Information on Result #687641

Linear OA(867, 513, F8, 25) (dual of [513, 446, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound)

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(867, 513, F8, 2, 25) (dual of [(513, 2), 959, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(867, 513, F8, 3, 25) (dual of [(513, 3), 1472, 26]-NRT-code) [i]
3Digital (42, 67, 513)-net over F8 [i]
4Linear OA(874, 520, F8, 27) (dual of [520, 446, 28]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(868, 520, F8, 25) (dual of [520, 452, 26]-code) [i]✔
6Linear OA(882, 523, F8, 29) (dual of [523, 441, 30]-code) [i]✔
7Linear OA(883, 529, F8, 29) (dual of [529, 446, 30]-code) [i]✔
8Linear OA(870, 523, F8, 25) (dual of [523, 453, 26]-code) [i]✔
9Linear OA(871, 529, F8, 25) (dual of [529, 458, 26]-code) [i]✔
10Linear OA(895, 537, F8, 33) (dual of [537, 442, 34]-code) [i]✔
11Linear OA(896, 540, F8, 33) (dual of [540, 444, 34]-code) [i]✔
12Linear OA(897, 542, F8, 33) (dual of [542, 445, 34]-code) [i]✔
13Linear OA(898, 544, F8, 33) (dual of [544, 446, 34]-code) [i]✔
14Linear OA(894, 537, F8, 32) (dual of [537, 443, 33]-code) [i]✔
15Linear OA(896, 542, F8, 32) (dual of [542, 446, 33]-code) [i]✔
16Linear OA(892, 538, F8, 31) (dual of [538, 446, 32]-code) [i]✔
17Linear OA(874, 538, F8, 25) (dual of [538, 464, 26]-code) [i]✔
18Linear OA(8106, 552, F8, 35) (dual of [552, 446, 36]-code) [i]✔
19Linear OA(878, 548, F8, 24) (dual of [548, 470, 25]-code) [i]✔
20Linear OA(8115, 561, F8, 37) (dual of [561, 446, 38]-code) [i]✔
21Linear OA(8113, 559, F8, 36) (dual of [559, 446, 37]-code) [i]✔
22Linear OA(8125, 571, F8, 39) (dual of [571, 446, 40]-code) [i]✔
23Linear OA(8123, 569, F8, 38) (dual of [569, 446, 39]-code) [i]✔
24Linear OA(8104, 545, F8, 34) (dual of [545, 441, 35]-code) [i]✔Construction XX with a Chain of Cyclic Codes
25Linear OA(894, 535, F8, 33) (dual of [535, 441, 34]-code) [i]✔
26Linear OA(891, 532, F8, 31) (dual of [532, 441, 32]-code) [i]✔
27Linear OA(897, 547, F8, 31) (dual of [547, 450, 32]-code) [i]✔
28Linear OA(896, 545, F8, 31) (dual of [545, 449, 32]-code) [i]✔
29Linear OA(895, 543, F8, 31) (dual of [543, 448, 32]-code) [i]✔
30Linear OA(898, 545, F8, 32) (dual of [545, 447, 33]-code) [i]✔
31Linear OA(894, 541, F8, 31) (dual of [541, 447, 32]-code) [i]✔
32Linear OA(885, 532, F8, 29) (dual of [532, 447, 30]-code) [i]✔
33Linear OA(873, 532, F8, 25) (dual of [532, 459, 26]-code) [i]✔
34Linear OA(879, 547, F8, 25) (dual of [547, 468, 26]-code) [i]✔
35Linear OA(878, 545, F8, 25) (dual of [545, 467, 26]-code) [i]✔
36Linear OA(877, 543, F8, 25) (dual of [543, 466, 26]-code) [i]✔
37Linear OA(876, 541, F8, 25) (dual of [541, 465, 26]-code) [i]✔