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Quasideterminant Characterization of MDS Group Codes over Abelian Groups

โœ Scribed by A. A. Zain; B. Sundar Rajan


Book ID
110260261
Publisher
Springer
Year
1998
Tongue
English
Weight
116 KB
Volume
13
Category
Article
ISSN
0925-1022

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Matrix characterization of MDS linear co
โœ Xue-Dong Dong; Cheong Boon Son; Erry Gunawan ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 205 KB

Let R be a commutative ring with identity, N be an R-module, and M = (a,/),.ร—~. be a matrix over R. A linear code C of length n over N is defined to be a submodule of N '~. It is shown that a linear code C(k, r) with parity check matrix (-MI/,.) is maximum distance separable (MDS) iff the determinan