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Error-correcting codes as ideals in group rings. (English) Zbl 0983.94043
Kelarev, A. V. (ed.) et al., Abelian groups, rings and modules. Proceedings of the AGRAM 2000 conference, Perth, Australia, July 9-15, 2000. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 273, 11-18 (2001).
This is a survey paper on error-correcting codes, which are ideals in group algebras. The authors also collected the most interesting 50 references about group codes.
For the entire collection see [Zbl 0960.00043].

MSC:
94B05 Linear codes (general theory)
16S34 Group rings
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
94B15 Cyclic codes
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