Information on Result #614981

Linear OA(855, 513, F8, 21) (dual of [513, 458, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(866, 527, F8, 21) (dual of [527, 461, 22]-code) [i](u, u+v)-Construction
2Linear OA(867, 530, F8, 21) (dual of [530, 463, 22]-code) [i]
3Linear OA(864, 523, F8, 21) (dual of [523, 459, 22]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(862, 520, F8, 23) (dual of [520, 458, 24]-code) [i]✔
5Linear OA(856, 520, F8, 21) (dual of [520, 464, 22]-code) [i]✔
6Linear OA(870, 523, F8, 25) (dual of [523, 453, 26]-code) [i]✔
7Linear OA(871, 529, F8, 25) (dual of [529, 458, 26]-code) [i]✔
8Linear OA(858, 523, F8, 21) (dual of [523, 465, 22]-code) [i]✔
9Linear OA(859, 529, F8, 21) (dual of [529, 470, 22]-code) [i]✔
10Linear OA(880, 538, F8, 27) (dual of [538, 458, 28]-code) [i]✔
11Linear OA(865, 537, F8, 21) (dual of [537, 472, 22]-code) [i]✔
12Linear OA(866, 540, F8, 21) (dual of [540, 474, 22]-code) [i]✔
13Linear OA(867, 542, F8, 21) (dual of [542, 475, 22]-code) [i]✔
14Linear OA(892, 550, F8, 29) (dual of [550, 458, 30]-code) [i]✔
15Linear OA(890, 548, F8, 28) (dual of [548, 458, 29]-code) [i]✔
16Linear OA(8103, 561, F8, 33) (dual of [561, 458, 34]-code) [i]✔
17Linear OA(8101, 559, F8, 32) (dual of [559, 458, 33]-code) [i]✔
18Linear OA(8113, 571, F8, 35) (dual of [571, 458, 36]-code) [i]✔
19Linear OA(891, 547, F8, 29) (dual of [547, 456, 30]-code) [i]✔Construction XX with a Chain of Cyclic Codes
20Linear OA(890, 545, F8, 29) (dual of [545, 455, 30]-code) [i]✔
21Linear OA(889, 543, F8, 29) (dual of [543, 454, 30]-code) [i]✔
22Linear OA(888, 541, F8, 29) (dual of [541, 453, 30]-code) [i]✔
23Linear OA(879, 532, F8, 27) (dual of [532, 453, 28]-code) [i]✔
24Linear OA(885, 547, F8, 27) (dual of [547, 462, 28]-code) [i]✔
25Linear OA(884, 545, F8, 27) (dual of [545, 461, 28]-code) [i]✔
26Linear OA(883, 543, F8, 27) (dual of [543, 460, 28]-code) [i]✔
27Linear OA(882, 541, F8, 27) (dual of [541, 459, 28]-code) [i]✔
28Linear OA(873, 532, F8, 25) (dual of [532, 459, 26]-code) [i]✔
29Linear OA(865, 538, F8, 21) (dual of [538, 473, 22]-code) [i]✔
30Linear OA(864, 536, F8, 21) (dual of [536, 472, 22]-code) [i]✔
31Linear OA(863, 534, F8, 21) (dual of [534, 471, 22]-code) [i]✔