A080953 Weight distribution of [151,76,19] binary quadratic-residue (or QR) code.
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
Offset: 0
Examples
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
Links
- 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.
Extensions
Corrected (using the Tomlinson et al. book) by Eric M. Schmidt, Nov 17 2017
Comments