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A146888 Weight distribution of [167,84,23] binary quadratic-residue (or QR) code. 0
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 110888, 665328, 0, 0, 3021698, 15108490, 0, 0, 1057206192, 4493126316, 0, 0, 268132007628, 983150694636, 0, 0, 39540857275985, 126530743283152, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,24

COMMENTS

Taken from the Tjhai-Tomlinson web site.

According to Boston and Hao, the Tjhai-Tomlinson web site gives several erroneous values, but their book with Ambroze, Ahmed, and Jibril gives correct values. - Eric M. Schmidt, Nov 17 2017

LINKS

Table of n, a(n) for n=0..42.

Nigel Boston and Jing Hao, The Weight Distribution of Quasi-quadratic Residue Codes, arXiv:1705.06413 [cs.IT], 2017.

C. J. Tjhai and Martin Tomlinson, Weight Distributions of Quadratic Residue and Quadratic Double Circulant Codes over GF(2) [dead link]

M. Tomlinson, C. J. Tjhai, M. A. Ambroze, M. Ahmed, M. Jibril, Error-Correction Coding and Decoding, Springer, 2017, p. 286.

EXAMPLE

The weight distribution is:

i A_i

0 1

23 110888

24 665328

27 3021698

28 15108490

31 1057206192

32 4493126316

35 268132007628

36 983150694636

39 39540857275985

40 126530743283152

43 3417107288264670

44 9630029630564070

47 179728155397349776

48 449320388493374440

51 5907921405841809432

52 13179209289954805656

55 124033230083117023704

56 248066460166234047408

59 1692604114105553659010

60 3046687405389996586218

63 15228066033367763990128

64 24745607304222616483958

67 91353417175290660468884

68 134343260551898030101300

71 368674760966511746549004

72 491566347955348995398672

75 1007629118755817710057646

76 1219761564809674070069782

79 1873856945935044844028880

80 2061242640528549328431768

83 2377873706297857672084688

84 2377873706297857672084688

87 2061242640528549328431768

88 1873856945935044844028880

91 1219761564809674070069782

92 1007629118755817710057646

95 491566347955348995398672

96 368674760966511746549004

99 134343260551898030101300

100 91353417175290660468884

103 24745607304222616483958

104 15228066033367763990128

107 3046687405389996586218

108 1692604114105553659010

111 248066460166234047408

112 124033230083117023704

115 13179209289954805656

116 5907921405841809432

119 449320388493374440

120 179728155397349776

123 9630029630564070

124 3417107288264670

127 126530743283152

128 39540857275985

131 983150694636

132 268132007628

135 4493126316

136 1057206192

139 15108490

140 3021698

143 665328

144 110888

167 1

CROSSREFS

Sequence in context: A251034 A265713 A114684 * A175535 A103874 A195223

Adjacent sequences:  A146885 A146886 A146887 * A146889 A146890 A146891

KEYWORD

nonn,fini

AUTHOR

N. J. A. Sloane, Apr 15 2009

EXTENSIONS

Corrected (using the Tomlinson et al. book) by Eric M. Schmidt, Nov 17 2017

STATUS

approved

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Last modified November 19 19:28 EST 2018. Contains 317364 sequences. (Running on oeis4.)