A146953 Weight distribution of [256,93,32] Reed-Muller (or RM) code.

1, 0, 0, 0, 0, 0, 0, 0, 777240, 0, 0, 0, 2698577280, 0, 304296714240, 0, 74984804718940, 707415842488320, 28055013884190720, 764244915168215040, 20661827603503720320, 414411510493363568640, 6266131517201901649920

Offset

0,9

Comments

Taken from the Terada-Asatani-Koumoto web site.

Links

Georg Fischer, Table of n, a(n) for n = 0..64

Claude Carlet and Patrick Solé, The weight spectrum of two families of Reed-Muller codes, Disc. Math. (2023) Vol. 346, Iss. 10, Art. 113568. See also hal-04127551, 2023.

M. Terada, J. Asatani and T. Koumoto, Weight Distribution

Example

The weight distribution is:
i A_i
0 1
32 777240
48 2698577280
56 304296714240
64 74984804718940
68 707415842488320
72 28055013884190720
76 764244915168215040
80 20661827603503720320
84 414411510493363568640
88 6266131517201901649920
92 71773299826457585909760
96 627671543662325464743336
100 4208997665316969256058880
104 21729945674277436342763520
108 86666254361102444207800320
112 267788217345284850768843520
116 642477460725187489919139840
120 1198959833392658891791089664
124 1742452898879489085360046080
128 1973540804513554426870962630
132 1742452898879489085360046080
136 1198959833392658891791089664
140 642477460725187489919139840
144 267788217345284850768843520
148 86666254361102444207800320
152 21729945674277436342763520
156 4208997665316969256058880
160 627671543662325464743336
164 71773299826457585909760
168 6266131517201901649920
172 414411510493363568640
176 20661827603503720320
180 764244915168215040
184 28055013884190720
188 707415842488320
192 74984804718940
200 304296714240
208 2698577280
224 777240
256 1

Crossrefs

Sequence in context: A145687 A244071 A157357 * A257757 A250690 A233948

Adjacent sequences: A146950 A146951 A146952 * A146954 A146955 A146956

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Apr 23 2009

Extensions

Zeroes inserted by Georg Fischer, Jul 16 2020

Status

approved