MDS self-dual codes over large prime fields
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Publication:1867458
DOI10.1006/ffta.2002.0353zbMath1022.94015OpenAlexW2053743818MaRDI QIDQ1867458
Christos Koukouvinos, Stelios D. Georgiou
Publication date: 2 April 2003
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/ffta.2002.0353
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Other designs, configurations (05B30) Other types of codes (94B60)
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Cites Work
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- Self-dual doubly circulant codes
- Self-dual codes over GF(5)
- New optimal self-dual codes over GF(7).
- Formally self-dual codes related to Type II codes
- Orthogonal designs and Type II codes over \(\mathbb Z_{2k}\)
- On self-dual codes over some prime fields.
- Self-dual codes over<tex>GF(7)</tex>(Corresp.)
- Orthogonal desingns
- Self-dual codes over F/sub p/ and weighing matrices
- Generalizations of Gleason's theorem on weight enumerators of self-dual codes
