DocumentCode :
2730287
Title :
New codes with the same weight distributions as the Goethals codes and the Delsarte-Goethals codes
Author :
Helleseth, Tor ; Kumar, P. Vijay ; Shanbhag, Abhijit G.
Author_Institution :
Dept. of Inf., Bergen Univ., Norway
fYear :
1995
fDate :
17-22 Sep 1995
Firstpage :
274
Abstract :
The Goethals code is a binary nonlinear code of length 2m+1 which has 22m+1-3m-2 codewords and minimum Hamming distance 8 for any odd m⩾3. We construct new codes over Z4 such that their Gray maps lead to codes with the same weight distribution as the Goethals codes and the Delsarte-Goethals codes
Keywords :
binary sequences; codes; Delsarte-Goethals codes; Goethals codes; Gray maps; binary nonlinear code; code length; minimum Hamming distance; weight distributions; Binary codes; Councils; Hamming distance; Hamming weight; Informatics; Linear code; Parity check codes;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
Type :
conf
DOI :
10.1109/ISIT.1995.535789
Filename :
535789
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2730287
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