Gary McGuire

According to our database, Gary McGuire authored at least 68 papers between 1995 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

MDS, Hermitian almost MDS, and Gilbert-Varshamov quantum codes from generalized monomial-Cartesian codes.

Beatriz Barbero-Lucas, Fernando Hernando, Helena Martín-Cruz, Gary McGuire

Quantum Inf. Process., March, 2024

2022

Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields.

Rod Gow, Gary McGuire

Finite Fields Their Appl., 2022

2021

Decoding Algorithm for Quadruple-Error-Correcting Reed-Solomon Codes and Its Derived Architectures.

Francisco Garcia-Herrero, Gary McGuire, Mark F. Flanagan, Alfonso Sánchez-Macián, Juan Antonio Maestro

IEEE Trans. Circuits Syst. II Express Briefs, 2021

On the termination of the general XL algorithm and ordinary multinomials.

Gary McGuire, Daniela O'Hara

J. Symb. Comput., 2021

Lattice Sieving in Three Dimensions for Discrete Log in Medium Characteristic.

Gary McGuire, Oisín Robinson

J. Math. Cryptol., 2021

2020

Quantum codes from a new construction of self-orthogonal algebraic geometry codes.

Fernando Hernando, Gary McGuire, Francisco Monserrat, Julio José Moyano-Fernández

Quantum Inf. Process., 2020

Linearized Polynomials and Their Adjoints, and Some Connections to Linear Sets and Semifields.

Gary McGuire, John Sheekey

Proceedings of the Arithmetic of Finite Fields - 8th International Workshop, 2020

2019

A characterization of the number of roots of linearized and projective polynomials in the field of coefficients.

Gary McGuire, John Sheekey

Finite Fields Their Appl., 2019

2018

On the zeta functions of supersingular curves.

Gary McGuire, Emrah Sercan Yilmaz

Finite Fields Their Appl., 2018

2017

A few more index calculus algorithms for the ECDLP.

Gary McGuire, Daniela Müller

IACR Cryptol. ePrint Arch., 2017

2016

JKL-ECM: an implementation of ECM using Hessian curves.

Henriette Heer, Gary McGuire, Oisín Robinson

LMS J. Comput. Math., 2016

Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients.

Omran Ahmadi, Faruk Göloglu, Robert Granger, Gary McGuire, Emrah Sercan Yilmaz

Finite Fields Their Appl., 2016

2015

Further results on the number of rational points of hyperelliptic supersingular curves in characteristic 2.

Gary McGuire, Emrah Sercan Yilmaz

Des. Codes Cryptogr., 2015

Curves over finite fields and linear recurring sequences.

Omran Ahmadi, Gary McGuire

Proceedings of the Surveys in Combinatorics 2015, 2015

2014

Supersingular curves over finite fields and weight divisibility of codes.

Cem Güneri, Gary McGuire

J. Comput. Appl. Math., 2014

On theorems of Carlitz and Payne on permutation polynomials over finite fields with an application to x^-1+L(x).

Faruk Göloglu, Gary McGuire

Finite Fields Their Appl., 2014

There Is No 16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem via Hitting Set Enumeration.

Gary McGuire, Bastian Tugemann, Gilles Civario

Exp. Math., 2014

2013

Solving a 6120-bit DLP on a Desktop Computer.

Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel

IACR Cryptol. ePrint Arch., 2013

On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in F_2¹⁹⁷¹.

Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel

IACR Cryptol. ePrint Arch., 2013

On the Classification of Exceptional Planar Functions over $\mathbb{F}_{p}$

Fernando Hernando, Gary McGuire, Francisco Monserrat

CoRR, 2013

On the Function Field Sieve and the Impact of Higher Splitting Probabilities - Application to Discrete Logarithms in and.

Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel

Proceedings of the Advances in Cryptology - CRYPTO 2013, 2013

On The Classification of Perfect Nonlinear (PN) and Almost Perfect Nonlinear (APN) Monomial Functions.

Fernando Hernando, Gary McGuire

Proceedings of the Finite Fields and Their Applications - Character Sums and Polynomials., 2013

Finite field transforms.

Gary McGuire

Proceedings of the Handbook of Finite Fields., 2013

2012

Binary Kloosterman Sums Modulo 256 and Coefficients of the Characteristic Polynomial.

Faruk Göloglu, Petr Lisonek, Gary McGuire, Richard Moloney

IEEE Trans. Inf. Theory, 2012

A construction of weakly and non-weakly regular bent functions.

Ayça Çesmelioglu, Gary McGuire, Wilfried Meidl

J. Comb. Theory, Ser. A, 2012

The number of rational points on hyperelliptic supersingular curves of genus 4 in characteristic 2.

Gary McGuire, Alexey Zaytsev

Finite Fields Their Appl., 2012

An alternative proof of a result on the weight divisibility of a cyclic code using supersingular curves.

Gary McGuire

Finite Fields Their Appl., 2012

Proof of a conjecture of Segre and Bartocci on monomial hyperovals in projective planes.

Fernando Hernando, Gary McGuire

Des. Codes Cryptogr., 2012

Preface: Richard M. Wilson, Special issue honoring his 65th birthday.

K. T. Arasu, Xiaoyu Liu, Gary McGuire

Des. Codes Cryptogr., 2012

There is no 16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem

Gary McGuire, Bastian Tugemann, Gilles Civario

CoRR, 2012

2011

On the equivalence of quadratic APN functions.

Carl Bracken, Eimear Byrne, Gary McGuire, Gabriele Nebe

Des. Codes Cryptogr., 2011

A few more quadratic APN functions.

Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire

Cryptogr. Commun., 2011

Two kinds of division polynomials for twisted Edwards curves.

Richard Moloney, Gary McGuire

Appl. Algebra Eng. Commun. Comput., 2011

2010

On the nonlinearity of exponential welch costas functions.

Konstantinos Drakakis, Verónica Requena, Gary McGuire

IEEE Trans. Inf. Theory, 2010

The weight distributions of cyclic codes with two zeros and zeta functions.

Nigel Boston, Gary McGuire

J. Symb. Comput., 2010

Ternary Kloosterman Sums Modulo 18 Using Stickelberger's Theorem.

Faruk Göloglu, Gary McGuire, Richard Moloney

Proceedings of the Sequences and Their Applications - SETA 2010, 2010

2009

S-Boxes, APN Functions and Related Codes.

Rafael Álvarez, Gary McGuire

Proceedings of the Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes, 2009

Fourier Spectra of Binomial APN Functions.

Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire

SIAM J. Discret. Math., 2009

Construction of bent functions from near-bent functions.

Gregor Leander, Gary McGuire

J. Comb. Theory, Ser. A, 2009

Elliptic Curves in Montgomery Form with B=1 and Their Low Order Torsion.

Richard Moloney, Gary McGuire, Michael Markowitz

IACR Cryptol. ePrint Arch., 2009

A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem.

Brian Baldwin, Richard Moloney, Andrew Byrne, Gary McGuire, William P. Marnane

IACR Cryptol. ePrint Arch., 2009

APN permutations on Z_n and Costas arrays.

Konstantinos Drakakis, Rod Gow, Gary McGuire

Discret. Appl. Math., 2009

Proof of a Conjecture on the Sequence of Exceptional Numbers, Classifying Cyclic Codes and APN Functions

Fernando Hernando, Gary McGuire

CoRR, 2009

2008

Construction of Multiblock Space-Time Codes From Division Algebras With Roots of Unity as Nonnorm Elements.

Jyrki T. Lahtonen, Nadya Markin, Gary McGuire

IEEE Trans. Inf. Theory, 2008

A CM construction for curves of genus 2 with p-rank 1.

Laura Hitt O'Connor, Gary McGuire, Michael Naehrig, Marco Streng

IACR Cryptol. ePrint Arch., 2008

Near bent functions on a hyperplane.

J. F. Dillon, Gary McGuire

Finite Fields Their Appl., 2008

New families of quadratic almost perfect nonlinear trinomials and multinomials.

Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire

Finite Fields Their Appl., 2008

2007

A Counterexample to a Conjecture of Niho.

Philippe Langevin, Gregor Leander, Gary McGuire

IEEE Trans. Inf. Theory, 2007

Quadratic Almost Perfect Nonlinear Functions With Many Terms.

Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire

IACR Cryptol. ePrint Arch., 2007

Duals of quasi-3 designs are not necessarily quasi-3.

Carl Bracken, Gary McGuire

Des. Codes Cryptogr., 2007

Gold and Kasami-Welch functions, quadratic forms, and bent functions.

Jyrki T. Lahtonen, Gary McGuire, Harold N. Ward

Adv. Math. Commun., 2007

On the Walsh Spectrum of a New APN Function.

Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire

Proceedings of the Cryptography and Coding, 2007

Spectra of Boolean Functions, Subspaces of Matrices, and Going Up Versus Going Down.

Gary McGuire

Proceedings of the Applied Algebra, 2007

Determining the Nonlinearity of a New Family of APN Functions.

Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire

Proceedings of the Applied Algebra, 2007

2006

New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices.

Carl Bracken, Gary McGuire, Harold N. Ward

Des. Codes Cryptogr., 2006

2005

On quasi-3 designs and spin models.

Carl Bracken, Gary McGuire

Discret. Math., 2005

Characterization of SDP Designs That Yield Certain Spin Models.

Carl Bracken, Gary McGuire

Des. Codes Cryptogr., 2005

2004

On three weights in cyclic codes with two zeros.

Gary McGuire

Finite Fields Their Appl., 2004

2003

On the non-existence of quasi-3 designs.

Wayne Broughton, Gary McGuire

Discret. Math., 2003

2001

On Certain 3-Weight Cyclic Codes Having Symmetric Weights and a Conjecture of Helleseth.

Gary McGuire

Proceedings of the Sequences and their Applications, 2001

1999

Some Observations on Quasi-3 Designs and Hadamard Matrices.

Wayne Broughton, Gary McGuire

Des. Codes Cryptogr., 1999

1998

Characterization of Certain Minimal Rank Designs.

Gary McGuire, Harold N. Ward

J. Comb. Theory, Ser. A, 1998

Characterizing the Hermitian and Ree Unitals on 28 Points.

Gary McGuire, Vladimir D. Tonchev, Harold N. Ward

Des. Codes Cryptogr., 1998

1997

Quasi-Symmetric Designs and Codes Meeting the Grey-Rankin Bound.

Gary McGuire

J. Comb. Theory, Ser. A, 1997

Construction of a (64, 2³⁷, 12) Code via Galois Rings.

A. Robert Calderbank, Gary McGuire

Des. Codes Cryptogr., 1997

1996

On a conjecture of Helleseth regarding pairs of binary m-sequences.

A. Robert Calderbank, Gary McGuire, Bjorn Poonen, Michael Rubinstein

IEEE Trans. Inf. Theory, 1996

Cyclic codes over Z₄, locator polynomials, and Newton's identities.

A. Robert Calderbank, Gary McGuire, P. Vijay Kumar, Tor Helleseth

IEEE Trans. Inf. Theory, 1996

1995

Proof of a conjecture of Sarwate and Pursley regarding pairs of binary m-sequences.

Gary McGuire, A. Robert Calderbank

IEEE Trans. Inf. Theory, 1995