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A134975 Weight distribution of [127,64,19] 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, 8890, 48006, 0, 0, 2416302, 10470642, 0, 0, 642229602, 2293677150, 0, 0, 80124107595, 240372322785, 0, 0, 5082581311830, 12988818908010, 0, 0, 172664602751130, 379862126052486, 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 tables give several erroneous values. - Eric M. Schmidt, Nov 11 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]

EXAMPLE

The weight distribution is:

i A_i

0 1

19 8890

20 48006

23 2416302

24 10470642

27 642229602

28 2293677150

31 80124107595

32 240372322785

35 5082581311830

36 12988818908010

39 172664602751130

40 379862126052486

43 3262567479655902

44 6228537915706722

47 35293536896047416

48 58822561493412360

51 223367511592873284

52 326460209251122492

55 840260234424082220

56 1080334587116677140

59 1899366974583683220

60 2152615904528174316

63 2596788489999036307

64 2596788489999036307

67 2152615904528174316

68 1899366974583683220

71 1080334587116677140

72 840260234424082220

75 326460209251122492

76 223367511592873284

79 58822561493412360

80 35293536896047416

83 6228537915706722

84 3262567479655902

87 379862126052486

88 172664602751130

91 12988818908010

92 5082581311830

95 240372322785

96 80124107595

99 2293677150

100 642229602

103 10470642

104 2416302

107 48006

108 8890

127 1

CROSSREFS

Sequence in context: A282059 A167290 A043524 * A253664 A037192 A236890

Adjacent sequences:  A134972 A134973 A134974 * A134976 A134977 A134978

KEYWORD

nonn,fini

AUTHOR

N. J. A. Sloane, Apr 11 2009

EXTENSIONS

In accordance with Boston and Hao, corrected by Eric M. Schmidt, Nov 11 2017

STATUS

approved

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Last modified November 18 11:16 EST 2018. Contains 317302 sequences. (Running on oeis4.)