Journal
DESIGNS CODES AND CRYPTOGRAPHY
Volume 71, Issue 2, Pages 201-227Publisher
SPRINGER
DOI: 10.1007/s10623-012-9726-y
Keywords
Matrix product code; Frobenius ring; Minimum distance; Dual code; Quasi-cyclic code
Funding
- NSFC [10871079, 11171370]
- Singapore MOE-AcRF Tier 2 Research Grant [T208B2204]
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Properties of matrix product codes over finite commutative Frobenius rings are investigated. The minimum distance of matrix product codes constructed with several types of matrices is bounded in different ways. The duals of matrix product codes are also explicitly described in terms of matrix product codes.
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