DocumentCode
2269399
Title
The partition weight enumerator of MDS codes and its applications
Author
El-Khamy, Mostafa ; Mceliece, Robert J.
Author_Institution
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA
fYear
2005
fDate
4-9 Sept. 2005
Firstpage
926
Lastpage
930
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
Keywords
Reed-Solomon codes; error statistics; image coding; Reed Solomon codes; average binary image; maximum distance separable codes; multiuser error probability; partition weight enumerator; Closed-form solution; Decoding; Error probability; Galois fields; Hamming weight; Performance analysis; Polynomials; Reed-Solomon codes;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on
Conference_Location
Adelaide, SA
Print_ISBN
0-7803-9151-9
Type
conf
DOI
10.1109/ISIT.2005.1523473
Filename
1523473
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