Title :
The optimum distance profiles of the second order Reed-Muller codes
Author :
Chen, Yanling ; Vinck, A. J Han
Author_Institution :
Q2S, Norwegian Univ. of Sci. & Technol., Trondheim, Norway
fDate :
June 28 2009-July 3 2009
Abstract :
In this paper, we give a lower bound for the optimum distance profiles of the second order Reed-Muller code in the dictionary order and in the inverse dictionary order. In addition, we investigate the second order Reed-Muller codes of length les 256. We show that the bound is tight, in the dictionary order for the code of length les 32 and in the inverse dictionary order for the code of length les 128.
Keywords :
Reed-Muller codes; dictionary order; second order Reed-Muller codes; Block codes; Channel coding; Decoding; Dictionaries; Error correction codes; Linear code; Mathematics; Multiaccess communication; Reed-Solomon codes; Upper bound; MacWilliams´ identities; ODP in the inverse dictionary order; Optimum distance profile (ODP) in the dictionary order; minimum distance optimal code; self-complementary code;
Conference_Titel :
Information Theory, 2009. ISIT 2009. IEEE International Symposium on
Conference_Location :
Seoul
Print_ISBN :
978-1-4244-4312-3
Electronic_ISBN :
978-1-4244-4313-0
DOI :
10.1109/ISIT.2009.5205862
