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|Title:||On the algebraic structure of quasi-cyclic codes II : chain rings||Authors:||Ling, San
|Keywords:||DRNTU::Engineering::Computer science and engineering::Computing methodologies::Symbolic and algebraic manipulation||Issue Date:||2003||Source:||Ling, S., & Solé, P. (2003). On the Algebraic Structure of Quasi-cyclic Codes II: Chain Rings Designs. Codes and Cryptography, 30(1), 113-130.||Series/Report no.:||Designs, codes and cryptography||Abstract:||The ring decomposition technique of part I is extended to the case when the factors in the direct product decomposition are no longer fields but arbitrary chain rings. This includes not only the case of quasi-cyclic codes over rings but also the case of quasi-cyclic codes over fields whose co-index is no longer prime to the characteristic of the field. A new quaternary construction of the Leech lattice is derived.||URI:||https://hdl.handle.net/10356/96415
|ISSN:||09251022||DOI:||http://dx.doi.org/10.1023/A:1024715527805||Rights:||© 2003 Springer, Part of Springer Science+Business Media. This is the author created version of a work that has been peer reviewed and accepted for publication by Designs, Codes and Cryptography, Springer, Part of Springer Science+Business Media. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1023/A:1024715527805].||Fulltext Permission:||open||Fulltext Availability:||With Fulltext|
|Appears in Collections:||SPMS Journal Articles|
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