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Zbl 1003.94046
Dougherty, Steven T.; Shiromoto, Keisuke
Maximum distance codes over rings of order 4.
(English)
[J] IEEE Trans. Inf. Theory 47, No.1, 400-404 (2001). ISSN 0018-9448

Summary: In this correspondence we study bounds on the Euclidean, Hamming, Lee, and Bachoc weights of codes over rings of order 4 similar to the Singleton bound and investigate the relationship between these bounds. Moreover, we give some characterizations of the codes meeting these bounds.
MSC 2000:
*94B65 Bounds on codes

Keywords: Gray map; MDS codes; bounds; weights; codes over rings; Singleton bound

Cited in: Zbl 1232.94017

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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