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%I #30 Mar 22 2024 19:37:45
%S 1,0,0,0,0,0,0,0,0,0,0,321402,2356948,21533934,490138050,6648307504,
%T 77865259035,771068968365,6551964560395,48016671847203,
%U 304734017875437,1682222779056949,8108674129521168,34244594187642954,127081843539044182,415479348655935216
%N Weight distribution of [138,69,22] binary extended quadratic-residue (or QR) code.
%C Taken from the Tjhai-Tomlinson website. [This refers to the second table, which is not correct. The first table is correct and taken from the arXiv article.]
%C The arXiv article provides a corrected table, see link. - _Hugo Pfoertner_, Mar 11 2020
%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> [broken link]
%H C. Tjhai, M. Tomlinson, M. Ambroze, and 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], 25 Jan 2008.
%H C. Tjhai, M. Tomlinson, M. Ambroze, and M. Ahmed, <a href="/A097937/a097937.txt">3rd column of Table 1 of arXiv:0801.3926</a>, 2008.
%e The weight distribution as given in the arXiv:0801.3926 article:
%e i A_i
%e 0 1
%e 22 321402
%e 24 2356948
%e 26 21533934
%e 28 490138050
%e 30 6648307504
%e 32 77865259035
%e 34 771068968365
%e 36 6551964560395
%e 38 48016671847203
%e 40 304734017875437
%e 42 1682222779056949
%e 44 8108674129521168
%e 46 34244594187642954
%e 48 127081843539044182
%e 50 415479348655935216
%e 52 1199437032565603086
%e 54 3063553566175154416
%e 56 6934772281891681524
%e 58 13932469221702235932
%e 60 24873788403009712900
%e 62 39500790442042374192
%e 64 55841886989113691343
%e 66 70316519062819817006
%e 68 78897731337990186714
%e 70 78897731337990186714
%e 72 70316519062819817006
%e 74 55841886989113691343
%e 76 39500790442042374192
%e 78 24873788403009712900
%e 80 13932469221702235932
%e 82 6934772281891681524
%e 84 3063553566175154416
%e 86 1199437032565603086
%e 88 415479348655935216
%e 90 127081843539044182
%e 92 34244594187642954
%e 94 8108674129521168
%e 96 1682222779056949
%e 98 304734017875437
%e 100 48016671847203
%e 102 6551964560395
%e 104 771068968365
%e 106 77865259035
%e 108 6648307504
%e 110 490138050
%e 112 21533934
%e 114 2356948
%e 116 321402
%e 118 1
%e ---
%e The following version, which was taken from the website of the authors, *is not correct*. It is given here in accordance with the OEIS policy of including incorrect versions if they were previously published on the OEIS.
%e i A_i
%e 0 1
%e 22 321402
%e 24 2356948
%e 26 21533934
%e 28 490138050
%e 30 6648307504
%e 32 77865259035
%e 34 771068968365
%e 36 6551964560395
%e 38 48016671847203
%e 40 304734017875437
%e 42 1682222779056949
%e 44 8108674129521168
%e 46 34244594187642952
%e 48 127081843539044176
%e 50 415479348655935232
%e 52 1199437032565603072
%e 54 3063553566175154176
%e 56 6934772281891681280
%e 58 13932469221702236160
%e 60 24873788403009712128
%e 62 39500790442042376192
%e 64 55841886989113688064
%e 66 70316519062819815424
%e 68 78897731337990193152
%e 70 78897731337990193152
%e 72 70316519062819815424
%e 74 55841886989113688064
%e 76 39500790442042376192
%e 78 24873788403009712128
%e 80 13932469221702236160
%e 82 6934772281891681280
%e 84 3063553566175154176
%e 86 1199437032565603072
%e 88 415479348655935232
%e 90 127081843539044176
%e 92 34244594187642952
%e 94 8108674129521168
%e 96 1682222779056949
%e 98 304734017875437
%e 100 48016671847203
%e 102 6551964560395
%e 104 771068968365
%e 106 77865259035
%e 108 6648307504
%e 110 490138050
%e 112 21533934
%e 114 2356948
%e 116 321402
%e 118 1
%Y Cf. A076710.
%K nonn,fini
%O 0,12
%A _N. J. A. Sloane_, Apr 02 2009
%E At the suggestion of _Hugo Pfoertner_, corrected by _Peter Luschny_, Mar 13 2020
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