# American Institute of Mathematical Sciences

November  2012, 6(4): 419-442. doi: 10.3934/amc.2012.6.419

## Syndrome decoding for Hermite codes with a Sugiyama-type algorithm

 1 Institute of Pure Mathematics, Ulm University, Ulm, Germany 2 Institute of Communications Engineering, Ulm University, Ulm, Germany

Received  July 2011 Revised  May 2012 Published  November 2012

This paper gives a new approach to decoding Hermite codes using the key equation, avoiding the use of majority voting. Our approach corrects up to $(d_{\min}-1)/2$ errors, and works up to some extent also beyond. We present an efficient implementation of our algorithm based on a Sugiyama-type iterative procedure for computing solutions of a key equation.
Citation: Irene I. Bouw, Sabine Kampf. Syndrome decoding for Hermite codes with a Sugiyama-type algorithm. Advances in Mathematics of Communications, 2012, 6 (4) : 419-442. doi: 10.3934/amc.2012.6.419
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##### References:
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