Information on Result #687647

Linear OA(837, 513, F8, 13) (dual of [513, 476, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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 OA(846, 522, F8, 17) (dual of [522, 476, 18]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(838, 520, F8, 13) (dual of [520, 482, 14]-code) [i]✔
3Linear OA(855, 527, F8, 19) (dual of [527, 472, 20]-code) [i]✔
4Linear OA(856, 532, F8, 19) (dual of [532, 476, 20]-code) [i]✔
5Linear OA(854, 527, F8, 18) (dual of [527, 473, 19]-code) [i]✔
6Linear OA(840, 523, F8, 13) (dual of [523, 483, 14]-code) [i]✔
7Linear OA(841, 529, F8, 13) (dual of [529, 488, 14]-code) [i]✔
8Linear OA(865, 537, F8, 21) (dual of [537, 472, 22]-code) [i]✔
9Linear OA(866, 540, F8, 21) (dual of [540, 474, 22]-code) [i]✔
10Linear OA(867, 542, F8, 21) (dual of [542, 475, 22]-code) [i]✔
11Linear OA(875, 549, F8, 23) (dual of [549, 474, 24]-code) [i]✔Construction XX with a Chain of Cyclic Codes
12Linear OA(874, 547, F8, 23) (dual of [547, 473, 24]-code) [i]✔
13Linear OA(873, 545, F8, 23) (dual of [545, 472, 24]-code) [i]✔
14Linear OA(872, 543, F8, 23) (dual of [543, 471, 24]-code) [i]✔
15Linear OA(865, 538, F8, 21) (dual of [538, 473, 22]-code) [i]✔
16Linear OA(864, 536, F8, 21) (dual of [536, 472, 22]-code) [i]✔
17Linear OA(863, 534, F8, 21) (dual of [534, 471, 22]-code) [i]✔
18Linear OA(854, 525, F8, 19) (dual of [525, 471, 20]-code) [i]✔
19Linear OA(858, 535, F8, 19) (dual of [535, 477, 20]-code) [i]✔
20Linear OA(848, 525, F8, 17) (dual of [525, 477, 18]-code) [i]✔