Weight Distribution
Reed-Muller Codes
(8,4)
(16,5)
(16,11)
(32,6)
(32,16)
(32,26)
(64,7)
(64,22)
(64,42)
(64,57)
(128,8)
(128,29)
(128,64)*1
(128,99)
(256,9)
(256,37)
(256,93)
(256,163)
(512,10)
(512,46)
(512,130)
(512,256)
(512,382)
Extended Binary Primitive BCH Codes
(8,4)
(16,5)
(16,7)
(16,11)
(32,6)
(32,11)
(32,16)
(32,21)
(32,26)
(64,7)
(64,10)
(64,16)
(64,18)
(64,24)
(64,30)
(64,36)
(64,39)
(64,45)
(64,51)
(64,57)
(128,8)
(128,15)
(128,22)
(128,29)*3
(128,36)*3
(128,43)*3
(128,50)*3
(128,57)*3
(128,64)*3
(128,71)*3
(128,78)*3
(128,85)*3
(128,92)*3
(128,99)*3
(128,106)
(128,113)
(128,120)
(256,9)
(256,13)
(256,21)
(256,29)*4
(256,37)*4
(256,45)*4
(256,47)*4
(256,55)*4
(256,63)*4
(256,71)
(256,79)
(256,87)
(256,91)
(256,99)
(256,107)
(256,115)
(256,123)
(256,131)
(256,139)
(256,147)
(256,155)
(256,163)
(256,171)
(256,179)
(256,187)
(256,191)
(256,199)
(256,207)*4
(256,215)*4
(256,223)*4
(256,231)
(256,239)
(256,247)
Binary Primitive BCH Codes
(7,4)
(15,5)
(15,7)
(15,11)
(31,6)
(31,11)
(31,16)
(31,21)
(31,26)
(63,7)
(63,10)
(63,16)
(63,18)
(63,24)
(63,30)
(63,36)
(63,39)
(63,45)
(63,51)
(63,57)
(127,8)
(127,15)
(127,22)
(127,29)
(127,36)
(127,43)
(127,50)
(127,57)
(127,64)
(127,71)
(127,78)
(127,85)
(127,92)
(127,99)
(127,106)
(127,113)
(127,120)
(255,9)
(255,13)
(255,21)
(255,29)
(255,37)
(255,45)
(255,47)
(255,55)
(255,63)
(255,71)
(255,79)
(255,87)
(255,91)
(255,99)
(255,107)
(255,115)
(255,123)
(255,131)
(255,139)
(255,147)
(255,155)
(255,163)
(255,171)
(255,179)
(255,187)
(255,191)
(255,199)
(255,207)*4
(255,215)*4
(255,223)*4
(255,231)
(255,239)
(255,247)
Reference
*1 M. Sugino, Y. Tokura and T. Kasami, "Weight Distribution
of (128,64) Reed-Muller Code,", IEEE Transaction on
Information Theory, 17, pp.627-628, 1971
*2 T. Sugita, T. Kasami and T. Fujiwara, "The Weight
Distribution of the Third -Order Reed-Muller Code of Length
512," IEEE Transaction on Information Theory, 42, 5,
pp.1622-1625, September 1996
*3 Y. Desaki, T. Fujiwara and T. Kasami, "The Weight
Distribution of Extended Binary Primitive BCH Code of Lenght
128," IEEE Transaction on Information Theory, 43, 4,
pp.1364-1371, July. 1997
*4 T. Fujiwara and T. Kasami, "The Weight Distribution of
(256,k) Extended Binary Primitive BCH Code with k <= 63,
k>=207," Technical Report of IEICE, IT97-46, pp.29-33,
September, 1993
Acknowledgments
We would like to thank Professors Desaki, Fujiwara and
Tomita for their help to provide numerical data and useful
suggestions.
Created by M. Terada, J. Asatani and T. Koumoto.