Gary McGuire

79 papers B 1C 4Journal 66Unranked 4
YearRankTypeTitle / Venue / Authors
2025 J jnl
Linearization of polynomials in prime characteristic, with applications to the Golay code and Steiner system.
Des. Codes Cryptogr.
Rod Gow, Gary McGuire
2025 J jnl
New Quantum MDS Codes with Flexible Parameters from Hermitian Self-Orthogonal GRS Codes.
CoRR
Oisin Campion, Fernando Hernando, Gary McGuire
2025 J jnl
New Quantum Stabilizer Codes from generalized Monomial-Cartesian Codes constructed using two different generalized Reed-Solomon codes.
CoRR
Oisin Campion, Fernando Hernando, Gary McGuire
2025 J jnl
New quantum MDS codes with flexible parameters from Hermitian self-orthogonal GRS codes.
Cryptogr. Commun.
Oisin Campion, Fernando Hernando, Gary McGuire
2024 J jnl
MDS, Hermitian almost MDS, and Gilbert-Varshamov quantum codes from generalized monomial-Cartesian codes.
Quantum Inf. Process.
Beatriz Barbero-Lucas, Fernando Hernando, Helena Martín-Cruz, Gary McGuire
2023 J jnl
MDS, Hermitian Almost MDS, and Gilbert-Varshamov Quantum Codes from Generalized Monomial-Cartesian Codes.
CoRR
Beatriz Barbero-Lucas, Fernando Hernando, Helena Martín-Cruz, Gary McGuire
2022 J jnl
Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields.
Finite Fields Their Appl.
Rod Gow, Gary McGuire
2021 J jnl
Decoding Algorithm for Quadruple-Error-Correcting Reed-Solomon Codes and Its Derived Architectures.
IEEE Trans. Circuits Syst. II Express Briefs
Francisco Garcia-Herrero, Gary McGuire, Mark F. Flanagan, Alfonso Sánchez-Macián, Juan Antonio Maestro
2021 J jnl
Lattice Sieving in Three Dimensions for Discrete Log in Medium Characteristic.
J. Math. Cryptol.
Gary McGuire, Oisín Robinson
2021 J jnl
On the termination of the general XL algorithm and ordinary multinomials.
J. Symb. Comput.
Gary McGuire, Daniela O'Hara
2020 C conf
Linearized Polynomials and Their Adjoints, and Some Connections to Linear Sets and Semifields.
WAIFI
Gary McGuire, John Sheekey
2020 J jnl
Quantum codes from a new construction of self-orthogonal algebraic geometry codes.
Quantum Inf. Process.
Fernando Hernando, Gary McGuire, Francisco Monserrat, Julio José Moyano-Fernández
2019 J jnl
A characterization of the number of roots of linearized and projective polynomials in the field of coefficients.
Finite Fields Their Appl.
Gary McGuire, John Sheekey
2019 J jnl
Quantum codes from a new construction of self-orthogonal algebraic geometry codes.
CoRR
Fernando Hernando, Gary McGuire, Francisco Monserrat, Julio José Moyano-Fernández
2018 J jnl
On the zeta functions of supersingular curves.
Finite Fields Their Appl.
Gary McGuire, Emrah Sercan Yilmaz
2017 J jnl
A few more index calculus algorithms for the ECDLP.
IACR Cryptol. ePrint Arch.
Gary McGuire, Daniela Müller
2016 J jnl
Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients.
Finite Fields Their Appl.
Omran Ahmadi, Faruk Göloglu, Robert Granger, Gary McGuire, Emrah Sercan Yilmaz
2016 J jnl
JKL-ECM: an implementation of ECM using Hessian curves.
LMS J. Comput. Math.
Henriette Heer, Gary McGuire, Oisín Robinson
2015 — ch.
Curves over finite fields and linear recurring sequences.
Surveys in Combinatorics
Omran Ahmadi, Gary McGuire
2015 J jnl
Further results on the number of rational points of hyperelliptic supersingular curves in characteristic 2.
Des. Codes Cryptogr.
Gary McGuire, Emrah Sercan Yilmaz
2014 J jnl
On theorems of Carlitz and Payne on permutation polynomials over finite fields with an application to x
Finite Fields Their Appl.
Faruk Göloglu, Gary McGuire
2014 J jnl
Supersingular curves over finite fields and weight divisibility of codes.
J. Comput. Appl. Math.
Cem Güneri, Gary McGuire
2014 J jnl
There Is No 16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem via Hitting Set Enumeration.
Exp. Math.
Gary McGuire, Bastian Tugemann, Gilles Civario
2013 — ch.
Finite field transforms.
Handbook of Finite Fields
Gary McGuire
2013 — ch.
On The Classification of Perfect Nonlinear (PN) and Almost Perfect Nonlinear (APN) Monomial Functions.
Finite Fields and Their Applications
Fernando Hernando, Gary McGuire
2013 J jnl
On the Classification of Exceptional Planar Functions over $\mathbb{F}_{p}$
CoRR
Fernando Hernando, Gary McGuire, Francisco Monserrat
2013 — conf
On the Function Field Sieve and the Impact of Higher Splitting Probabilities - Application to Discrete Logarithms in and.
CRYPTO (2)
Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel
2013 J jnl
On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in F
IACR Cryptol. ePrint Arch.
Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel
2013 B conf
Solving a 6120 -bit DLP on a Desktop Computer.
Selected Areas in Cryptography
Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel
2013 J jnl
Solving a 6120-bit DLP on a Desktop Computer.
IACR Cryptol. ePrint Arch.
Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel
2012 J jnl
A construction of weakly and non-weakly regular bent functions.
J. Comb. Theory A
Ayça Çesmelioglu, Gary McGuire, Wilfried Meidl
2012 J jnl
An alternative proof of a result on the weight divisibility of a cyclic code using supersingular curves.
Finite Fields Their Appl.
Gary McGuire
2012 J jnl
Binary Kloosterman Sums Modulo 256 and Coefficients of the Characteristic Polynomial.
IEEE Trans. Inf. Theory
Faruk Göloglu, Petr Lisonek, Gary McGuire, Richard Moloney
2012 J jnl
Preface: Richard M. Wilson, Special issue honoring his 65th birthday.
Des. Codes Cryptogr.
K. T. Arasu, Xiaoyu Liu, Gary McGuire
2012 J jnl
Proof of a conjecture of Segre and Bartocci on monomial hyperovals in projective planes.
Des. Codes Cryptogr.
Fernando Hernando, Gary McGuire
2012 J jnl
The number of rational points on hyperelliptic supersingular curves of genus 4 in characteristic 2.
Finite Fields Their Appl.
Gary McGuire, Alexey Zaytsev
2012 J jnl
There is no 16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem
CoRR
Gary McGuire, Bastian Tugemann, Gilles Civario
2011 J jnl
A few more quadratic APN functions.
Cryptogr. Commun.
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
2011 J jnl
On the equivalence of quadratic APN functions.
Des. Codes Cryptogr.
Carl Bracken, Eimear Byrne, Gary McGuire, Gabriele Nebe
2011 J jnl
Two kinds of division polynomials for twisted Edwards curves.
Appl. Algebra Eng. Commun. Comput.
Richard Moloney, Gary McGuire
2010 J jnl
A Construction of Weakly and Non-Weakly Regular Bent Functions
CoRR
Ayça Çesmelioglu, Gary McGuire, Wilfried Meidl
2010 J jnl
On the nonlinearity of exponential welch costas functions.
IEEE Trans. Inf. Theory
Konstantinos Drakakis, Verónica Requena, Gary McGuire
2010 C conf
Ternary Kloosterman Sums Modulo 18 Using Stickelberger's Theorem.
SETA
Faruk Göloglu, Gary McGuire, Richard Moloney
2010 J jnl
The weight distributions of cyclic codes with two zeros and zeta functions.
J. Symb. Comput.
Nigel Boston, Gary McGuire
2009 — conf
A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem.
ARC
Brian Baldwin, Richard Moloney, Andrew Byrne, Gary McGuire, William P. Marnane
2009 J jnl
A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem.
IACR Cryptol. ePrint Arch.
Brian Baldwin, Richard Moloney, Andrew Byrne, Gary McGuire, William P. Marnane
2009 J jnl
APN permutations on Z
Discret. Appl. Math.
Konstantinos Drakakis, Rod Gow, Gary McGuire
2009 J jnl
Construction of bent functions from near-bent functions.
J. Comb. Theory A
Gregor Leander, Gary McGuire
2009 J jnl
Elliptic Curves in Montgomery Form with B=1 and Their Low Order Torsion.
IACR Cryptol. ePrint Arch.
Richard Moloney, Gary McGuire, Michael Markowitz
2009 J jnl
Fourier Spectra of Binomial APN Functions.
SIAM J. Discret. Math.
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
2009 J jnl
Proof of a Conjecture on the Sequence of Exceptional Numbers, Classifying Cyclic Codes and APN Functions
CoRR
Fernando Hernando, Gary McGuire
2009 — ch.
S-Boxes, APN Functions and Related Codes.
Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes
Rafael Álvarez, Gary McGuire
2008 J jnl
A CM construction for curves of genus 2 with p-rank 1.
IACR Cryptol. ePrint Arch.
Laura Hitt O'Connor, Gary McGuire, Michael Naehrig, Marco Streng
2008 J jnl
A Few More Quadratic APN Functions
CoRR
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
2008 J jnl
Construction of Multiblock Space-Time Codes From Division Algebras With Roots of Unity as Nonnorm Elements.
IEEE Trans. Inf. Theory
Jyrki T. Lahtonen, Nadya Markin, Gary McGuire
2008 J jnl
Fourier Spectra of Binomial APN Functions
CoRR
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
2008 J jnl
Near bent functions on a hyperplane.
Finite Fields Their Appl.
J. F. Dillon, Gary McGuire
2008 J jnl
New families of quadratic almost perfect nonlinear trinomials and multinomials.
Finite Fields Their Appl.
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
2007 J jnl
A Counterexample to a Conjecture of Niho.
IEEE Trans. Inf. Theory
Philippe Langevin, Gregor Leander, Gary McGuire
2007 — conf
Determining the Nonlinearity of a New Family of APN Functions.
AAECC
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
2007 J jnl
Duals of quasi-3 designs are not necessarily quasi-3.
Des. Codes Cryptogr.
Carl Bracken, Gary McGuire
2007 J jnl
Gold and Kasami-Welch functions, quadratic forms, and bent functions.
Adv. Math. Commun.
Jyrki T. Lahtonen, Gary McGuire, Harold N. Ward
2007 C conf
On the Walsh Spectrum of a New APN Function.
IMACC
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
2007 J jnl
Quadratic Almost Perfect Nonlinear Functions With Many Terms.
IACR Cryptol. ePrint Arch.
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
2007 — conf
Spectra of Boolean Functions, Subspaces of Matrices, and Going Up Versus Going Down.
AAECC
Gary McGuire
2006 J jnl
New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices.
Des. Codes Cryptogr.
Carl Bracken, Gary McGuire, Harold N. Ward
2005 J jnl
Characterization of SDP Designs That Yield Certain Spin Models.
Des. Codes Cryptogr.
Carl Bracken, Gary McGuire
2005 J jnl
On quasi-3 designs and spin models.
Discret. Math.
Carl Bracken, Gary McGuire
2004 J jnl
On three weights in cyclic codes with two zeros.
Finite Fields Their Appl.
Gary McGuire
2003 J jnl
On the non-existence of quasi-3 designs.
Discret. Math.
Wayne Broughton, Gary McGuire
2001 C conf
On Certain 3-Weight Cyclic Codes Having Symmetric Weights and a Conjecture of Helleseth.
SETA
Gary McGuire
1999 J jnl
Some Observations on Quasi-3 Designs and Hadamard Matrices.
Des. Codes Cryptogr.
Wayne Broughton, Gary McGuire
1998 J jnl
Characterization of Certain Minimal Rank Designs.
J. Comb. Theory A
Gary McGuire, Harold N. Ward
1998 J jnl
Characterizing the Hermitian and Ree Unitals on 28 Points.
Des. Codes Cryptogr.
Gary McGuire, Vladimir D. Tonchev, Harold N. Ward
1997 J jnl
Construction of a (64, 2
Des. Codes Cryptogr.
A. Robert Calderbank, Gary McGuire
1997 J jnl
Quasi-Symmetric Designs and Codes Meeting the Grey-Rankin Bound.
J. Comb. Theory A
Gary McGuire
1996 J jnl
Cyclic codes over Z
IEEE Trans. Inf. Theory
A. Robert Calderbank, Gary McGuire, P. Vijay Kumar, Tor Helleseth
1996 J jnl
On a conjecture of Helleseth regarding pairs of binary m-sequences.
IEEE Trans. Inf. Theory
A. Robert Calderbank, Gary McGuire, Bjorn Poonen, Michael Rubinstein
1995 J jnl
Proof of a conjecture of Sarwate and Pursley regarding pairs of binary m-sequences.
IEEE Trans. Inf. Theory
Gary McGuire, A. Robert Calderbank