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A018895 Weight distribution of [512,130,64] third-order Reed-Muller code. 2

%I #23 Apr 12 2023 11:26:22

%S 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6304280,0,0,0,0,0,0,0,91931532672,0,

%T 0,0,27817105940480,0,29533455515648,0,12583593752692060,0,

%U 361519028967047168,0,17833197403694489600,12590654537544499200,1020786087075313090560,4318594506377763225600

%N Weight distribution of [512,130,64] third-order Reed-Muller code.

%H T. Sugita, T. Kasami and T. Fujiwara, <a href="/A018895/b018895.txt">Table of n, a(n) for n = 0..128</a> (uploaded by Sean A. Irvine)

%H Claude Carlet and Patrick Solé, <a href="https://arxiv.org/abs/2301.13497">The weight spectrum of several families of Reed-Muller codes</a>, arXiv:2301.13497 [cs.IT], 2023.

%H T. Sugita, T. Kasami and T. Fujiwara, <a href="https://doi.org/10.1109/18.532911">The weight distribution of the third-order Reed-Muller code of length 512</a>, IEEE Trans. Inform. Theory, 42 (1996), 1622-1625.

%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 64 6304280

%e 96 91931532672

%e 112 27817105940480

%e 120 29533455515648

%e 128 12583593752692060

%e 136 361519028967047168

%e 144 17833197403694489600

%e 148 12590654537544499200

%e 152 1020786087075313090560

%e 156 4318594506377763225600

%e 160 76250672761991902699392

%e 164 756987922760787925401600

%e 168 10681781836165110741073920

%e 172 141160417968996331322081280

%e 176 1881293459363764866821488640

%e 180 22693173473127523177526722560

%e 184 243425796518846768892807741440

%e 188 2286959999530827043343003811840

%e 192 18794346413747525588771309881256

%e 196 135166449866726530984447259443200

%e 200 851782704743623505607244340264960

%e 204 4708458509475456784322019301785600

%e 208 22852391704572296323834439067729920

%e 212 97462433014907637029830197227028480

%e 216 365526278184161946958403396381442048

%e 220 1206323178921139786668143271236075520

%e 224 3505401613163934151711462323206767360

%e 228 8973677587282039362822893193123594240

%e 232 20247351711512218010880337711776923648

%e 236 40281223524945861679013088343023943680

%e 240 70684468756337914215018072966269648896

%e 244 109433147018075062561515047663614033920

%e 248 149511090747941922330816647180299796480

%e 252 180285374094323192872363130190708080640

%e 256 191890235498693113461074863087609250246

%e 260 180285374094323192872363130190708080640

%e 264 149511090747941922330816647180299796480

%e 268 109433147018075062561515047663614033920

%e 272 70684468756337914215018072966269648896

%e 276 40281223524945861679013088343023943680

%e 280 20247351711512218010880337711776923648

%e 284 8973677587282039362822893193123594240

%e 288 3505401613163934151711462323206767360

%e 292 1206323178921139786668143271236075520

%e 296 365526278184161946958403396381442048

%e 300 97462433014907637029830197227028480

%e 304 22852391704572296323834439067729920

%e 308 4708458509475456784322019301785600

%e 312 851782704743623505607244340264960

%e 316 135166449866726530984447259443200

%e 320 18794346413747525588771309881256

%e 324 2286959999530827043343003811840

%e 328 243425796518846768892807741440

%e 332 22693173473127523177526722560

%e 336 1881293459363764866821488640

%e 340 141160417968996331322081280

%e 344 10681781836165110741073920

%e 348 756987922760787925401600

%e 352 76250672761991902699392

%e 356 4318594506377763225600

%e 360 1020786087075313090560

%e 364 12590654537544499200

%e 368 17833197403694489600

%e 376 361519028967047168

%e 384 12583593752692060

%e 392 29533455515648

%e 400 27817105940480

%e 416 91931532672

%e 448 6304280

%e 512 1

%K nonn,fini,full

%O 0,17

%A _N. J. A. Sloane_

%E Missing 0's inserted by _Sean A. Irvine_, Feb 17 2019

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Last modified March 28 07:20 EDT 2024. Contains 371235 sequences. (Running on oeis4.)