A112641 Weight distribution of quadratic residue code of length 23 over GF(3).

1, 0, 0, 0, 0, 0, 0, 0, 1518, 2530, 0, 30912, 30912, 0, 151800, 91080, 0, 148764, 49588, 0, 21252, 3036, 0, 48

Offset

0,9

References

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 620.

Links

Table of n, a(n) for n=0..23.

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

Example

x^23 + 1518*x^15*y^8 + 2530*x^14*y^9 + 30912*x^12*y^11 + 30912*x^11*y^12 + 151800*x^9*y^14 + 91080*x^8*y^15 + 148764*x^6*y^17 + 49588*x^5*y^18 + 21252*x^3*y^20 + 3036*x^2*y^21 + 48*y^23;

Prog

(Magma) C:=QRCode(GF(3), 23); W<x, y>:=WeightEnumerator(C); W;

Crossrefs

Cf. A001382 (the extended code).

Sequence in context: A236724 A206654 A356767 * A203386 A157375 A331659

Adjacent sequences: A112638 A112639 A112640 * A112642 A112643 A112644

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Dec 23 2006

Status

approved