A142708 - OEIS

%I #3 Mar 30 2012 16:50:57

%S 1,0,0,0,0,0,0,0,25764,0,450870,2795394,36685789,468994974,4741799790,

%T 40222705272,282354497019,1670741392215,8378734842802,35791510616904,

%U 130792381305999,410299386601373,1108537936510704

%N Weight distribution of [114,57,16] binary extended 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 16 25764

%e 20 450870

%e 22 2795394

%e 24 36685789

%e 26 468994974

%e 28 4741799790

%e 30 40222705272

%e 32 282354497019

%e 34 1670741392215

%e 36 8378734842802

%e 38 35791510616904

%e 40 130792381305999

%e 42 410299386601373

%e 44 1108537936510704

%e 46 2586605780563854

%e 48 5223754097520833

%e 50 9146861126267592

%e 52 13906428976796370

%e 54 18376732004342040

%e 56 21121413533212376

%e 58 21121413533212376

%e 60 18376732004342040

%e 62 13906428976796370

%e 64 9146861126267592

%e 66 5223754097520833

%e 68 2586605780563854

%e 70 1108537936510704

%e 72 410299386601373

%e 74 130792381305999

%e 76 35791510616904

%e 78 8378734842802

%e 80 1670741392215

%e 82 282354497019

%e 84 40222705272

%e 86 4741799790

%e 88 468994974

%e 90 36685789

%e 92 2795394

%e 94 450870

%e 98 25764

%e 114 1

%K nonn,fini

%O 0,9

%A _N. J. A. Sloane_, Apr 02 2009