We derive new upper bounds on the covering radius of a binary linear code as a function of its dual distance and dual-distance width . These bounds improve on the Delorme -Sole ´ -Stokes bounds , and in a certain interval for binary linear codes they are also better than Tieta ¨ va ¨ inen's bound .
On the dual distance and the gap of a binary code
✍ Scribed by Patrick Solé; Jean-Pierre Tillicb
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 258 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0012-365X
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✦ Synopsis
The coset graph of a nondegenerate cyclic code is orbital regular. This yields a lower bound on its average distance, a parameter which measures the average distortion of a code used in data compression. Using results of Shahrokhi and Sz&kely we generalize this bound to binary codes with a transitive automorphism group.
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