On the weight hierarchy of Kerdock codes over Z/sub 4/

DOI10.1109/18.532905zbMath0859.94011OpenAlexW2138623837MaRDI QIDQ4896845

P. Vijay Kumar, Tor Helleseth, Kyeongcheol Yang, Abhijit G. Shanbhag

Publication date: 22 October 1996

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/18.532905

zbMATH Keywords

lower boundgeneralized Hamming weightLee weightKerdock code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Bounds on codes (94B65) Arithmetic codes (94B40)

Related Items (12)

A ring theoretic construction of Hadamard difference sets in \(\mathbb Z^n_8 \times \mathbb Z^n_2\) ⋮ Quaternary cryptographic bent functions and their binary projection ⋮ Three-class association schemes on Galois rings in characteristic 4 ⋮ Trace codes over \(\mathbb {Z}_4,\) and Boolean functions ⋮ On perfect nonlinear functions \((\Pi)\) ⋮ Complete weight enumerators of generalized Kerdock code and related linear codes over Galois ring ⋮ Two New Families of Low-Correlation Interleaved QAM Sequences ⋮ On the dual of quaternary Goethals codes and their weight hierarchies ⋮ New infinite families of 3-designs from Preparata codes over \(\mathbb{Z}_4\) ⋮ On linear codes over \(\mathbb Z_2\) ⋮ Two generalized constructions of relative difference sets ⋮ One weight \(\mathbb {Z}_2\mathbb {Z}_4\) additive codes

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