Carl Bracken

Most-cited papers

New families of quadratic almost perfect nonlinear trinomials and multinomials
Carl Bracken, Eimear Byrne, N. Markin, Gary McGuire
2008Finite Fields Their Appl.123 citations Open access
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A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree
Carl Bracken, G. Leander
2009Finite Fields Their Appl.118 citations Open access
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A few more quadratic APN functions
Carl Bracken, Eimear Byrne, N. Markin, Gary McGuire
2008Cryptography and Communications85 citations Open access
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Binomial differentially 4 uniform permutations with high nonlinearity
Carl Bracken, C. Tan, Yin Tan
2012Finite Fields Their Appl.82 citations Open access
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Determining the Nonlinearity of a New Family of APN Functions
Carl Bracken, Eimear Byrne, N. Markin, Gary McGuire
2007International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes36 citations
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Triple-error-correcting BCH-like codes
Carl Bracken, T. Helleseth
20092009 IEEE International Symposium on Information Theory31 citations Open access
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On a class of quadratic polynomials with no zeros and its application to APN functions
Carl Bracken, C. Tan, Tan Yin
2011Finite Fields Their Appl.30 citations Open access
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On the equivalence of quadratic APN functions
Carl Bracken, Eimear Byrne, Gary McGuire, G. Nebe
2011Des. Codes Cryptogr.22 citations
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New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices
Carl Bracken, Gary McGuire, H. Ward
2006Des. Codes Cryptogr.20 citations
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Fourier Spectra of Binomial APN Functions
Carl Bracken, Eimear Byrne, N. Markin, Gary McGuire
2008SIAM Journal on Discrete Mathematics15 citations Open access
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On the Walsh Spectrum of a New APN Function
Carl Bracken, Eimear Byrne, N. Markin, Gary McGuire
2007IMA Conference on Cryptography and Coding13 citations
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On the Fourier spectra of the infinite families of quadratic APN functions
Carl Bracken, Zhengbang Zha
2008Advances in Mathematics of Communications9 citations Open access
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An Infinite Family of Quadratic Quadrinomial APN Functions
Carl Bracken, Eimear Byrne, N. Markin, Gary McGuire
20077 citations
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Pseudo quasi‐3 designs and their applications to coding theory
Carl Bracken
2008arXiv.org6 citations Open access
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New Families of Triple Error Correcting Codes with BCH Parameters
Carl Bracken
2008arXiv.org4 citations
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Duals of quasi-3 designs are not necessarily quasi-3
Carl Bracken, Gary McGuire
2007Des. Codes Cryptogr.4 citations
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New classes of self-complementary codes and quasi-symmetric designs
Carl Bracken
2006Des. Codes Cryptogr.4 citations
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Optimal family of q-ary codes obtained from a substructure of generalised Hadamard matrices
Carl Bracken, Y. Chee, Punarbasu Purkayastha
2012IEEE International Symposium on Information Theory. Proceedings3 citations
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Characterization of SDP Designs That Yield Certain Spin Models
Carl Bracken, Gary McGuire
2002Des. Codes Cryptogr.3 citations Open access
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Quadratic Almost Perfect Nonlinear Functions With Many Terms
Carl Bracken, Eimear Byrne, N. Markin, Gary McGuire
2007IACR Cryptology ePrint Archive2 citations
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Tiling the Musical Canon with Augmentations of the Ashanti Rhythmic Pattern
Carl Bracken, Gary Fitzpatrick, N. Markin
20091 citations
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Counting the Number of Site Swap Juggling Patterns with Respect to Particular Ceilings
Carl Bracken
20081 citations
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On quasi-3 designs and spin models
Carl Bracken, Gary McGuire
2005Discrete Mathematics1 citations Open access
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A non-cyclic triple-error-correcting BCH-like code and some minimum distance results
Carl Bracken, Faruk Gologlu
2014Des. Codes Cryptogr.0 citations
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Multimode horn antennas for far-infrared astronomy
J. Murphy, Carl Bracken, S. Doherty, I. McAuley +17 more
2014European Conference on Antennas and Propagation0 citations Open access
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A non-cyclic triple-error-correcting BCH-like code and some minimum distance results
Carl Bracken, Faruk Gologlu
2012Designs, Codes and Cryptography0 citations
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Finite Fields and Their Applications
Carl Bracken, Ying-Shan Tan
20120 citations
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