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On Self-Orthogonality and Self-Duality of Matrix-Product Codes over Commutative Rings

Information Theory 2019-10-22 v1 math.IT

Abstract

Let RR be a commutative ring with identity. The paper studies the problem of self-orthogonality and self-duality matrix-product codes (MPCs) over RR. Some methods as well as special matrices are introduced for the construction of such MPCs. A characterization of such codes (in a special case) is also given. Some concrete examples are presented throughout the paper.

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Cite

@article{arxiv.1910.08900,
  title  = {On Self-Orthogonality and Self-Duality of Matrix-Product Codes over Commutative Rings},
  author = {Abdulaziz Deajim and Mohamed Bouye},
  journal= {arXiv preprint arXiv:1910.08900},
  year   = {2019}
}

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10 pages