Information on Result #714898

Linear OA(867, 511, F8, 26) (dual of [511, 444, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27

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(867, 413, F8, 2, 26) (dual of [(413, 2), 759, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(867, 413, F8, 3, 26) (dual of [(413, 3), 1172, 27]-NRT-code) [i]
3Digital (41, 67, 413)-net over F8 [i]
4Linear OA(8135, 578, F8, 42) (dual of [578, 443, 43]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(899, 558, F8, 32) (dual of [558, 459, 33]-code) [i]✔Construction XX with Cyclic Codes
6Linear OA(870, 517, F8, 27) (dual of [517, 447, 28]-code) [i]✔
7Linear OA(898, 554, F8, 32) (dual of [554, 456, 33]-code) [i]✔
8Linear OA(885, 535, F8, 30) (dual of [535, 450, 31]-code) [i]✔
9Linear OA(874, 521, F8, 28) (dual of [521, 447, 29]-code) [i]✔
10Linear OA(8108, 567, F8, 34) (dual of [567, 459, 35]-code) [i]✔
11Linear OA(8107, 562, F8, 34) (dual of [562, 455, 35]-code) [i]✔
12Linear OA(8105, 557, F8, 34) (dual of [557, 452, 35]-code) [i]✔
13Linear OA(896, 549, F8, 32) (dual of [549, 453, 33]-code) [i]✔
14Linear OA(879, 526, F8, 29) (dual of [526, 447, 30]-code) [i]✔
15Linear OA(878, 523, F8, 29) (dual of [523, 445, 30]-code) [i]✔
16Linear OA(8112, 568, F8, 35) (dual of [568, 456, 36]-code) [i]✔
17Linear OA(8107, 563, F8, 34) (dual of [563, 456, 35]-code) [i]✔
18Linear OA(894, 544, F8, 32) (dual of [544, 450, 33]-code) [i]✔
19Linear OA(883, 530, F8, 30) (dual of [530, 447, 31]-code) [i]✔
20Linear OA(8105, 558, F8, 34) (dual of [558, 453, 35]-code) [i]✔
21Linear OA(888, 535, F8, 31) (dual of [535, 447, 32]-code) [i]✔
22Linear OA(8103, 553, F8, 34) (dual of [553, 450, 35]-code) [i]✔
23Linear OA(892, 539, F8, 32) (dual of [539, 447, 33]-code) [i]✔
24Linear OA(8101, 548, F8, 34) (dual of [548, 447, 35]-code) [i]✔
25Linear OA(873, 517, F8, 28) (dual of [517, 444, 29]-code) [i]✔
26Linear OA(877, 521, F8, 29) (dual of [521, 444, 30]-code) [i]✔
27Linear OA(881, 523, F8, 30) (dual of [523, 442, 31]-code) [i]✔
28Linear OA(886, 530, F8, 31) (dual of [530, 444, 32]-code) [i]✔
29Linear OA(891, 535, F8, 32) (dual of [535, 444, 33]-code) [i]✔
30Linear OA(8104, 548, F8, 35) (dual of [548, 444, 36]-code) [i]✔
31Linear OA(881, 525, F8, 30) (dual of [525, 444, 31]-code) [i]✔
32Linear OA(885, 527, F8, 31) (dual of [527, 442, 32]-code) [i]✔
33Linear OA(890, 534, F8, 32) (dual of [534, 444, 33]-code) [i]✔
34Linear OA(8108, 552, F8, 36) (dual of [552, 444, 37]-code) [i]✔
35Linear OA(8106, 545, F8, 36) (dual of [545, 439, 37]-code) [i]✔
36Linear OA(8105, 542, F8, 36) (dual of [542, 437, 37]-code) [i]✔
37Linear OA(8110, 547, F8, 37) (dual of [547, 437, 38]-code) [i]✔
38Linear OA(8117, 561, F8, 38) (dual of [561, 444, 39]-code) [i]✔
39Linear OA(8114, 551, F8, 38) (dual of [551, 437, 39]-code) [i]✔
40Linear OA(8122, 566, F8, 39) (dual of [566, 444, 40]-code) [i]✔
41Linear OA(8135, 579, F8, 42) (dual of [579, 444, 43]-code) [i]✔