Some constacyclic codes over Z2k and binary quasi-cyclic codes
Discrete Applied Mathematics - Special issue: International workshop on coding and cryptography (WCC 2001)
Z8-Kerdock codes and pseudorandom binary sequences
Journal of Complexity - Special issue on coding and cryptography
Large families of quaternary sequences with low correlation
IEEE Transactions on Information Theory
Improved binary codes and sequence families from Z4-linear codes
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
An upper bound for Weil exponential sums over Galois rings and applications
IEEE Transactions on Information Theory
Galois rings and pseudo-random sequences
Cryptography and Coding'07 Proceedings of the 11th IMA international conference on Cryptography and coding
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Composing the Carlet map with the inverse Gray map, a new family of cyclic quaternary codes is constructed from 5-cyclic \mathbb{Z}_8-codes. This new family of codes is inspired by the quaternary Shanbag–Kumar–Helleseth family, a recent improvement on the Delsarte–Goethals family. We conjecture that these \mathbb{Z}_4-codes are not linear. As applications, we construct families of low-correlation quadriphase and biphase sequences.