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Construction and decoding of generalized skew-evaluation codes | IEEE Conference Publication | IEEE Xplore

Construction and decoding of generalized skew-evaluation codes


Abstract:

Skew polynomials are elements of a noncommutative ring that, in recent years, have found applications in coding theory and cryptography. Skew polynomials have a well-defi...Show More

Abstract:

Skew polynomials are elements of a noncommutative ring that, in recent years, have found applications in coding theory and cryptography. Skew polynomials have a well-defined evaluation map. This map leads to the definition of a class of codes called Generalized Skew-Evaluation codes that contains Gabidulin codes as a special case as well as other related codes with additional desirable properties. A Berlekamp-Welch-type decoder for an important class of these codes can be constructed using Kötter interpolation in skew polynomial rings.
Date of Conference: 06-09 July 2015
Date Added to IEEE Xplore: 14 September 2015
ISBN Information:
Conference Location: St. John's, NL, Canada

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