Abstract
The semigroup determinant of a finite commutative chain ring factors completely into linear factors involving the characters of the group of units of the ring. The factorization proves the equivalence of two approaches to the extension theorem for general weight functions on linear codes over finite commutative chain rings
Partially supported by NSA grant MDA904-96-1-0067, and by Purdue University Calumet Scholarly Research Awards. This paper is an expanded version of results presented at the International Conference on Coding Theory, Cryptography and Related Areas, Guanajuato, Mexico, April 21, 1998. The paper is in final form and no version of it will be submitted for publication elsewhere.
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Wood, J.A. (2000). Factoring the Semigroup Determinant of a Finite Commutative Chain Ring. In: Buchmann, J., Høholdt, T., Stichtenoth, H., Tapia-Recillas, H. (eds) Coding Theory, Cryptography and Related Areas. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57189-3_23
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DOI: https://doi.org/10.1007/978-3-642-57189-3_23
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