An expansion for the coordinates of the trace function over Galois rings

DOI10.1007/s002000050072zbMath0880.11070OpenAlexW2065826953MaRDI QIDQ1360982

P. Vijay Kumar, Tor Helleseth

Publication date: 11 January 1998

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002000050072

zbMATH Keywords

Galois ringslinear complexitytrace functionlinear spancoordinate sequences

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (5)

Trace codes over \(\mathbb {Z}_4,\) and Boolean functions ⋮ Expansion and linear complexity of the coordinate sequences over Galois rings ⋮ Параметры булевых функций, построенных с использованием старших координатных последовательностей линейных рекуррент ⋮ \(\mathbb Z_{8}\)-Kerdock codes and pseudorandom binary sequences ⋮ Binary sequences of period \(2^m-1\) with large linear complexity

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