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 A110845 Weight enumerator of [128,64,16] Reed-Muller code RM(3,7). 1
 1, 0, 0, 0, 94488, 0, 74078592, 3128434688, 312335197020, 18125860315136, 552366841342848, 9491208609103872, 94117043084875944, 549823502398291968, 1920604779257215744, 4051966906789380096, 5193595576952890822, 4051966906789380096, 1920604779257215744, 549823502398291968, 94117043084875944, 9491208609103872, 552366841342848, 18125860315136, 312335197020, 3128434688, 74078592, 0, 94488, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 REFERENCES M. Sugino, Y. Ienaga, M. Tokura and T. Kasami, Weight distribution of (128,64) Reed-Muller code, IEEE Trans. Inform. Theory, 17 (1971), 627-628. LINKS Masaaki Harada, E Novak, VD Tonchev, The weight distribution of the self-dual [128, 64] polarity design code, arXiv preprint arXiv:1602.04661, 2016 N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745. M. Terada, J. Asatani and T. Koumoto, Weight Distribution EXAMPLE x^128 +94488*x^112 +74078592*x^104 +3128434688*x^100 +312335197020*x^96 +18125860315136*x^92 +552366841342848*x^88+ 9491208609103872*x^84 +94117043084875944*x^80 +549823502398291968*x^76 +1920604779257215744*x^72 +4051966906789380096*x^68 +5193595576952890822*x^64 +4051966906789380096*x^60 +1920604779257215744*x^56 +549823502398291968*x^52 +94117043084875944*x^48 +9491208609103872*x^44 +552366841342848*x^40 +18125860315136*x^36 +312335197020*x^32 +3128434688*x^28 +74078592*x^24 +94488*x^16+1. i A_i 0 1 16 94488 24 74078592 28 3128434688 32 312335197020 36 18125860315136 40 552366841342848 44 9491208609103872 48 94117043084875944 52 549823502398291968 56 1920604779257215744 60 4051966906789380096 64 5193595576952890822 68 4051966906789380096 72 1920604779257215744 76 549823502398291968 80 94117043084875944 84 9491208609103872 88 552366841342848 92 18125860315136 96 312335197020 100 3128434688 104 74078592 112 94488 128 1 CROSSREFS Cf. A006006, A006028, A010083, A110846. Sequence in context: A031675 A254977 A238143 * A348021 A248067 A252323 Adjacent sequences:  A110842 A110843 A110844 * A110846 A110847 A110848 KEYWORD nonn,fini,full AUTHOR N. J. A. Sloane and Nadia Heninger Aug 18 2005 STATUS approved

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Last modified January 22 19:25 EST 2022. Contains 350490 sequences. (Running on oeis4.)