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Modular independence and generator matrices for codes over \({\mathbb {Z}_m}\)

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Abstract

We introduce a new notion of modular independence to define bases and the generator matrices for the codes over the ring of integers \({\mathbb {Z}_m}\) of general modulus m. We define standard forms for such generator matrices, and discuss how to find such forms and the parity check matrices.

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Authors and Affiliations

  1. Department of Mathematics, Kangwon National University, Chuncheon, 200-701, Korea

    Young Ho Park

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  1. Young Ho Park
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Correspondence to Young Ho Park.

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Communicated by E. Bannai.

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Park, Y.H. Modular independence and generator matrices for codes over \({\mathbb {Z}_m}\) . Des. Codes Cryptogr. 50, 147–162 (2009). https://doi.org/10.1007/s10623-008-9220-8

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  • DOI: https://doi.org/10.1007/s10623-008-9220-8

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