On the Structure of Linear and Cyclic Codes over a Finite Chain Ring |
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| Authors: | Graham H Norton Ana Sălăgean |
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| Affiliation: | (1) Algebraic Coding Research Group, Centre for Communications Research, University of Bristol, Bristol BS8 1UB, UK (e-mail: Graham.Norton@bristol.ac.uk), GB;(2) Department of Mathematics, Nottingham Trent University, Nottingham NG11 8NS, UK (e-mail: Ana.Salagean@ntu.ac.uk), GB |
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| Abstract: | We generalise structure theorems of Calderbank and Sloane for linear and cyclic codes over ℤ
pa
to a finite chain ring. Our results are more detailed and do not use non-trivial results from Commutative Algebra.
Received: January 25, 1999; revised version: November 17, 1999 |
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| Keywords: | : Finite chain ring Galois ring Linear code Cyclic code |
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