Construction of extremal \(\mathbb{Z}_4\)-codes using a neighborhood search algorithm
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Publication:6646789
DOI10.3934/AMC.2023039MaRDI QIDQ6646789
Sanja Rukavina, Matteo Mravić, Dean Crnković
Publication date: 3 December 2024
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
self-dual codeEuclidean weight\( \mathbb{Z}_4\)-codeextremal \(\mathbb{Z}_4\)-codetype II \(\mathbb{Z}_4\)-code
Cites Work
- Title not available (Why is that?)
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- Note on the residue codes of self-dual \(\mathbb{Z}_4\)-codes having large minimum Lee weights
- A complete classification of doubly even self-dual codes of length 40
- On the residue codes of extremal Type II \(\mathbb Z_4\)-codes of lengths 32 and 40
- Self-dual codes over the integers modulo 4
- Cyclic self-dual \(\mathbb Z_4\)-codes.
- Construction of extremal Type II codes over \(\mathbb{Z}_4\).
- All \(\mathbb{Z}_ 4\) codes of type II and length 16 are known
- The Magma algebra system. I: The user language
- On some self-dual codes and unimodular lattices in dimension 48
- Some extremal self-dual codes and unimodular lattices in dimension 40
- Extremal type II \(\mathbb Z_4\)-codes of lengths 56 and 64
- Extremal type II \(\mathbb{Z}_4\)-codes constructed from binary doubly even self-dual codes of length 40
- Classification of self-dual codes of length 20 over \(\mathbb{Z}_4\) and length at most 18 over \(\mathbb{F}_2+u\mathbb{F}_2\)
- Construction of extremal type II \(\mathbb{Z}_{2 k}\)-codes
- Extremal Type I <inline-formula> <tex-math notation="LaTeX">$ \mathbb {Z}_{k}$ </tex-math></inline-formula>-Codes and <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Frames of Odd Unimodular Lattices
- On the Classification of Self-dual -Codes
- Type II codes over Z/sub 4/
- All self-dual Z/sub 4/ codes of length 15 or less are known
- Fundamentals of Error-Correcting Codes
- Mass formulas for self-dual codes over Z/sub 4/ and F/sub q/+uF/sub q/ rings
- New extremal Type II ℤ4-codes of length 32 obtained from Hadamard matrices
- Some new symmetric designs with parameters (64, 28, 12)
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