Information on Result #687986

Linear OA(855, 512, F8, 21) (dual of [512, 457, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(858, 515, F8, 22) (dual of [515, 457, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(855, 515, F8, 21) (dual of [515, 460, 22]-code) [i]✔
3Linear OA(867, 522, F8, 25) (dual of [522, 455, 26]-code) [i]✔
4Linear OA(868, 525, F8, 25) (dual of [525, 457, 26]-code) [i]✔
5Linear OA(858, 524, F8, 21) (dual of [524, 466, 22]-code) [i]✔
6Linear OA(873, 530, F8, 26) (dual of [530, 457, 27]-code) [i]✔
7Linear OA(877, 534, F8, 27) (dual of [534, 457, 28]-code) [i]✔
8Linear OA(862, 534, F8, 21) (dual of [534, 472, 22]-code) [i]✔
9Linear OA(883, 538, F8, 28) (dual of [538, 455, 29]-code) [i]✔
10Linear OA(884, 541, F8, 28) (dual of [541, 457, 29]-code) [i]✔
11Linear OA(866, 541, F8, 21) (dual of [541, 475, 22]-code) [i]✔
12Linear OA(889, 546, F8, 29) (dual of [546, 457, 30]-code) [i]✔
13Linear OA(893, 550, F8, 30) (dual of [550, 457, 31]-code) [i]✔
14Linear OA(897, 554, F8, 31) (dual of [554, 457, 32]-code) [i]✔
15Linear OA(8108, 565, F8, 34) (dual of [565, 457, 35]-code) [i]✔
16Linear OA(888, 543, F8, 29) (dual of [543, 455, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
17Linear OA(883, 540, F8, 28) (dual of [540, 457, 29]-code) [i]✔
18Linear OA(882, 538, F8, 28) (dual of [538, 456, 29]-code) [i]✔
19Linear OA(881, 536, F8, 28) (dual of [536, 455, 29]-code) [i]✔
20Linear OA(880, 540, F8, 27) (dual of [540, 460, 28]-code) [i]✔
21Linear OA(879, 538, F8, 27) (dual of [538, 459, 28]-code) [i]✔
22Linear OA(878, 536, F8, 27) (dual of [536, 458, 28]-code) [i]✔
23Linear OA(882, 543, F8, 27) (dual of [543, 461, 28]-code) [i]✔
24Linear OA(872, 527, F8, 26) (dual of [527, 455, 27]-code) [i]✔
25Linear OA(869, 527, F8, 25) (dual of [527, 458, 26]-code) [i]✔
26Linear OA(865, 540, F8, 21) (dual of [540, 475, 22]-code) [i]✔
27Linear OA(864, 538, F8, 21) (dual of [538, 474, 22]-code) [i]✔
28Linear OA(863, 536, F8, 21) (dual of [536, 473, 22]-code) [i]✔
29Linear OA(867, 543, F8, 21) (dual of [543, 476, 22]-code) [i]✔