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Cyclic codes and minimal strong Gröbner bases over a principal ideal ring
We characterise minimal strong Gröbner bases of R[x] where R is a commutative principal ideal ring and deduce a structure theorem for cyclic codes of arbitary length over R. When R is an Artinian chain ring with residue field R and gcd(char(R),n) = 1, we recover a theorem for cyclic codes of length...
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Main Authors: | , |
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Format: | Default Article |
Published: |
2003
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Subjects: | |
Online Access: | https://hdl.handle.net/2134/2322 |
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