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%I A076710 #15 Mar 14 2020 09:49:47
%S A076710 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,51238,270164,409904,
%T A076710 1947044,4057118,17476816,99448300,390689750,1445284240,5203023264,
%U A076710 18055712240,59809546795,189973513945,581095454420,1709208146190
%N A076710 Weight distribution of [137, 69, 21] binary quadratic-residue (or QR) code.
%C A076710 Taken from the Tjhai-Tomlinson web site.
%C A076710 According to Boston and Hao, the Tjhai-Tomlinson web site gives several erroneous values, but their article with Ambroze and Ahmed has correct values. - _Eric M. Schmidt_, Nov 17 2017
%H A076710 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 A076710 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 A076710 C. Tjhai, M. Tomlinson, M. Ambroze, M. Ahmed, <a href="https://arxiv.org/abs/0801.3926">On the Weight Distribution of the Extended Quadratic Residue Code of Prime 137</a>, arXiv:0801.3926 [cs.IT], 2008.
%e A076710 The weight distribution is:
%e A076710 i A_i
%e A076710 0 1
%e A076710 21 51238
%e A076710 22 270164
%e A076710 23 409904
%e A076710 24 1947044
%e A076710 25 4057118
%e A076710 26 17476816
%e A076710 27 99448300
%e A076710 28 390689750
%e A076710 29 1445284240
%e A076710 30 5203023264
%e A076710 31 18055712240
%e A076710 32 59809546795
%e A076710 33 189973513945
%e A076710 34 581095454420
%e A076710 35 1709208146190
%e A076710 36 4842756414205
%e A076710 37 13221982102853
%e A076710 38 34794689744350
%e A076710 39 88328700833460
%e A076710 40 216405317041977
%e A076710 41 511980845799941
%e A076710 42 1170241933257008
%e A076710 43 2585374360137184
%e A076710 44 5523299769383984
%e A076710 45 11414864729214318
%e A076710 46 22829729458428636
%e A076710 47 44202380361406672
%e A076710 48 82879463177637510
%e A076710 49 150535995889831600
%e A076710 50 264943352766103616
%e A076710 51 451961780387038844
%e A076710 52 747475252178564242
%e A076710 53 1198781830242451728
%e A076710 54 1864771735932702688
%e A076710 55 2814110491202421488
%e A076710 56 4120661790689260036
%e A076710 57 5855675469990794812
%e A076710 58 8076793751711441120
%e A076710 59 10814690610004223000
%e A076710 60 14059097793005489900
%e A076710 61 17746731937729182608
%e A076710 62 21754058504313191584
%e A076710 63 25897686719588958304
%e A076710 64 29944200269524733039
%e A076710 65 33629639551783390742
%e A076710 66 36686879511036426264
%e A076710 67 38877142978140092004
%e A076710 68 40020588359850094710
%e A076710 69 40020588359850094710
%e A076710 70 38877142978140092004
%e A076710 71 36686879511036426264
%e A076710 72 33629639551783390742
%e A076710 73 29944200269524733039
%e A076710 74 25897686719588958304
%e A076710 75 21754058504313191584
%e A076710 76 17746731937729182608
%e A076710 77 14059097793005489900
%e A076710 78 10814690610004223000
%e A076710 79 8076793751711441120
%e A076710 80 5855675469990794812
%e A076710 81 4120661790689260036
%e A076710 82 2814110491202421488
%e A076710 83 1864771735932702688
%e A076710 84 1198781830242451728
%e A076710 85 747475252178564242
%e A076710 86 451961780387038844
%e A076710 87 264943352766103616
%e A076710 88 150535995889831600
%e A076710 89 82879463177637510
%e A076710 90 44202380361406672
%e A076710 91 22829729458428636
%e A076710 92 11414864729214318
%e A076710 93 5523299769383984
%e A076710 94 2585374360137184
%e A076710 95 1170241933257008
%e A076710 96 511980845799941
%e A076710 97 216405317041977
%e A076710 98 88328700833460
%e A076710 99 34794689744350
%e A076710 100 13221982102853
%e A076710 101 4842756414205
%e A076710 102 1709208146190
%e A076710 103 581095454420
%e A076710 104 189973513945
%e A076710 105 59809546795
%e A076710 106 18055712240
%e A076710 107 5203023264
%e A076710 108 1445284240
%e A076710 109 390689750
%e A076710 110 99448300
%e A076710 111 17476816
%e A076710 112 4057118
%e A076710 113 1947044
%e A076710 114 409904
%e A076710 115 270164
%e A076710 116 51238
%e A076710 137 1
%Y A076710 Cf. A097937.
%K A076710 nonn,fini
%O A076710 0,22
%A A076710 _N. J. A. Sloane_, Apr 14 2009
%E A076710 Corrected (using the Tjhai et al. arXiv article) by _Eric M. Schmidt_, Nov 17 2017

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