Construction of extremal type II \(\mathbb{Z}_{2 k}\)-codes
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Publication:2689357
DOI10.1016/j.ffa.2022.102154OpenAlexW4320479523MaRDI QIDQ2689357
Publication date: 10 March 2023
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.01439
Uses Software
Cites Work
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- Note on the residue codes of self-dual \(\mathbb{Z}_4\)-codes having large minimum Lee weights
- An upper bound on the minimum weight of type II \(\mathbb Z_{2k}\)-codes
- Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices
- Self-orthogonal designs and extremal doubly even codes
- The binary self-dual codes of length up to 32: A revised enumeration
- Construction of extremal Type II codes over \(\mathbb{Z}_4\).
- Self-dual codes over rings and the Chinese remainder theorem
- Type II self-dual codes over finite rings and even unimodular lattices
- The Magma algebra system. I: The user language
- New extremal type II codes over \(\mathbb{Z}_4\)
- On the existence of extremal Type II codes over \(\mathbb{Z}_6\)
- Orthogonal designs and Type II codes over \(\mathbb Z_{2k}\)
- \(\mathbb Z_{6}\)-code constructions of the Leech lattice and the Niemeier lattices.
- New extremal doubly-even [64,32,12 codes]
- Extremal type II \(\mathbb Z_4\)-codes of lengths 56 and 64
- Extremal ternary self-dual codes constructed from negacirculant matrices
- Extremal self-dual codes over \(\mathbb Z_6\), \(\mathbb Z_8\) and \(\mathbb Z_{10}\)
- Double circulant constructions of the Leech lattice
- Type II codes over Z/sub 4/
- Type II codes, even unimodular lattices, and invariant rings
- An upper bound for self-dual codes
- On the classification and enumeration of self-dual codes
- Orthogonal frames in the Leech lattice and a type II code over \(\mathbb{Z}_{22}\)
- Construction for both self-dual codes and LCD codes
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