE Trans. Inf. Theory, 1998

On Cyclotomic Generator of Order <i>r</i>.
Inf. Process. Lett., 1998

Two New Infinite Families of 3-Designs from Kerdock Codes over Z.
Des. Codes Cryptogr., 1998

An Infinite Family of 3-Designs from Preparata Codes over Z.
Des. Codes Cryptogr., 1998

How to Build Robust Shared Control Systems.
Des. Codes Cryptogr., 1998

Correlation Distribution of the Quaternary Kasami Sequences.
Proceedings of the Sequences and their Applications, 1998

Correlation of m-Sequences and Related Topics.
Proceedings of the Sequences and their Applications, 1998

1997
On the weight hierarchy of Preparata codes over Z<sub>4</sub>.
IEEE Trans. Inf. Theory, 1997

On the information function of an error-correcting code.
IEEE Trans. Inf. Theory, 1997

IEEE Trans. Inf. Theory, 1997

On the [162, 8, 80] codes.
IEEE Trans. Inf. Theory, 1997

An Expansion for the Coordinates of the Trace Function over Galois Rings.
Appl. Algebra Eng. Commun. Comput., 1997

Some Power Mappings with Low Differential Uniformity.
Appl. Algebra Eng. Commun. Comput., 1997

1996
On the weight hierarchy of Kerdock codes over Z<sub>4</sub>.
IEEE Trans. Inf. Theory, 1996

Improved binary codes and sequence families from Z<sub>4</sub>-linear codes.
IEEE Trans. Inf. Theory, 1996

Upper bound for a hybrid sum over Galois rings with applications to aperiodic correlation of some q-ary sequences.
IEEE Trans. Inf. Theory, 1996

Large families of quaternary sequences with low correlation.
IEEE Trans. Inf. Theory, 1996

Improved estimates via exponential sums for the minimum distance of Z<sub>4</sub>-linear trace codes.
IEEE Trans. Inf. Theory, 1996

The weight hierarchies of some product codes.
IEEE Trans. Inf. Theory, 1996

Cyclic codes over Z<sub>4</sub>, locator polynomials, and Newton's identities.
IEEE Trans. Inf. Theory, 1996

On the weight hierarchy of the semiprimitive codes.
Discret. Math., 1996

De Bruijn sequences, irreducible codes and cyclotomy.
Discret. Math., 1996

Codes with the Same Weight Distributions as the Goethals Codes and the Delsarte-Goethals Codes.
Des. Codes Cryptogr., 1996

Universal Hash Functions from Exponential Sums over Finite Fields and Galois Rings.
Proceedings of the Advances in Cryptology, 1996

1995
An upper bound for Weft exponential sums over Galois tings and applications.
IEEE Trans. Inf. Theory, 1995

Bounds on the minimum support weights.
IEEE Trans. Inf. Theory, 1995

The algebraic decoding of the Z<sub>4</sub>-linear Goethals code.
IEEE Trans. Inf. Theory, 1995

The weight hierarchy of the Kasami codes.
Discret. Math., 1995

A characterization of some {3v<sub>µ+1</sub>, 3v<sub>µ</sub>; k-1, q}-minihypers and some [n, k, q<sup>k-1</sup> - 3q<sup>µ</sup>; q]-codes (k >= 3, q >= 5, 1 <= µ < k-1) meeting the Griesmer bound.
Discret. Math., 1995

1994
Use of Grobner bases to decode binary cyclic codes up to the true minimum distance.
IEEE Trans. Inf. Theory, 1994

General principles for the algebraic decoding of cyclic codes.
IEEE Trans. Inf. Theory, 1994

1993
Characterization of {2(q+1)+2, 2;t, q}-minihypers in PG(t, q) (t>=3, qepsilon{3, 4}).
Discret. Math., 1993

A New Class of Nonbinary Codes Meeting the Griesmer Bound.
Discret. Appl. Math., 1993

Generalizations of the Griesmer Bound.
Proceedings of the Error Control, Cryptology, and Speech Compression, 1993

1992
Generalized Hamming weights of linear codes.
IEEE Trans. Inf. Theory, 1992

Projective codes meeting the Griesmer bound.
Discret. Math., 1992

A characterization of some {2u<sub>alpha+1</sub>+u<sub>gamma+1</sub>, 2u<sub>alpha</sub>+u<sub>gamma</sub>; k-1, 3}- minihypers and some (n, k, 3<sup>k-1</sup> -2·3<sup>alpha</sup>-3<sup>gamma</sup>; 3)-codes (k>=3, 0<=alpha<gamma<k-1) meeting the Griesmer bound.
Discret. Math., 1992

On the Construction of [q<sup>4</sup> + q<sup>2</sup> - q, 5, q<sup>4</sup> - q<sup>3</sup> + q<sup>2</sup> - 2q; q]-Codes Meeting the Griesmer Bound.
Des. Codes Cryptogr., 1992

Legendre sums and codes related to QR codes.
Discret. Appl. Math., 1992

1991
The number of cross-join pairs in maximum length linear sequences.
IEEE Trans. Inf. Theory, 1991

1990
There is no binary [25, 8, 10] code (corresp.).
IEEE Trans. Inf. Theory, 1990

A Characterization of Some Minihypers in a Finite Projective Geometry PG(t, 4).
Eur. J. Comb., 1990

1987
New bounds on binary linear codes of dimension eight.
IEEE Trans. Inf. Theory, 1987

1985
On the cosets of the simplex code.
Discret. Math., 1985

On the covering radius of cyclic linear codes and arithmetic codes.
Discret. Appl. Math., 1985

1984
Further classifications of codes meeting the Griesmer bound.
IEEE Trans. Inf. Theory, 1984

1983
New constructions of codes meeting the Griesmer bound.
IEEE Trans. Inf. Theory, 1983

1981
A Characterization of Codes Meeting the Griesmer Bound
Inf. Control., August, 1981

On Group-Theoretic Codes for Assymmetric Channels
Inf. Control., April, 1981

A new class of codes meeting the Griesmer bound.
IEEE Trans. Inf. Theory, 1981

1979
No primitive binary t -error-correcting BCH code with t > 2 is quasi-perfect (Corresp.).
IEEE Trans. Inf. Theory, 1979

The weight distribution of the coset leaders for some classes of codes with related parity-check matrices.
Discret. Math., 1979

1978
On the covering radius of binary codes (Corresp.).
IEEE Trans. Inf. Theory, 1978

All binary 3-error-correcting BCH codes of length 2<sup>m-i</sup> have covering radius 5 (Corresp.).
IEEE Trans. Inf. Theory, 1978

A note on the cross-correlation function between two binary maximal length linear sequences.
Discret. Math., 1978

1977
The weight distribution of irreducible cyclic codes with block lengths n<sub>1</sub>((q<sup>1</sup>-1)/N).
Discret. Math., 1977

The weight enumerator polynomials of some classes of codes with composite parity-check polynomials.
Discret. Math., 1977

1976
Some two-weight codes with composite parity-check polynomials (Corresp.).
IEEE Trans. Inf. Theory, 1976

Some results about the cross-correlation function between two maximal linear sequences.
Discret. Math., 1976