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Some properties of skew codes over finite fields
July 09, 2015 Β· Declared Dead Β· π Des. Codes Cryptogr.
"No code URL or promise found in abstract"
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Authors
Luis Felipe Tapia CuitiΓ±o, Andrea Luigi Tironi
arXiv ID
1507.02726
Category
cs.IT: Information Theory
Cross-listed
math.RA
Citations
14
Venue
Des. Codes Cryptogr.
Last Checked
4 months ago
Abstract
After recalling the definition of codes as modules over skew polynomial rings, whose multiplication is defined by using an automorphism and a derivation, and some basic facts about them, in the first part of this paper we study some of their main algebraic and geometric properties. Finally, for module skew codes constructed only with an automorphism, we give some BCH type lower bounds for their minimum distance.
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