Information on Result #615071

Linear OA(840, 64, F8, 28) (dual of [64, 24, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(8104, 128, F8, 57) (dual of [128, 24, 58]-code) [i]Repeating Each Code Word
2Linear OA(2184, 256, F2, 57) (dual of [256, 72, 58]-code) [i]Concatenation of Two Codes
3Linear OA(842, 66, F8, 29) (dual of [66, 24, 30]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(845, 69, F8, 30) (dual of [69, 24, 31]-code) [i]✔
5Linear OA(844, 71, F8, 28) (dual of [71, 27, 29]-code) [i]✔
6Linear OA(848, 72, F8, 31) (dual of [72, 24, 32]-code) [i]✔
7Linear OA(845, 73, F8, 28) (dual of [73, 28, 29]-code) [i]✔
8Linear OA(846, 75, F8, 28) (dual of [75, 29, 29]-code) [i]✔
9Linear OA(857, 81, F8, 36) (dual of [81, 24, 37]-code) [i]✔
10Linear OA(855, 78, F8, 35) (dual of [78, 23, 36]-code) [i]✔
11Linear OA(854, 78, F8, 34) (dual of [78, 24, 35]-code) [i]✔
12Linear OA(847, 78, F8, 28) (dual of [78, 31, 29]-code) [i]✔
13Linear OA(860, 84, F8, 37) (dual of [84, 24, 38]-code) [i]✔
14Linear OA(849, 81, F8, 28) (dual of [81, 32, 29]-code) [i]✔
15Linear OA(850, 83, F8, 28) (dual of [83, 33, 29]-code) [i]✔
16Linear OA(863, 87, F8, 38) (dual of [87, 24, 39]-code) [i]✔
17Linear OA(851, 86, F8, 28) (dual of [86, 35, 29]-code) [i]✔
18Linear OA(852, 88, F8, 28) (dual of [88, 36, 29]-code) [i]✔
19Linear OA(856, 80, F8, 36) (dual of [80, 24, 37]-code) [i]✔
20Linear OA(859, 83, F8, 37) (dual of [83, 24, 38]-code) [i]✔
21Linear OA(848, 80, F8, 28) (dual of [80, 32, 29]-code) [i]✔
22Linear OA(849, 82, F8, 28) (dual of [82, 33, 29]-code) [i]✔
23Linear OA(850, 84, F8, 28) (dual of [84, 34, 29]-code) [i]✔
24Linear OA(864, 89, F8, 38) (dual of [89, 25, 39]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
25Linear OA(859, 82, F8, 37) (dual of [82, 23, 38]-code) [i]✔
26Linear OA(867, 94, F8, 37) (dual of [94, 27, 38]-code) [i]✔
27Linear OA(856, 79, F8, 36) (dual of [79, 23, 37]-code) [i]✔
28Linear OA(852, 75, F8, 33) (dual of [75, 23, 34]-code) [i]✔
29Linear OA(857, 82, F8, 35) (dual of [82, 25, 36]-code) [i]✔
30Linear OA(854, 79, F8, 33) (dual of [79, 25, 34]-code) [i]✔
31Linear OA(858, 81, F8, 37) (dual of [81, 23, 38]-code) [i]✔
32Linear OA(860, 85, F8, 37) (dual of [85, 25, 38]-code) [i]✔
33Linear OA(855, 80, F8, 34) (dual of [80, 25, 35]-code) [i]✔
34Linear OOA(840, 32, F8, 2, 28) (dual of [(32, 2), 24, 29]-NRT-code) [i]OOA Folding