DocumentCode
2988456
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
fYear
2009
fDate
June 28 2009-July 3 2009
Firstpage
2236
Lastpage
2240
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ISIT.2009.5205862
Filename
5205862
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