Good \(p\)-ary quasic-cyclic codes from cyclic codes over \(\mathbb F_p+ v\mathbb F_p\)
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Publication:488903
DOI10.1007/s11424-012-0076-7zbMath1395.94351OpenAlexW2018871360MaRDI QIDQ488903
Shixin Zhu, Minjia Shi, Shan-Lin Yang
Publication date: 27 January 2015
Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11424-012-0076-7
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)
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Cites Work
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- Cyclic codes over the integers modulo \(p^m\).
- Applications of coding theory to the construction of modular lattices
- 2-modular lattices from ternary codes.
- Codes over \(\mathbb F_{3} + u\mathbb F_{3}\) and improvements to the bounds on ternary linear codes
- Linear codes over \({\mathbb F}_{q}[u/(u^s)\) with respect to the Rosenbloom-Tsfasman metric]
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- On the algebraic structure of quasi-cyclic codes .I. Finite fields
- Some Results on Cyclic Codes Over ${F}_{2}+v{F}_{2}$