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Full rank distance codes and optimal STBC for BPSK modulation

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2 Author(s)
Manoj, K.N. ; Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India ; Rajan, B.S.

Viewing the codewords of an [n, k] linear code over a field F(qm) as m×n matrices over Fq by expanding each entry of the codeword with respect to an Fq-basis of F(qm), the rank weight of a codeword is the rank over Fq of the corresponding matrix and the rank of the code is the minimum rank weight among all non-zero codewords. For m≥n-k+1, codes with maximum possible rank distance, called maximum rank distance (MRD) codes have been studied previously. We study codes with maximum possible rank distance for the cases m≤n-k+1, calling them full rank distance (FRD) codes. Generator matrices of FRD codes are characterized.

Published in:

Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on

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