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A028239 Weight distribution of (64, 2^52, 6) Preparata code. 2

%I #15 Dec 13 2019 05:33:53

%S 1,0,0,41664,2118168,74203584,1602647424,23369897088,238532662620,

%T 1758643689600,9579950593920,39232098538560,122387418032040,

%U 293729091759936,546275088069376,791155554970368,894836772921798

%N Weight distribution of (64, 2^52, 6) Preparata code.

%D F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 471.

%H Sean A. Irvine, <a href="/A028239/b028239.txt">Table of n, a(n) for n = 0..32</a>

%H A. R. Hammons, Jr., P. V. Kumar, A. R. Calderbank, N. J. A. Sloane and P. Solé, <a href="http://neilsloane.com/doc/linear.txt">The Z_4 linearity of Kerdock, Preparata, Goethals and related codes</a>, IEEE Trans. Inform. Theory, 40 (1994), 301-319.

%e 1 + 41664*y^6 + 2118168*y^8 + 74203584*y^10 + 1602647424*y^12 + 23369897088*y^14 + 238532662620*y^16 + 1758643689600*y^18 + 9579950593920*y^20 + 39232098538560*y^22 + 122387418032040*y^24 + 293729091759936*y^26 + 546275088069376*y^28 + 791155554970368*y^30 + 894836772921798*y^32 + 791155554970368*y^34 + 546275088069376*y^36 + 293729091759936*y^38 + 122387418032040*y^40 + 39232098538560*y^42 + 9579950593920*y^44 + 1758643689600*y^46 + 238532662620*y^48 + 23369897088*y^50 + 1602647424*y^52 + 74203584*y^54 + 2118168*y^56 + 41664*y^58 + y^64.

%Y Cf. A010032, A109159.

%K nonn,fini,full

%O 0,4

%A _N. J. A. Sloane_

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