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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Code equivalence characterizes finite Frobenius rings
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by Jay A. Wood PDF
Proc. Amer. Math. Soc. 136 (2008), 699-706 Request permission

Abstract:

In this paper we show that finite rings for which the code equivalence theorem of MacWilliams is valid for Hamming weight must necessarily be Frobenius. This result makes use of a strategy of Dinh and López-Permouth.
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Additional Information
  • Jay A. Wood
  • Affiliation: Department of Mathematics, Western Michigan University, 1903 W. Michigan Ave., Kalamazoo, Michigan 49008–5248
  • MR Author ID: 204174
  • Email: jay.wood@wmich.edu
  • Received by editor(s): February 6, 2007
  • Published electronically: November 6, 2007
  • Communicated by: Martin Lorenz
  • © Copyright 2007 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 699-706
  • MSC (2000): Primary 94B05; Secondary 16D50, 16L60, 16P10
  • DOI: https://doi.org/10.1090/S0002-9939-07-09164-2
  • MathSciNet review: 2358511