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Weight distribution of [73,37,13] binary quadratic-residue (or QR) code.
0

%I #2 Mar 30 2012 16:51:01

%S 1,0,0,0,0,0,0,0,0,0,0,0,0,1533,6570,19272,69861,266085,827820,

%T 2292200,6188940,15841584,37443744,82642716,172172325,337713987,

%U 623471976,1086405418,1784808901,2766489030,4057517244,5630090544

%N Weight distribution of [73,37,13] binary quadratic-residue (or QR) code.

%C Taken from the Tjhai-Tomlinson web site.

%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>

%e The weight distribution is:

%e i A_i

%e 0 1

%e 13 1533

%e 14 6570

%e 15 19272

%e 16 69861

%e 17 266085

%e 18 827820

%e 19 2292200

%e 20 6188940

%e 21 15841584

%e 22 37443744

%e 23 82642716

%e 24 172172325

%e 25 337713987

%e 26 623471976

%e 27 1086405418

%e 28 1784808901

%e 29 2766489030

%e 30 4057517244

%e 31 5630090544

%e 32 7389493839

%e 33 9183695358

%e 34 10804347480

%e 35 12034542312

%e 36 12703127996

%e 37 12703127996

%e 38 12034542312

%e 39 10804347480

%e 40 9183695358

%e 41 7389493839

%e 42 5630090544

%e 43 4057517244

%e 44 2766489030

%e 45 1784808901

%e 46 1086405418

%e 47 623471976

%e 48 337713987

%e 49 172172325

%e 50 82642716

%e 51 37443744

%e 52 15841584

%e 53 6188940

%e 54 2292200

%e 55 827820

%e 56 266085

%e 57 69861

%e 58 19272

%e 59 6570

%e 60 1533

%e 73 1

%K nonn,fini

%O 0,14

%A _N. J. A. Sloane_, Apr 09 2009