Title :
On self-dual MDS codes
Author :
Grass, M. ; Gulliver, T. Aaron
Author_Institution :
Inst. for Quantum Opt.&Quantum Inf., Austrian Acad. of Sci., Innsbruck
Abstract :
We consider the problem for which lengths a self-dual MDS code over Fq exists.We show that for q = 2m, there are self-dual MDS codes for all even lengths up to 2m. Furthermore, self-dual MDS codes of length q + 1 over Fq exist for all odd prime powers q. Additionally, we present some new self-dual MDS codes.
Keywords :
dual codes; maximum separable code; self-dual MDS codes; Galois fields; Hamming weight; Linear code; Optical computing; Quantum computing; Reed-Solomon codes; Vectors;
Conference_Titel :
Information Theory, 2008. ISIT 2008. IEEE International Symposium on
Conference_Location :
Toronto, ON
Print_ISBN :
978-1-4244-2256-2
Electronic_ISBN :
978-1-4244-2257-9
DOI :
10.1109/ISIT.2008.4595330
