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A146953 Weight distribution of [256,93,32] Reed-Muller (or RM) code. 1

%I #10 Jun 23 2023 16:38:12

%S 1,0,0,0,0,0,0,0,777240,0,0,0,2698577280,0,304296714240,0,

%T 74984804718940,707415842488320,28055013884190720,764244915168215040,

%U 20661827603503720320,414411510493363568640,6266131517201901649920

%N Weight distribution of [256,93,32] Reed-Muller (or RM) code.

%C Taken from the Terada-Asatani-Koumoto web site.

%H Georg Fischer, <a href="/A146953/b146953.txt">Table of n, a(n) for n = 0..64</a>

%H Claude Carlet and Patrick Solé, <a href="https://doi.org/10.1016/j.disc.2023.113568">The weight spectrum of two families of Reed-Muller codes</a>, Disc. Math. (2023) Vol. 346, Iss. 10, Art. 113568. See also <a href="https://hal.science/hal-04127551">hal-04127551</a>, 2023.

%H M. Terada, J. Asatani and T. Koumoto, <a href="http://isec.ec.okayama-u.ac.jp/home/kusaka/wd/index.html">Weight Distribution</a>

%e The weight distribution is:

%e i A_i

%e 0 1

%e 32 777240

%e 48 2698577280

%e 56 304296714240

%e 64 74984804718940

%e 68 707415842488320

%e 72 28055013884190720

%e 76 764244915168215040

%e 80 20661827603503720320

%e 84 414411510493363568640

%e 88 6266131517201901649920

%e 92 71773299826457585909760

%e 96 627671543662325464743336

%e 100 4208997665316969256058880

%e 104 21729945674277436342763520

%e 108 86666254361102444207800320

%e 112 267788217345284850768843520

%e 116 642477460725187489919139840

%e 120 1198959833392658891791089664

%e 124 1742452898879489085360046080

%e 128 1973540804513554426870962630

%e 132 1742452898879489085360046080

%e 136 1198959833392658891791089664

%e 140 642477460725187489919139840

%e 144 267788217345284850768843520

%e 148 86666254361102444207800320

%e 152 21729945674277436342763520

%e 156 4208997665316969256058880

%e 160 627671543662325464743336

%e 164 71773299826457585909760

%e 168 6266131517201901649920

%e 172 414411510493363568640

%e 176 20661827603503720320

%e 180 764244915168215040

%e 184 28055013884190720

%e 188 707415842488320

%e 192 74984804718940

%e 200 304296714240

%e 208 2698577280

%e 224 777240

%e 256 1

%K nonn,fini,full

%O 0,9

%A _N. J. A. Sloane_, Apr 23 2009

%E Zeroes inserted by _Georg Fischer_, Jul 16 2020

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Last modified June 27 04:46 EDT 2024. Contains 373727 sequences. (Running on oeis4.)