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%I #6 Nov 18 2017 18:46:24
%S 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,
%T 3021698,15108490,0,0,1057206192,4493126316,0,0,268132007628,
%U 983150694636,0,0,39540857275985,126530743283152,0,0
%N Weight distribution of [167,84,23] binary quadratic-residue (or QR) code.
%C Taken from the Tjhai-Tomlinson web site.
%C 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
%H Nigel Boston and Jing Hao, <a href="https://arxiv.org/abs/1705.06413">The Weight Distribution of Quasi-quadratic Residue Codes</a>, arXiv:1705.06413 [cs.IT], 2017.
%H C. J. Tjhai and Martin Tomlinson, <a href="http://www.tech.plym.ac.uk/Research/fixed_and_mobile_communications/links/weightdistributions.htm"> Weight Distributions of Quadratic Residue and Quadratic Double Circulant Codes over GF(2)</a> [dead link]
%H M. Tomlinson, C. J. Tjhai, M. A. Ambroze, M. Ahmed, M. Jibril, <a href="https://dx.doi.org/10.1007/978-3-319-51103-0">Error-Correction Coding and Decoding</a>, Springer, 2017, p. 286.
%e The weight distribution is:
%e i A_i
%e 0 1
%e 23 110888
%e 24 665328
%e 27 3021698
%e 28 15108490
%e 31 1057206192
%e 32 4493126316
%e 35 268132007628
%e 36 983150694636
%e 39 39540857275985
%e 40 126530743283152
%e 43 3417107288264670
%e 44 9630029630564070
%e 47 179728155397349776
%e 48 449320388493374440
%e 51 5907921405841809432
%e 52 13179209289954805656
%e 55 124033230083117023704
%e 56 248066460166234047408
%e 59 1692604114105553659010
%e 60 3046687405389996586218
%e 63 15228066033367763990128
%e 64 24745607304222616483958
%e 67 91353417175290660468884
%e 68 134343260551898030101300
%e 71 368674760966511746549004
%e 72 491566347955348995398672
%e 75 1007629118755817710057646
%e 76 1219761564809674070069782
%e 79 1873856945935044844028880
%e 80 2061242640528549328431768
%e 83 2377873706297857672084688
%e 84 2377873706297857672084688
%e 87 2061242640528549328431768
%e 88 1873856945935044844028880
%e 91 1219761564809674070069782
%e 92 1007629118755817710057646
%e 95 491566347955348995398672
%e 96 368674760966511746549004
%e 99 134343260551898030101300
%e 100 91353417175290660468884
%e 103 24745607304222616483958
%e 104 15228066033367763990128
%e 107 3046687405389996586218
%e 108 1692604114105553659010
%e 111 248066460166234047408
%e 112 124033230083117023704
%e 115 13179209289954805656
%e 116 5907921405841809432
%e 119 449320388493374440
%e 120 179728155397349776
%e 123 9630029630564070
%e 124 3417107288264670
%e 127 126530743283152
%e 128 39540857275985
%e 131 983150694636
%e 132 268132007628
%e 135 4493126316
%e 136 1057206192
%e 139 15108490
%e 140 3021698
%e 143 665328
%e 144 110888
%e 167 1
%K nonn,fini
%O 0,24
%A _N. J. A. Sloane_, Apr 15 2009
%E Corrected (using the Tomlinson et al. book) by _Eric M. Schmidt_, Nov 17 2017
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