Information on Result #714951

Linear OA(821, 511, F8, 8) (dual of [511, 490, 9]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(821, 435, F8, 2, 8) (dual of [(435, 2), 849, 9]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(821, 435, F8, 3, 8) (dual of [(435, 3), 1284, 9]-NRT-code) [i]
3Digital (13, 21, 435)-net over F8 [i]
4Linear OA(826, 517, F8, 8) (dual of [517, 491, 9]-code) [i](u, u−v, u+v+w)-Construction
5Linear OA(823, 537, F8, 8) (dual of [537, 514, 9]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(824, 629, F8, 8) (dual of [629, 605, 9]-code) [i]
7Linear OA(825, 819, F8, 8) (dual of [819, 794, 9]-code) [i]
8Linear OA(826, 1096, F8, 8) (dual of [1096, 1070, 9]-code) [i]
9Linear OA(825, 525, F8, 8) (dual of [525, 500, 9]-code) [i]✔Construction XX with Cyclic Codes
10Linear OA(837, 533, F8, 12) (dual of [533, 496, 13]-code) [i]✔
11Linear OA(836, 529, F8, 12) (dual of [529, 493, 13]-code) [i]✔
12Linear OA(845, 538, F8, 14) (dual of [538, 493, 15]-code) [i]✔
13Linear OA(833, 523, F8, 12) (dual of [523, 490, 13]-code) [i]✔
14Linear OA(837, 527, F8, 13) (dual of [527, 490, 14]-code) [i]✔
15Linear OA(842, 532, F8, 14) (dual of [532, 490, 15]-code) [i]✔
16Linear OA(851, 541, F8, 16) (dual of [541, 490, 17]-code) [i]✔
17Linear OOA(821, 255, F8, 2, 8) (dual of [(255, 2), 489, 9]-NRT-code) [i]OOA Folding
18Linear OOA(821, 170, F8, 3, 8) (dual of [(170, 3), 489, 9]-NRT-code) [i]