Information on Result #714905

Linear OA(873, 511, F8, 28) (dual of [511, 438, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29

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(873, 464, F8, 2, 28) (dual of [(464, 2), 855, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(873, 464, F8, 3, 28) (dual of [(464, 3), 1319, 29]-NRT-code) [i]
3Digital (45, 73, 464)-net over F8 [i]
4Linear OA(8141, 578, F8, 44) (dual of [578, 437, 45]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(8142, 580, F8, 44) (dual of [580, 438, 45]-code) [i]✔
6Linear OA(881, 525, F8, 30) (dual of [525, 444, 31]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(876, 517, F8, 29) (dual of [517, 441, 30]-code) [i]✔
8Linear OA(885, 527, F8, 31) (dual of [527, 442, 32]-code) [i]✔
9Linear OA(880, 521, F8, 30) (dual of [521, 441, 31]-code) [i]✔
10Linear OA(8114, 567, F8, 36) (dual of [567, 453, 37]-code) [i]✔
11Linear OA(8113, 562, F8, 36) (dual of [562, 449, 37]-code) [i]✔
12Linear OA(890, 534, F8, 32) (dual of [534, 444, 33]-code) [i]✔
13Linear OA(884, 523, F8, 31) (dual of [523, 439, 32]-code) [i]✔
14Linear OA(8118, 568, F8, 37) (dual of [568, 450, 38]-code) [i]✔
15Linear OA(8113, 563, F8, 36) (dual of [563, 450, 37]-code) [i]✔
16Linear OA(889, 530, F8, 32) (dual of [530, 441, 33]-code) [i]✔
17Linear OA(8107, 547, F8, 36) (dual of [547, 440, 37]-code) [i]✔
18Linear OA(8108, 552, F8, 36) (dual of [552, 444, 37]-code) [i]✔
19Linear OA(8106, 545, F8, 36) (dual of [545, 439, 37]-code) [i]✔
20Linear OA(8105, 542, F8, 36) (dual of [542, 437, 37]-code) [i]✔
21Linear OA(8107, 548, F8, 36) (dual of [548, 441, 37]-code) [i]✔
22Linear OA(879, 517, F8, 30) (dual of [517, 438, 31]-code) [i]✔
23Linear OA(883, 521, F8, 31) (dual of [521, 438, 32]-code) [i]✔
24Linear OA(887, 523, F8, 32) (dual of [523, 436, 33]-code) [i]✔
25Linear OA(8110, 548, F8, 37) (dual of [548, 438, 38]-code) [i]✔
26Linear OA(887, 525, F8, 32) (dual of [525, 438, 33]-code) [i]✔
27Linear OA(8114, 552, F8, 38) (dual of [552, 438, 39]-code) [i]✔
28Linear OA(8112, 545, F8, 38) (dual of [545, 433, 39]-code) [i]✔
29Linear OA(8111, 542, F8, 38) (dual of [542, 431, 39]-code) [i]✔
30Linear OA(8116, 554, F8, 39) (dual of [554, 438, 40]-code) [i]✔
31Linear OA(8125, 563, F8, 41) (dual of [563, 438, 42]-code) [i]✔
32Linear OA(8120, 558, F8, 40) (dual of [558, 438, 41]-code) [i]✔
33Linear OA(8129, 567, F8, 42) (dual of [567, 438, 43]-code) [i]✔
34Linear OA(8128, 562, F8, 42) (dual of [562, 434, 43]-code) [i]✔
35Linear OA(8126, 557, F8, 42) (dual of [557, 431, 43]-code) [i]✔
36Linear OA(8133, 568, F8, 43) (dual of [568, 435, 44]-code) [i]✔
37Linear OA(8141, 579, F8, 44) (dual of [579, 438, 45]-code) [i]✔