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Published September 2005 | Published
Book Section - Chapter Open

The partition weight enumerator of MDS codes and its applications

Abstract

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.

Additional Information

© 2005 IEEE. Reprinted with permission. This research was supported by NSF grant no. CCR-0118670 and grants from Sony, Qualcomm, and the Lee Center for Advanced Networking.

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