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
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;
Conference_Titel :
Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-9151-9
DOI :
10.1109/ISIT.2005.1523473
