Gary McGuire

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 14

Top Topics

Multidimensional Scaling

Algebraic Geometry

Error Correction

Top Venues

Finite Fields Their Appl.

Quantum Inf. Process.

LMS J. Comput. Math.

Publications

Beatriz Barbero-Lucas, Fernando Hernando, Helena Martín-Cruz, Gary McGuire
MDS, Hermitian almost MDS, and Gilbert-Varshamov quantum codes from generalized monomial-Cartesian codes. Quantum Inf. Process. 23 (3) (2024)
Beatriz Barbero-Lucas, Fernando Hernando, Helena Martín-Cruz, Gary McGuire
MDS, Hermitian Almost MDS, and Gilbert-Varshamov Quantum Codes from Generalized Monomial-Cartesian Codes. CoRR (2023)
Rod Gow, Gary McGuire
Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields. Finite Fields Their Appl. 79 (2022)
Gary McGuire, Oisín Robinson
Lattice Sieving in Three Dimensions for Discrete Log in Medium Characteristic. J. Math. Cryptol. 15 (1) (2021)
Gary McGuire, Daniela O'Hara
On the termination of the general XL algorithm and ordinary multinomials. J. Symb. Comput. 104 (2021)
Francisco Garcia-Herrero, Gary McGuire, Mark F. Flanagan, Alfonso Sánchez-Macián, Juan Antonio Maestro
Decoding Algorithm for Quadruple-Error-Correcting Reed-Solomon Codes and Its Derived Architectures. IEEE Trans. Circuits Syst. II Express Briefs 68 (4) (2021)
Fernando Hernando, Gary McGuire, Francisco Monserrat, Julio José Moyano-Fernández
Quantum codes from a new construction of self-orthogonal algebraic geometry codes. Quantum Inf. Process. 19 (4) (2020)
Gary McGuire, John Sheekey
Linearized Polynomials and Their Adjoints, and Some Connections to Linear Sets and Semifields. WAIFI (2020)
Gary McGuire, John Sheekey
A characterization of the number of roots of linearized and projective polynomials in the field of coefficients. Finite Fields Their Appl. 57 (2019)
Fernando Hernando, Gary McGuire, Francisco Monserrat, Julio José Moyano-Fernández
Quantum codes from a new construction of self-orthogonal algebraic geometry codes. CoRR (2019)
Gary McGuire, Emrah Sercan Yilmaz
On the zeta functions of supersingular curves. Finite Fields Their Appl. 54 (2018)
Gary McGuire, Daniela Müller
A few more index calculus algorithms for the ECDLP. IACR Cryptol. ePrint Arch. 2017 (2017)
Omran Ahmadi, Faruk Göloglu, Robert Granger, Gary McGuire, Emrah Sercan Yilmaz
Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients. Finite Fields Their Appl. 42 (2016)
Henriette Heer, Gary McGuire, Oisín Robinson
JKL-ECM: an implementation of ECM using Hessian curves. LMS J. Comput. Math. 19 (A) (2016)
Gary McGuire, Emrah Sercan Yilmaz
Further results on the number of rational points of hyperelliptic supersingular curves in characteristic 2. Des. Codes Cryptogr. 77 (2-3) (2015)
Cem Güneri, Gary McGuire
Supersingular curves over finite fields and weight divisibility of codes. J. Comput. Appl. Math. 259 (2014)
Gary McGuire, Bastian Tugemann, Gilles Civario
There Is No 16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem via Hitting Set Enumeration. Exp. Math. 23 (2) (2014)
Faruk Göloglu, Gary McGuire
+L(x). Finite Fields Their Appl. 27 (2014)
Fernando Hernando, Gary McGuire, Francisco Monserrat
On the Classification of Exceptional Planar Functions over $\mathbb{F}_{p}$ CoRR (2013)
Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel
Solving a 6120-bit DLP on a Desktop Computer. IACR Cryptol. ePrint Arch. 2013 (2013)
Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel
On the Function Field Sieve and the Impact of Higher Splitting Probabilities - Application to Discrete Logarithms in and. CRYPTO (2) (2013)
Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel
. IACR Cryptol. ePrint Arch. 2013 (2013)
Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel
Solving a 6120 -bit DLP on a Desktop Computer. Selected Areas in Cryptography (2013)
Faruk Göloglu, Petr Lisonek, Gary McGuire, Richard Moloney
Binary Kloosterman Sums Modulo 256 and Coefficients of the Characteristic Polynomial. IEEE Trans. Inf. Theory 58 (4) (2012)
Gary McGuire, Alexey Zaytsev
The number of rational points on hyperelliptic supersingular curves of genus 4 in characteristic 2. Finite Fields Their Appl. 18 (5) (2012)
Gary McGuire, Bastian Tugemann, Gilles Civario
There is no 16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem CoRR (2012)
Fernando Hernando, Gary McGuire
Proof of a conjecture of Segre and Bartocci on monomial hyperovals in projective planes. Des. Codes Cryptogr. 65 (3) (2012)
Ayça Çesmelioglu, Gary McGuire, Wilfried Meidl
A construction of weakly and non-weakly regular bent functions. J. Comb. Theory, Ser. A 119 (2) (2012)
K. T. Arasu, Xiaoyu Liu, Gary McGuire
Preface: Richard M. Wilson, Special issue honoring his 65th birthday. Des. Codes Cryptogr. 65 (3) (2012)
Gary McGuire
An alternative proof of a result on the weight divisibility of a cyclic code using supersingular curves. Finite Fields Their Appl. 18 (2) (2012)
Richard Moloney, Gary McGuire
Two kinds of division polynomials for twisted Edwards curves. Appl. Algebra Eng. Commun. Comput. 22 (5-6) (2011)
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
A few more quadratic APN functions. Cryptogr. Commun. 3 (1) (2011)
Carl Bracken, Eimear Byrne, Gary McGuire, Gabriele Nebe
On the equivalence of quadratic APN functions. Des. Codes Cryptogr. 61 (3) (2011)
Nigel Boston, Gary McGuire
The weight distributions of cyclic codes with two zeros and zeta functions. J. Symb. Comput. 45 (7) (2010)
Faruk Göloglu, Gary McGuire, Richard Moloney
Ternary Kloosterman Sums Modulo 18 Using Stickelberger's Theorem. SETA (2010)
Ayça Çesmelioglu, Gary McGuire, Wilfried Meidl
A Construction of Weakly and Non-Weakly Regular Bent Functions CoRR (2010)
Konstantinos Drakakis, Verónica Requena, Gary McGuire
On the nonlinearity of exponential welch costas functions. IEEE Trans. Inf. Theory 56 (3) (2010)
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
Fourier Spectra of Binomial APN Functions. SIAM J. Discret. Math. 23 (2) (2009)
Brian Baldwin, Richard Moloney, Andrew Byrne, Gary McGuire, William P. Marnane
A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem. ARC (2009)
Gregor Leander, Gary McGuire
Construction of bent functions from near-bent functions. J. Comb. Theory, Ser. A 116 (4) (2009)
Fernando Hernando, Gary McGuire
Proof of a Conjecture on the Sequence of Exceptional Numbers, Classifying Cyclic Codes and APN Functions CoRR (2009)
Richard Moloney, Gary McGuire, Michael Markowitz
Elliptic Curves in Montgomery Form with B=1 and Their Low Order Torsion. IACR Cryptol. ePrint Arch. 2009 (2009)
Konstantinos Drakakis, Rod Gow, Gary McGuire
and Costas arrays. Discret. Appl. Math. 157 (15) (2009)
Brian Baldwin, Richard Moloney, Andrew Byrne, Gary McGuire, William P. Marnane
A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem. IACR Cryptol. ePrint Arch. 2009 (2009)
Jyrki T. Lahtonen, Nadya Markin, Gary McGuire
Construction of Multiblock Space-Time Codes From Division Algebras With Roots of Unity as Nonnorm Elements. IEEE Trans. Inf. Theory 54 (11) (2008)
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
Fourier Spectra of Binomial APN Functions CoRR (2008)
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
A Few More Quadratic APN Functions CoRR (2008)
Laura Hitt O'Connor, Gary McGuire, Michael Naehrig, Marco Streng
A CM construction for curves of genus 2 with p-rank 1. IACR Cryptol. ePrint Arch. 2008 (2008)
J. F. Dillon, Gary McGuire
Near bent functions on a hyperplane. Finite Fields Their Appl. 14 (3) (2008)
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
New families of quadratic almost perfect nonlinear trinomials and multinomials. Finite Fields Their Appl. 14 (3) (2008)
Philippe Langevin, Gregor Leander, Gary McGuire
A Counterexample to a Conjecture of Niho. IEEE Trans. Inf. Theory 53 (12) (2007)
Gary McGuire
Spectra of Boolean Functions, Subspaces of Matrices, and Going Up Versus Going Down. AAECC (2007)
Carl Bracken, Gary McGuire
Duals of quasi-3 designs are not necessarily quasi-3. Des. Codes Cryptogr. 44 (1-3) (2007)
Jyrki T. Lahtonen, Gary McGuire, Harold N. Ward
Gold and Kasami-Welch functions, quadratic forms, and bent functions. Adv. Math. Commun. 1 (2) (2007)
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
Determining the Nonlinearity of a New Family of APN Functions. AAECC (2007)
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
Quadratic Almost Perfect Nonlinear Functions With Many Terms. IACR Cryptol. ePrint Arch. 2007 (2007)
Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire
On the Walsh Spectrum of a New APN Function. IMACC (2007)
Carl Bracken, Gary McGuire, Harold N. Ward
New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices. Des. Codes Cryptogr. 41 (2) (2006)
Carl Bracken, Gary McGuire
Characterization of SDP Designs That Yield Certain Spin Models. Des. Codes Cryptogr. 36 (1) (2005)
Carl Bracken, Gary McGuire
On quasi-3 designs and spin models. Discret. Math. 294 (1-2) (2005)
Gary McGuire
On three weights in cyclic codes with two zeros. Finite Fields Their Appl. 10 (1) (2004)
Wayne Broughton, Gary McGuire
On the non-existence of quasi-3 designs. Discret. Math. 262 (1-3) (2003)
Gary McGuire
On Certain 3-Weight Cyclic Codes Having Symmetric Weights and a Conjecture of Helleseth. SETA (2001)
Wayne Broughton, Gary McGuire
Some Observations on Quasi-3 Designs and Hadamard Matrices. Des. Codes Cryptogr. 18 (1/3) (1999)
Gary McGuire, Harold N. Ward
Characterization of Certain Minimal Rank Designs. J. Comb. Theory, Ser. A 83 (1) (1998)
Gary McGuire, Vladimir D. Tonchev, Harold N. Ward
Characterizing the Hermitian and Ree Unitals on 28 Points. Des. Codes Cryptogr. 13 (1) (1998)
Gary McGuire
Quasi-Symmetric Designs and Codes Meeting the Grey-Rankin Bound. J. Comb. Theory, Ser. A 78 (2) (1997)
A. Robert Calderbank, Gary McGuire
, 12) Code via Galois Rings. Des. Codes Cryptogr. 10 (2) (1997)
A. Robert Calderbank, Gary McGuire, Bjorn Poonen, Michael Rubinstein
On a conjecture of Helleseth regarding pairs of binary m-sequences. IEEE Trans. Inf. Theory 42 (3) (1996)
A. Robert Calderbank, Gary McGuire, P. Vijay Kumar, Tor Helleseth
, locator polynomials, and Newton's identities. IEEE Trans. Inf. Theory 42 (1) (1996)
Gary McGuire, A. Robert Calderbank
Proof of a conjecture of Sarwate and Pursley regarding pairs of binary m-sequences. IEEE Trans. Inf. Theory 41 (4) (1995)