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A069646 Weight distribution of [97,49,15] binary quadratic-residue (or QR) code. 1

%I #12 Mar 12 2020 03:07:42

%S 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4656,23862,14841,65960,190120,741468,

%T 3375988,11662504,40893648,126088748,360406410,998048520,2614461952,

%U 6536154880,15589859400,35337014640,76345991760,157463608005

%N Weight distribution of [97,49,15] binary quadratic-residue (or QR) code.

%C Taken from the Tjhai-Tomlinson web site.

%H Georg Fischer, <a href="/A069646/b069646.txt">Table of n, a(n) for n = 0..97</a>

%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 Trieu-Kien Truong, Yaotsu Chang and Chong-Dao Lee, <a href="https://doi.org/10.1109/TIT.2005.846383">The weight distributions of some binary quadratic residue codes</a>, IEEE Transactions on Information Theory, Issue 5, May-2005.

%e The weight distribution is:

%e i A_i

%e 0 1

%e 15 4656

%e 16 23862

%e 17 14841

%e 18 65960

%e 19 190120

%e 20 741468

%e 21 3375988

%e 22 11662504

%e 23 40893648

%e 24 126088748

%e 25 360406410

%e 26 998048520

%e 27 2614461952

%e 28 6536154880

%e 29 15589859400

%e 30 35337014640

%e 31 76345991760

%e 32 157463608005

%e 33 310186322386

%e 34 583880136256

%e 35 1050952990464

%e 36 1809974594688

%e 37 2983811972296

%e 38 4711282061520

%e 39 7127688680200

%e 40 10335148586290

%e 41 14368570181112

%e 42 19158093574816

%e 43 24503812839176

%e 44 30072861211716

%e 45 35419208941404

%e 46 40039105759848

%e 47 43447332367896

%e 48 45257637883225

%e 49 45257637883225

%e 50 43447332367896

%e 51 40039105759848

%e 52 35419208941404

%e 53 30072861211716

%e 54 24503812839176

%e 55 19158093574816

%e 56 14368570181112

%e 57 10335148586290

%e 58 7127688680200

%e 59 4711282061520

%e 60 2983811972296

%e 61 1809974594688

%e 62 1050952990464

%e 63 583880136256

%e 64 310186322386

%e 65 157463608005

%e 66 76345991760

%e 67 35337014640

%e 68 15589859400

%e 69 6536154880

%e 70 2614461952

%e 71 998048520

%e 72 360406410

%e 73 126088748

%e 74 40893648

%e 75 11662504

%e 76 3375988

%e 77 741468

%e 78 190120

%e 79 65960

%e 80 14841

%e 81 23862

%e 82 4656

%e 97 1

%K nonn,fini,full

%O 0,16

%A _N. J. A. Sloane_, Apr 11 2009

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Last modified April 24 15:57 EDT 2024. Contains 371961 sequences. (Running on oeis4.)