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2020 – today
- 2024
[j47]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): 86 (2024)- 2023
- [i15]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 abs/2307.15488 (2023) - 2022
- [j46]Rod Gow, Gary McGuire:
Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields. Finite Fields Their Appl. 79: 101991 (2022) - 2021
- [j45]Gary McGuire, Oisín Robinson:
Lattice Sieving in Three Dimensions for Discrete Log in Medium Characteristic. J. Math. Cryptol. 15(1): 223-236 (2021) - [j44]Gary McGuire, Daniela O'Hara:
On the termination of the general XL algorithm and ordinary multinomials. J. Symb. Comput. 104: 90-104 (2021) - [j43]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): 1438-1442 (2021) - 2020
- [j42]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): 117 (2020) - [c9]Gary McGuire, John Sheekey:
Linearized Polynomials and Their Adjoints, and Some Connections to Linear Sets and Semifields. WAIFI 2020: 37-41
2010 – 2019
- 2019
- [j41]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: 68-91 (2019) - [i14]Fernando Hernando, Gary McGuire, Francisco Monserrat, Julio José Moyano-Fernández:
Quantum codes from a new construction of self-orthogonal algebraic geometry codes. CoRR abs/1907.05645 (2019) - 2018
- [j40]Gary McGuire, Emrah Sercan Yilmaz:
On the zeta functions of supersingular curves. Finite Fields Their Appl. 54: 65-79 (2018) - 2017
- [i13]Gary McGuire, Daniela Müller:
A few more index calculus algorithms for the ECDLP. IACR Cryptol. ePrint Arch. 2017: 1262 (2017) - 2016
- [j39]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: 128-164 (2016) - [j38]Henriette Heer, Gary McGuire, Oisín Robinson:
JKL-ECM: an implementation of ECM using Hessian curves. LMS J. Comput. Math. 19(A): 83-99 (2016) - 2015
- [j37]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): 653-662 (2015) - [p4]Omran Ahmadi, Gary McGuire:
Curves over finite fields and linear recurring sequences. Surveys in Combinatorics 2015: 195-220 - 2014
- [j36]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): 190-217 (2014) - [j35]Faruk Göloglu, Gary McGuire:
On theorems of Carlitz and Payne on permutation polynomials over finite fields with an application to x-1+L(x). Finite Fields Their Appl. 27: 130-142 (2014) - [j34]Cem Güneri, Gary McGuire:
Supersingular curves over finite fields and weight divisibility of codes. J. Comput. Appl. Math. 259: 474-484 (2014) - 2013
- [c8]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: 109-128 - [c7]Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel:
Solving a 6120 -bit DLP on a Desktop Computer. Selected Areas in Cryptography 2013: 136-152 - [p3]Gary McGuire:
Finite field transforms. Handbook of Finite Fields 2013: 303-310 - [p2]Fernando Hernando, Gary McGuire:
On The Classification of Perfect Nonlinear (PN) and Almost Perfect Nonlinear (APN) Monomial Functions. Finite Fields and Their Applications 2013: 145-168 - [i12]Fernando Hernando, Gary McGuire, Francisco Monserrat:
On the Classification of Exceptional Planar Functions over $\mathbb{F}_{p}$. CoRR abs/1301.4016 (2013) - [i11]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 F21971. IACR Cryptol. ePrint Arch. 2013: 74 (2013) - [i10]Faruk Göloglu, Robert Granger, Gary McGuire, Jens Zumbrägel:
Solving a 6120-bit DLP on a Desktop Computer. IACR Cryptol. ePrint Arch. 2013: 306 (2013) - 2012
- [j33]K. T. Arasu, Xiaoyu Liu, Gary McGuire:
Preface: Richard M. Wilson, Special issue honoring his 65th birthday. Des. Codes Cryptogr. 65(3): 163-164 (2012) - [j32]Fernando Hernando, Gary McGuire:
Proof of a conjecture of Segre and Bartocci on monomial hyperovals in projective planes. Des. Codes Cryptogr. 65(3): 275-289 (2012) - [j31]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): 434-436 (2012) - [j30]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): 886-893 (2012) - [j29]Ayça Çesmelioglu, Gary McGuire, Wilfried Meidl:
A construction of weakly and non-weakly regular bent functions. J. Comb. Theory A 119(2): 420-429 (2012) - [j28]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): 2516-2523 (2012) - [i9]Gary McGuire, Bastian Tugemann, Gilles Civario:
There is no 16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem. CoRR abs/1201.0749 (2012) - 2011
- [j27]Richard Moloney, Gary McGuire:
Two kinds of division polynomials for twisted Edwards curves. Appl. Algebra Eng. Commun. Comput. 22(5-6): 321-345 (2011) - [j26]Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire:
A few more quadratic APN functions. Cryptogr. Commun. 3(1): 43-53 (2011) - [j25]Carl Bracken, Eimear Byrne, Gary McGuire, Gabriele Nebe:
On the equivalence of quadratic APN functions. Des. Codes Cryptogr. 61(3): 261-272 (2011) - 2010
- [j24]Nigel Boston, Gary McGuire:
The weight distributions of cyclic codes with two zeros and zeta functions. J. Symb. Comput. 45(7): 723-733 (2010) - [j23]Konstantinos Drakakis, Verónica Requena, Gary McGuire:
On the nonlinearity of exponential welch costas functions. IEEE Trans. Inf. Theory 56(3): 1230-1238 (2010) - [c6]Faruk Göloglu, Gary McGuire, Richard Moloney:
Ternary Kloosterman Sums Modulo 18 Using Stickelberger's Theorem. SETA 2010: 196-203 - [i8]Ayça Çesmelioglu, Gary McGuire, Wilfried Meidl:
A Construction of Weakly and Non-Weakly Regular Bent Functions. CoRR abs/1011.6242 (2010)
2000 – 2009
- 2009
- [j22]Konstantinos Drakakis, Rod Gow, Gary McGuire:
APN permutations on Zn and Costas arrays. Discret. Appl. Math. 157(15): 3320-3326 (2009) - [j21]Gregor Leander, Gary McGuire:
Construction of bent functions from near-bent functions. J. Comb. Theory A 116(4): 960-970 (2009) - [j20]Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire:
Fourier Spectra of Binomial APN Functions. SIAM J. Discret. Math. 23(2): 596-608 (2009) - [c5]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: 355-361 - [p1]Rafael Álvarez, Gary McGuire:
S-Boxes, APN Functions and Related Codes. Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes 2009: 49-62 - [i7]Fernando Hernando, Gary McGuire:
Proof of a Conjecture on the Sequence of Exceptional Numbers, Classifying Cyclic Codes and APN Functions. CoRR abs/0903.2016 (2009) - [i6]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: 1 (2009) - [i5]Richard Moloney, Gary McGuire, Michael Markowitz:
Elliptic Curves in Montgomery Form with B=1 and Their Low Order Torsion. IACR Cryptol. ePrint Arch. 2009: 213 (2009) - 2008
- [j19]Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire:
New families of quadratic almost perfect nonlinear trinomials and multinomials. Finite Fields Their Appl. 14(3): 703-714 (2008) - [j18]J. F. Dillon, Gary McGuire:
Near bent functions on a hyperplane. Finite Fields Their Appl. 14(3): 715-720 (2008) - [j17]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): 5231-5235 (2008) - [i4]Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire:
Fourier Spectra of Binomial APN Functions. CoRR abs/0803.3781 (2008) - [i3]Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire:
A Few More Quadratic APN Functions. CoRR abs/0804.4799 (2008) - [i2]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: 491 (2008) - 2007
- [j16]Jyrki T. Lahtonen, Gary McGuire, Harold N. Ward:
Gold and Kasami-Welch functions, quadratic forms, and bent functions. Adv. Math. Commun. 1(2): 243-250 (2007) - [j15]Carl Bracken, Gary McGuire:
Duals of quasi-3 designs are not necessarily quasi-3. Des. Codes Cryptogr. 44(1-3): 157-167 (2007) - [j14]Philippe Langevin, Gregor Leander, Gary McGuire:
A Counterexample to a Conjecture of Niho. IEEE Trans. Inf. Theory 53(12): 4785-4786 (2007) - [c4]Gary McGuire:
Spectra of Boolean Functions, Subspaces of Matrices, and Going Up Versus Going Down. AAECC 2007: 28-37 - [c3]Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire:
Determining the Nonlinearity of a New Family of APN Functions. AAECC 2007: 72-79 - [c2]Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire:
On the Walsh Spectrum of a New APN Function. IMACC 2007: 92-98 - [i1]Carl Bracken, Eimear Byrne, Nadya Markin, Gary McGuire:
Quadratic Almost Perfect Nonlinear Functions With Many Terms. IACR Cryptol. ePrint Arch. 2007: 115 (2007) - 2006
- [j13]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): 195-198 (2006) - 2005
- [j12]Carl Bracken, Gary McGuire:
Characterization of SDP Designs That Yield Certain Spin Models. Des. Codes Cryptogr. 36(1): 45-52 (2005) - [j11]Carl Bracken, Gary McGuire:
On quasi-3 designs and spin models. Discret. Math. 294(1-2): 21-24 (2005) - 2004
- [j10]Gary McGuire:
On three weights in cyclic codes with two zeros. Finite Fields Their Appl. 10(1): 97-104 (2004) - 2003
- [j9]Wayne Broughton, Gary McGuire:
On the non-existence of quasi-3 designs. Discret. Math. 262(1-3): 79-87 (2003) - 2001
- [c1]Gary McGuire:
On Certain 3-Weight Cyclic Codes Having Symmetric Weights and a Conjecture of Helleseth. SETA 2001: 281-295
1990 – 1999
- 1999
- [j8]Wayne Broughton, Gary McGuire:
Some Observations on Quasi-3 Designs and Hadamard Matrices. Des. Codes Cryptogr. 18(1/3): 55-61 (1999) - 1998
- [j7]Gary McGuire, Vladimir D. Tonchev, Harold N. Ward:
Characterizing the Hermitian and Ree Unitals on 28 Points. Des. Codes Cryptogr. 13(1): 57-61 (1998) - [j6]Gary McGuire, Harold N. Ward:
Characterization of Certain Minimal Rank Designs. J. Comb. Theory A 83(1): 42-56 (1998) - 1997
- [j5]A. Robert Calderbank, Gary McGuire:
Construction of a (64, 237, 12) Code via Galois Rings. Des. Codes Cryptogr. 10(2): 157-165 (1997) - [j4]Gary McGuire:
Quasi-Symmetric Designs and Codes Meeting the Grey-Rankin Bound. J. Comb. Theory A 78(2): 280-291 (1997) - 1996
- [j3]A. Robert Calderbank, Gary McGuire, P. Vijay Kumar, Tor Helleseth:
Cyclic codes over Z4, locator polynomials, and Newton's identities. IEEE Trans. Inf. Theory 42(1): 217-226 (1996) - [j2]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): 988-990 (1996) - 1995
- [j1]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): 1153-1155 (1995)
Coauthor Index
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last updated on 2024-10-07 21:24 CEST by the dblp team
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