Information on Result #715414

Linear OA(852, 511, F8, 20) (dual of [511, 459, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21

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(852, 381, F8, 2, 20) (dual of [(381, 2), 710, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(852, 381, F8, 3, 20) (dual of [(381, 3), 1091, 21]-NRT-code) [i]
3Digital (32, 52, 381)-net over F8 [i]
4Linear OA(860, 525, F8, 22) (dual of [525, 465, 23]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(855, 517, F8, 21) (dual of [517, 462, 22]-code) [i]✔
6Linear OA(864, 527, F8, 23) (dual of [527, 463, 24]-code) [i]✔
7Linear OA(859, 521, F8, 22) (dual of [521, 462, 23]-code) [i]✔
8Linear OA(869, 534, F8, 24) (dual of [534, 465, 25]-code) [i]✔
9Linear OA(863, 523, F8, 23) (dual of [523, 460, 24]-code) [i]✔
10Linear OA(868, 530, F8, 24) (dual of [530, 462, 25]-code) [i]✔
11Linear OA(886, 547, F8, 28) (dual of [547, 461, 29]-code) [i]✔
12Linear OA(887, 552, F8, 28) (dual of [552, 465, 29]-code) [i]✔
13Linear OA(885, 545, F8, 28) (dual of [545, 460, 29]-code) [i]✔
14Linear OA(884, 542, F8, 28) (dual of [542, 458, 29]-code) [i]✔
15Linear OA(886, 548, F8, 28) (dual of [548, 462, 29]-code) [i]✔
16Linear OA(858, 517, F8, 22) (dual of [517, 459, 23]-code) [i]✔
17Linear OA(862, 521, F8, 23) (dual of [521, 459, 24]-code) [i]✔
18Linear OA(866, 523, F8, 24) (dual of [523, 457, 25]-code) [i]✔
19Linear OA(889, 548, F8, 29) (dual of [548, 459, 30]-code) [i]✔
20Linear OA(866, 525, F8, 24) (dual of [525, 459, 25]-code) [i]✔
21Linear OA(893, 552, F8, 30) (dual of [552, 459, 31]-code) [i]✔
22Linear OA(891, 545, F8, 30) (dual of [545, 454, 31]-code) [i]✔
23Linear OA(890, 542, F8, 30) (dual of [542, 452, 31]-code) [i]✔
24Linear OA(895, 554, F8, 31) (dual of [554, 459, 32]-code) [i]✔
25Linear OA(8104, 563, F8, 33) (dual of [563, 459, 34]-code) [i]✔
26Linear OA(899, 558, F8, 32) (dual of [558, 459, 33]-code) [i]✔
27Linear OA(8108, 567, F8, 34) (dual of [567, 459, 35]-code) [i]✔
28Linear OA(8107, 562, F8, 34) (dual of [562, 455, 35]-code) [i]✔
29Linear OA(8105, 557, F8, 34) (dual of [557, 452, 35]-code) [i]✔
30Linear OA(8112, 568, F8, 35) (dual of [568, 456, 36]-code) [i]✔