Information on Result #715488

Linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23

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(858, 434, F8, 2, 22) (dual of [(434, 2), 810, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(858, 434, F8, 3, 22) (dual of [(434, 3), 1244, 23]-NRT-code) [i]
3Digital (36, 58, 434)-net over F8 [i]
4Linear OA(866, 525, F8, 24) (dual of [525, 459, 25]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(861, 517, F8, 23) (dual of [517, 456, 24]-code) [i]✔
6Linear OA(865, 521, F8, 24) (dual of [521, 456, 25]-code) [i]✔
7Linear OA(896, 561, F8, 30) (dual of [561, 465, 31]-code) [i]✔
8Linear OA(893, 551, F8, 30) (dual of [551, 458, 31]-code) [i]✔
9Linear OA(892, 547, F8, 30) (dual of [547, 455, 31]-code) [i]✔
10Linear OA(893, 552, F8, 30) (dual of [552, 459, 31]-code) [i]✔
11Linear OA(891, 545, F8, 30) (dual of [545, 454, 31]-code) [i]✔
12Linear OA(890, 542, F8, 30) (dual of [542, 452, 31]-code) [i]✔
13Linear OA(892, 548, F8, 30) (dual of [548, 456, 31]-code) [i]✔
14Linear OA(864, 517, F8, 24) (dual of [517, 453, 25]-code) [i]✔
15Linear OA(895, 548, F8, 31) (dual of [548, 453, 32]-code) [i]✔
16Linear OA(882, 535, F8, 29) (dual of [535, 453, 30]-code) [i]✔
17Linear OA(891, 544, F8, 31) (dual of [544, 453, 32]-code) [i]✔
18Linear OA(8100, 553, F8, 33) (dual of [553, 453, 34]-code) [i]✔
19Linear OA(898, 551, F8, 32) (dual of [551, 453, 33]-code) [i]✔
20Linear OA(896, 549, F8, 32) (dual of [549, 453, 33]-code) [i]✔
21Linear OA(8105, 558, F8, 34) (dual of [558, 453, 35]-code) [i]✔
22Linear OA(8110, 563, F8, 35) (dual of [563, 453, 36]-code) [i]✔
23Linear OA(8114, 567, F8, 36) (dual of [567, 453, 37]-code) [i]✔
24Linear OA(8113, 562, F8, 36) (dual of [562, 449, 37]-code) [i]✔
25Linear OA(8118, 568, F8, 37) (dual of [568, 450, 38]-code) [i]✔