FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

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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Last modified: April 17, 2002