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A112641 Weight distribution of quadratic residue code of length 23 over GF(3). 1
1, 0, 0, 0, 0, 0, 0, 0, 1518, 2530, 0, 30912, 30912, 0, 151800, 91080, 0, 148764, 49588, 0, 21252, 3036, 0, 48 (list; graph; refs; listen; history; text; internal format)
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: A257753 A236724 A206654 * 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

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Last modified January 22 10:13 EST 2022. Contains 350481 sequences. (Running on oeis4.)