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A080953 Weight distribution of [151,76,19] binary quadratic-residue (or QR) code. 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3775, 24915, 0, 0, 113250, 604000, 0, 0, 30256625, 133993625, 0, 0, 8292705580, 31097645925, 0, 0, 1302257122605, 4196161839505, 0, 0, 113402818847850, 317527892773980, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,20

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..41.

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. 285.

EXAMPLE

The weight distribution is:

i A_i

0 1

19 3775

20 24915

23 113250

24 604000

27 30256625

28 133993625

31 8292705580

32 31097645925

35 1302257122605

36 4196161839505

39 113402818847850

40 317527892773980

43 5706949034630250

44 14007965812274250

47 171469716029462700

48 371517718063835850

51 3155019195317144883

52 6067344606379124775

55 36274321608490644595

56 62184551328841105020

59 264765917968736096775

60 405974407552062015055

63 1241968201959417159800

64 1707706277694198594725

67 3778485133479463579225

68 4667540459004043244925

71 7503425412744902320620

72 8337139347494335911800

75 9763682329503348632684

76 9763682329503348632684

79 8337139347494335911800

80 7503425412744902320620

83 4667540459004043244925

84 3778485133479463579225

87 1707706277694198594725

88 1241968201959417159800

91 405974407552062015055

92 264765917968736096775

95 62184551328841105020

96 36274321608490644595

99 6067344606379124775

100 3155019195317144883

103 371517718063835850

104 171469716029462700

107 14007965812274250

108 5706949034630250

111 317527892773980

112 113402818847850

115 4196161839505

116 1302257122605

119 31097645925

120 8292705580

123 133993625

124 30256625

127 604000

128 113250

131 24915

132 3775

151 1

CROSSREFS

Sequence in context: A137790 A284079 A108179 * A178193 A243777 A135200

Adjacent sequences:  A080950 A080951 A080952 * A080954 A080955 A080956

KEYWORD

nonn,fini,changed

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 20 10:41 EST 2017. Contains 294963 sequences.