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

1, 0, 0, 41664, 2118168, 74203584, 1602647424, 23369897088, 238532662620, 1758643689600, 9579950593920, 39232098538560, 122387418032040, 293729091759936, 546275088069376, 791155554970368, 894836772921798

Offset

0,4

References

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

Links

Sean A. Irvine, Table of n, a(n) for n = 0..32

A. R. Hammons, Jr., P. V. Kumar, A. R. Calderbank, N. J. A. Sloane and P. Solé, The Z_4 linearity of Kerdock, Preparata, Goethals and related codes, IEEE Trans. Inform. Theory, 40 (1994), 301-319.

Example

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.

Crossrefs

Cf. A010032, A109159.

Sequence in context: A253681 A178800 A031669 * A248445 A339796 A251978

Adjacent sequences: A028236 A028237 A028238 * A028240 A028241 A028242

Keyword

nonn,fini,full

Author

N. J. A. Sloane

Status

approved