Construction of extremal self-dual codes over \(\mathbb Z_8\) and \(\mathbb Z_{16}\)
From MaRDI portal
Publication:306336
DOI10.1007/S10623-015-0137-8zbMath1405.94108OpenAlexW2198021598MaRDI QIDQ306336
Publication date: 31 August 2016
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-015-0137-8
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)
Related Items (3)
Classification of self-dual cyclic codes over the chain ring \(\mathbb Z_p[u/\langle u^3 \rangle \)] ⋮ Infinite families of MDR cyclic codes over \(\mathbb{Z}_4\) via constacyclic codes over \(\mathbb{Z}_4 [u \slash \langle u^2 - 1 \rangle \)] ⋮ Constructing Self-dual cyclic codes over \({\mathbb{Z}}_{9}\) of length \(3n\)
Cites Work
- Unnamed Item
- Unnamed Item
- An upper bound on the minimum weight of type II \(\mathbb Z_{2k}\)-codes
- Constructions of self-dual codes over finite commutative chain rings
- On the residue codes of extremal Type II \(\mathbb Z_4\)-codes of lengths 32 and 40
- Codes over \(\mathbb{Z}_{2^k}\), Gray map and self-dual codes
- MDS and self-dual codes over rings
- Construction of MDS self-dual codes over Galois rings
- Self-dual codes over the integers modulo 4
- Type II self-dual codes over finite rings and even unimodular lattices
- Euclidean and Hermitian self-dual MDS codes over large finite fields.
- Extremal type II \(\mathbb Z_4\)-codes of lengths 56 and 64
- Self-dual codes over \(\mathbb{Z}_8\) and \(\mathbb{Z}_9\)
- On Self-dual Codes over Z 16
- Shadow bounds for self-dual codes
- On the Hamming distance of linear codes over a finite chain ring
- Type II codes, even unimodular lattices, and invariant rings
- On the classification and enumeration of self-dual codes
This page was built for publication: Construction of extremal self-dual codes over \(\mathbb Z_8\) and \(\mathbb Z_{16}\)
