FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 4, PAGES 1227-1236

**Extension theorem for linear codes over finite quasi-Frobenius modules**

I. L. Kheifets

Abstract

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F. J. MacWilliams proved an Extension theorem: Hamming
isometries between linear codes over finite fields extend to monomial
transformation.
This result has been generalized by J. A. Wood who proved it
for Frobenius rings.
In this paper the Extension theorem for linear codes over
a finite quasi-Frobenius module with commutative coefficient ring
is proved.
The main technique involves the description of quasi-Frobenius
module in terms of character theory.

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published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k01/k014/k01415h.htm

Last modified: April 17, 2002