Solomon W. Golomb

According to our database1, Solomon W. Golomb authored at least 95 papers between 1959 and 2018.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of two.

Awards

IEEE Fellow

IEEE Fellow 1982, "For pioneering contributions to the development of digital communications and information theory, embodying unique and novel applications of techniques from discrete mathematics.".

Timeline

Legend:

Book 
In proceedings 
Article 
PhD thesis 
Other 

Links

Homepages:

On csauthors.net:

Bibliography

2018
A Career in Engineering.
IEEE Trans. Inf. Theory, 2018

2016
Optimal Families of Perfect Polyphase Sequences From the Array Structure of Fermat-Quotient Sequences.
IEEE Trans. Inf. Theory, 2016

Optimum Seating Arrangements and Tuscan Squares.
Ars Comb., 2016

2014
A Simple Construction of Almost Perfect Quinary ASK and QAM Sequences.
Proceedings of the Sequences and Their Applications - SETA 2014, 2014

Conjectures Involving Sequences and Prime Numbers.
Proceedings of the Sequences and Their Applications - SETA 2014, 2014

2013
Algebraic Symmetries of Generic $(m+1)$-Dimensional Periodic Costas Arrays.
IEEE Trans. Inf. Theory, 2013

2012
Infinite Sequences with Finite Cross-Correlation-II.
Proceedings of the Sequences and Their Applications - SETA 2012, 2012

2010
A New Construction of 16-QAM Near Complementary Sequences.
IEEE Trans. Inf. Theory, 2010

Infinite Sequences with Finite Cross-Correlation.
Proceedings of the Sequences and Their Applications - SETA 2010, 2010

2008
Two-Dimensional Array Coloring With Many Colors.
IEEE Trans. Inf. Theory, 2008

Orthogonal Sudoku Squares: 11214.
Am. Math. Mon., 2008

2007
A Note on Low-Correlation Zone Signal Sets.
IEEE Trans. Inf. Theory, 2007

Irreducible Polynomials Which Divide Trinomials Over GF, (2).
IEEE Trans. Inf. Theory, 2007

The Status of Costas Arrays.
IEEE Trans. Inf. Theory, 2007

There Are No Further Counterexamples to S. Piccard's Theorem.
IEEE Trans. Inf. Theory, 2007

Optimal interleaving schemes for correcting two-dimensional cluster errors.
Discret. Appl. Math., 2007

Periodic Binary Sequences: Solved and Unsolved Problems.
Proceedings of the Sequences, Subsequences, and Consequences, International Workshop, 2007

Actions of the Unitary Group on Irreducible/Primitive Polynomials and Their Applications to Randomness of Sequences.
Proceedings of the IEEE Information Theory Workshop on Information Theory for Wireless Networks, 2007

2006
A new construction of 64-QAM golay complementary sequences.
IEEE Trans. Inf. Theory, 2006

Optimal Interleaving Schemes for Two-Dimensional Arrays.
IEEE Trans. Inf. Theory, 2006

A Consequence of Dirichlet's Theorem: 11109.
Am. Math. Mon., 2006

Problem 11214.
Am. Math. Mon., 2006

On the Classification of Cyclic Hadamard Sequences.
IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2006

Shift Register Sequences - A Retrospective Account.
Proceedings of the Sequences and Their Applications, 2006

OOCs, Partial Relative Difference Families and a Conjecture of Golomb.
Proceedings of the Proceedings 2006 IEEE International Symposium on Information Theory, 2006

2005
Optimal 2-D interleaving with latin rectangles.
IEEE Trans. Inf. Theory, 2005

A Recursive Construction For Regular Difference Triangle Sets.
SIAM J. Discret. Math., 2005

2004
Polyominoes.
Proceedings of the Handbook of Discrete and Computational Geometry, Second Edition., 2004

Problem 11109.
Am. Math. Mon., 2004

Which Irreducible Polynomials Divide Trinomials over GF(2)?
Proceedings of the Sequences and Their Applications, 2004

Optimal interleaving schemes for correcting 2-D cluster errors.
Proceedings of the 2004 IEEE International Symposium on Information Theory, 2004

A new optimal double periodical construction of one target two-dimensional arrays.
Proceedings of the 2004 IEEE International Symposium on Information Theory, 2004

2003
A new recursive construction for optical orthogonal codes.
IEEE Trans. Inf. Theory, 2003

A note on the equivalence between strict optical orthogonal codes and difference triangle sets.
IEEE Trans. Inf. Theory, 2003

2002
The decimation-Hadamard transform of two-level autocorrelation sequences.
IEEE Trans. Inf. Theory, 2002

Circular Tuscan-k Arrays from Permutation Binomials.
J. Comb. Theory, Ser. A, 2002

2001
Exhaustive determination of (1023, 511, 255)-cyclic difference sets.
Math. Comput., 2001

Cyclic Projective Planes, Perfect Circular Rulers, and Good Spanning Rulers.
Proceedings of the Sequences and their Applications, 2001

Hyper-Cyclotomic Algebra.
Proceedings of the Sequences and their Applications, 2001

2000
Enumeration and criteria for cyclically shift-distinct GMW sequences.
IEEE Trans. Inf. Theory, 2000

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

Tiling Rectangles with Trominoes: 10641.
Am. Math. Mon., 2000

Cyclic inequivalence of cascaded GMW-sequences.
Discret. Math., 2000

1999
Transform domain analysis of DES.
IEEE Trans. Inf. Theory, 1999

Hadamard transforms of three-term sequences.
IEEE Trans. Inf. Theory, 1999

Binary Sequences with Two-Level Autocorrelation.
IEEE Trans. Inf. Theory, 1999

Periodic Binary Sequences with the "Trinomial Property".
IEEE Trans. Inf. Theory, 1999

Generating all linear orthomorphisms without repetition.
Discret. Math., 1999

On the Cryptanalysis of Nonlinear Sequences.
Proceedings of the Cryptography and Coding, 1999

1998
Binary Pseudorandom Sequences of Period 2<sup>n</sup>-1 with Ideal Autocorrelation.
IEEE Trans. Inf. Theory, 1998

Recent Results on Polyphase Sequences.
IEEE Trans. Inf. Theory, 1998

The Polynomial Model in the Study of Counterexamples to S. Piccard's Theorem.
Ars Comb., 1998

Cyclic Hadamard Difference Sets - Constructions and Applications.
Proceedings of the Sequences and their Applications, 1998

On Ideal Autocorrelation Sequences Arising from Hyperovals.
Proceedings of the Sequences and their Applications, 1998

1997
Extended sonar sequences.
IEEE Trans. Inf. Theory, 1997

1996
On periodicity properties of Costas arrays and a conjecture on permutation polynomials.
IEEE Trans. Inf. Theory, 1996

7200-phase generalized Barker sequences.
IEEE Trans. Inf. Theory, 1996

On Factoring Jevons' Number.
Cryptologia, 1996

1995
An Octomino of High Order.
J. Comb. Theory, Ser. A, 1995

1994
On the existence of cyclic Hadamard difference sets.
IEEE Trans. Inf. Theory, 1994

Some new constructions for simplex codes.
IEEE Trans. Inf. Theory, 1994

On n-phase Barker sequences.
IEEE Trans. Inf. Theory, 1994

1993
Polyphase sequence with low autocorrelations.
IEEE Trans. Inf. Theory, 1993

On the nonperiodic cyclic equivalence classes of Reed-Solomon codes.
IEEE Trans. Inf. Theory, 1993

1992
The T<sub>4</sub> and G<sub>4</sub> constructions for Costas arrays.
IEEE Trans. Inf. Theory, 1992

Progressions in Every Two-Coloration of Z<sub>n</sub>.
J. Comb. Theory, Ser. A, 1992

Probability, information theory, and prime number theory.
Discret. Math., 1992

Error-correcting Codes and the Genome Project.
Comput. Chem., 1992

1990
On the crosscorrelation of generalized Barker sequences.
IEEE Trans. Inf. Theory, 1990

Uniqueness of the generalized Barker sequence of length 6.
IEEE Trans. Inf. Theory, 1990

A limit theorem for n-phase Barker sequences (corresp.).
IEEE Trans. Inf. Theory, 1990

Linear spans of modified de Bruijn sequences.
IEEE Trans. Inf. Theory, 1990

1989
Sixty-phase generalized Barker sequences.
IEEE Trans. Inf. Theory, 1989

Polyominoes which tile rectangles.
J. Comb. Theory, Ser. A, 1989

1984
Algebraic Constructions for Costas Arrays.
J. Comb. Theory, Ser. A, 1984

1983
On the characteristics of PN sequences.
IEEE Trans. Inf. Theory, 1983

1982
Two-dimensional synchronization patterns for minimum ambiguity.
IEEE Trans. Inf. Theory, 1982

1980
Sources Which Maximize the Choice of a Huffman Coding Tree
Inf. Control., June, 1980

On the classification of balanced binary sequences of period 2<sup>n-1</sup> (Corresp.).
IEEE Trans. Inf. Theory, 1980

The limiting behavior of the Z-channel (Corresp.).
IEEE Trans. Inf. Theory, 1980

Obtaining Specified Irreducible Polynomials over Finite Fields.
SIAM J. Matrix Anal. Appl., 1980

Cryptographic Reflections on the Genetic Code.
Cryptologia, 1980

1972
On the survival of sequence information in filters (Corresp.).
IEEE Trans. Inf. Theory, 1972

1969
A general formulation of error matrices (Corresp.).
IEEE Trans. Inf. Theory, 1969

1968
Theory of transformation groups of polynomials over GF(2) with applications to linear shift register sequences.
Inf. Sci., 1968

1966
Run-length encodings (Corresp.).
IEEE Trans. Inf. Theory, 1966

The information generating function of a probability distribution (Corresp.).
IEEE Trans. Inf. Theory, 1966

References to pentominoes.
Commun. ACM, 1966

Combinatorial aspects of automated designs.
Proceedings of the SHARE design automation project, 1966

1965
Codes With Bounded Synchronization Delay
Inf. Control., August, 1965

Generalized Barker sequences.
IEEE Trans. Inf. Theory, 1965

Backtrack Programming.
J. ACM, 1965

1964
Rook domains, Latin squares, affine planes, and error-distributing codes.
IEEE Trans. Inf. Theory, 1964

1961
A new derivation of the entropy expressions.
IRE Trans. Inf. Theory, 1961

1959
On the classification of Boolean functions.
IRE Trans. Inf. Theory, 1959


  Loading...