login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A010081 Weight distribution of extended Hamming code of length 32 (or 3rd order Reed-Muller code). 1
1, 0, 1240, 27776, 330460, 2011776, 7063784, 14721280, 18796230, 14721280, 7063784, 2011776, 330460, 27776, 1240, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 129.

LINKS

Table of n, a(n) for n=0..16.

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^32+1240*x^28*y^4+27776*x^26*y^6+330460*x^24*y^8+2011776*x^22*y^10+7063784*x^20*y^12+14721280*x^18*y^14+18796230*x^16*y^16+14721280*x^14*y^18+7063784*x^12*y^20+2011776*x^10*y^22+330460*x^8*y^24+27776*x^6*y^26+1240*x^4*y^28+y^32

PROG

(MAGMA) C := ReedMullerCode(3, 5); W<x, y> := WeightEnumerator(C);

CROSSREFS

Sequence in context: A145047 A236974 A237552 * A028514 A099178 A209711

Adjacent sequences:  A010078 A010079 A010080 * A010082 A010083 A010084

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 24 09:37 EDT 2019. Contains 324323 sequences. (Running on oeis4.)