The Partition Weight Enumerator of MDS Codes and its Applications

Details The Partition Weight Enumerator of MDS Codes and its Applications The Partition Weight Enumerator of MDS Codes and its Applications

2005-05-21

arxiv.org/abs/cs/0505054v1

Computer Science

Information Theory

This is a five page conference version of the paper which was accepted by ISIT 2005. For more information, please contact the

Scientific paper

A closed form formula of the partition weight enumerator of maximum distance separable (MDS) codes is derived for an arbitrary number of partitions. Using this result, some properties of MDS codes are discussed. The results are extended for the average binary image of MDS codes in finite fields of characteristic two. As an application, we study the multiuser error probability of Reed Solomon codes.

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