On modular cyclic codes
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Publication:865379
DOI10.1016/j.ffa.2005.06.004zbMath1130.94333OpenAlexW1971162564MaRDI QIDQ865379
Steven T. Dougherty, Young-Ho Park
Publication date: 14 February 2007
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2005.06.004
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Singularities of curves, local rings (14H20) Cyclic codes (94B15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Cyclic codes over the integers modulo \(p^m\).
- Cyclic codes over \(\mathbb{Z}_{4}\) of oddly even length.
- Modular and \(p\)-adic cyclic codes
- On the generators of Z/sub 4/ cyclic codes of length 2/sup e/
- MDR codes over Z/sub k/
- Cyclic codes and quadratic residue codes over Z/sub 4/
- On repeated-root cyclic codes
- Repeated-root cyclic codes
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