Self-dual codes over \(\mathbb{F}_5\) and \(s\)-extremal unimodular lattices
From MaRDI portal
Publication:2092346
DOI10.1016/j.disc.2022.113126OpenAlexW4293066646WikidataQ113877004 ScholiaQ113877004MaRDI QIDQ2092346
Publication date: 2 November 2022
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.03617
Theory of error-correcting codes and error-detecting codes (94Bxx) Designs and configurations (05Bxx) Geometry of numbers (11Hxx)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Self-dual codes from circulant matrices
- Double circulant and quasi-twisted self-dual codes over \(\mathbb F_5\) and \(\mathbb F_7\)
- On circulant self-dual codes over small fields
- Self-dual codes over GF(5)
- A note on optimal unimodular lattices
- The shadow theory of modular and unimodular lattices
- The Magma algebra system. I: The user language
- Experimental constructions of self-dual codes
- Extremal odd unimodular lattices in dimensions 44, 46 and 47
- On the minimum weight of codes over \(\mathbb F_5\) constructed from certain conference matrices
- Shadow lattices and shadow codes
- Quadratic double circulant codes over fields
- An optimal unimodular lattice in dimension 39
- Construction of new extremal unimodular lattices
- Some extremal self-dual codes and unimodular lattices in dimension 40
- Extremal unimodular lattices in dimension 36
- Extremal ternary self-dual codes constructed from negacirculant matrices
- A bound for certain \(s\)-extremal lattices and 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
- CONSTRUCTION OF SOME UNIMODULAR LATTICES WITH LONG SHADOWS
- New Nonbinary Self-Dual Codes
This page was built for publication: Self-dual codes over \(\mathbb{F}_5\) and \(s\)-extremal unimodular lattices
