Gary McGuire
Gary McGuire
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There is no 16-clue Sudoku: Solving the Sudoku minimum number of clues problem via hitting set enumeration
G McGuire, B Tugemann, G Civario
Experimental Mathematics 23 (2), 190-217, 2014
New families of quadratic almost perfect nonlinear trinomials and multinomials
C Bracken, E Byrne, N Markin, G McGuire
Finite Fields and Their Applications 14 (3), 703-714, 2008
On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in and
F Göloğlu, R Granger, G McGuire, J Zumbrägel
Annual Cryptology Conference, 109-128, 2013
A few more quadratic APN functions
C Bracken, E Byrne, N Markin, G McGuire
Cryptography and Communications 3 (1), 43-53, 2011
Double-error-correcting cyclic codes and absolutely irreducible polynomials over GF (2)
H Janwa, G Mcguire, RM Wilson
Journal of Algebra 178 (2), 665-676, 1995
Construction of bent functions from near-bent functions
G Leander, G McGuire
Journal of Combinatorial Theory, Series A 116 (4), 960-970, 2009
Proof of a conjecture on the sequence of exceptional numbers, classifying cyclic codes and APN functions
F Hernando, G McGuire
Journal of algebra 343 (1), 78-92, 2011
Recurrence matrices and the preservation of dynamical properties
G McGuire, NB Azar, M Shelhamer
Physics Letters A 237 (1-2), 43-47, 1997
Cyclic codes over Z/sub 4/, locator polynomials, and Newton's identities
AR Calderbank, G McGuire, VP Kumar, T Helleseth
IEEE Transactions on Information Theory 42 (1), 217-226, 1996
A construction of weakly and non-weakly regular bent functions
A Çeşmelioğlu, G McGuire, W Meidl
Journal of Combinatorial Theory, Series A 119 (2), 420-429, 2012
Solving a-bit DLP on a Desktop Computer
F Göloğlu, R Granger, G McGuire, J Zumbrägel
International Conference on Selected Areas in Cryptography, 136-152, 2013
A few more functions that are not APN infinitely often
Y Aubry, G McGuire, F Rodier
Finite fields: theory and applications 518, 23-31, 2010
Gold and Kasami-Welch functions, quadratic forms, and bent functions
J Lahtonen, G McGuire, HN Ward
Advances in Mathematics of Communications 1 (2), 243-250, 2007
Determining the nonlinearity of a new family of APN functions
C Bracken, E Byrne, N Markin, G McGuire
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 17th …, 2007
On three weights in cyclic codes with two zeros
G McGuire
Finite Fields and Their Applications 10 (1), 97-104, 2004
Quasi-symmetric designs and codes meeting the Grey–Rankin bound
G McGuire
journal of combinatorial theory, Series A 78 (2), 280-291, 1997
APN permutations on Zn and Costas arrays
K Drakakis, R Gow, G McGuire
Discrete Applied Mathematics 157 (15), 3320-3326, 2009
Construction of a (64, 2 37, 12) code via Galois rings
AR Calderbank, G McGuire
Designs, Codes and Cryptography 10 (2), 157-165, 1997
A hardware analysis of twisted Edwards curves for an elliptic curve cryptosystem
B Baldwin, R Moloney, A Byrne, G McGuire, WP Marnane
International Workshop on Applied Reconfigurable Computing, 355-361, 2009
A characterization of the number of roots of linearized and projective polynomials in the field of coefficients
G McGuire, J Sheekey
Finite Fields and Their Applications 57, 68-91, 2019
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