Information on Result #615060

Linear OA(839, 64, F8, 27) (dual of [64, 25, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27

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(839, 64, F8, 26) (dual of [64, 25, 27]-code) [i]Strength Reduction
2Linear OA(8103, 128, F8, 55) (dual of [128, 25, 56]-code) [i]Repeating Each Code Word
3Linear OA(848, 84, F8, 27) (dual of [84, 36, 28]-code) [i]VarÅ¡amov–Edel Lengthening
4Linear OA(842, 69, F8, 27) (dual of [69, 27, 28]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(843, 68, F8, 29) (dual of [68, 25, 30]-code) [i]✔
6Linear OA(843, 72, F8, 27) (dual of [72, 29, 28]-code) [i]✔
7Linear OA(846, 71, F8, 30) (dual of [71, 25, 31]-code) [i]✔
8Linear OA(845, 76, F8, 27) (dual of [76, 31, 28]-code) [i]✔
9Linear OA(843, 73, F8, 26) (dual of [73, 30, 27]-code) [i]✔
10Linear OA(842, 73, F8, 25) (dual of [73, 31, 26]-code) [i]✔
11Linear OA(849, 74, F8, 31) (dual of [74, 25, 32]-code) [i]✔
12Linear OA(846, 78, F8, 27) (dual of [78, 32, 28]-code) [i]✔
13Linear OA(847, 80, F8, 27) (dual of [80, 33, 28]-code) [i]✔
14Linear OA(845, 78, F8, 26) (dual of [78, 33, 27]-code) [i]✔
15Linear OA(842, 74, F8, 24) (dual of [74, 32, 25]-code) [i]✔
16Linear OA(859, 84, F8, 36) (dual of [84, 25, 37]-code) [i]✔
17Linear OA(856, 81, F8, 34) (dual of [81, 25, 35]-code) [i]✔
18Linear OA(849, 84, F8, 27) (dual of [84, 35, 28]-code) [i]✔
19Linear OA(847, 81, F8, 26) (dual of [81, 34, 27]-code) [i]✔
20Linear OA(846, 81, F8, 25) (dual of [81, 35, 26]-code) [i]✔
21Linear OA(844, 78, F8, 24) (dual of [78, 34, 25]-code) [i]✔
22Linear OA(861, 86, F8, 37) (dual of [86, 25, 38]-code) [i]✔
23Linear OA(850, 86, F8, 27) (dual of [86, 36, 28]-code) [i]✔
24Linear OA(846, 82, F8, 24) (dual of [82, 36, 25]-code) [i]✔
25Linear OA(865, 90, F8, 38) (dual of [90, 25, 39]-code) [i]✔
26Linear OA(846, 79, F8, 27) (dual of [79, 33, 28]-code) [i]✔
27Linear OA(858, 83, F8, 36) (dual of [83, 25, 37]-code) [i]✔
28Linear OA(848, 83, F8, 27) (dual of [83, 35, 28]-code) [i]✔
29Linear OA(845, 80, F8, 25) (dual of [80, 35, 26]-code) [i]✔
30Linear OA(864, 89, F8, 38) (dual of [89, 25, 39]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
31Linear OA(866, 93, F8, 37) (dual of [93, 27, 38]-code) [i]✔
32Linear OA(865, 91, F8, 37) (dual of [91, 26, 38]-code) [i]✔
33Linear OA(857, 82, F8, 35) (dual of [82, 25, 36]-code) [i]✔
34Linear OA(854, 79, F8, 33) (dual of [79, 25, 34]-code) [i]✔
35Linear OA(864, 91, F8, 36) (dual of [91, 27, 37]-code) [i]✔
36Linear OA(863, 89, F8, 36) (dual of [89, 26, 37]-code) [i]✔
37Linear OA(867, 96, F8, 36) (dual of [96, 29, 37]-code) [i]✔
38Linear OA(866, 94, F8, 36) (dual of [94, 28, 37]-code) [i]✔
39Linear OA(844, 74, F8, 27) (dual of [74, 30, 28]-code) [i]✔
40Linear OA(843, 75, F8, 25) (dual of [75, 32, 26]-code) [i]✔
41Linear OA(848, 82, F8, 27) (dual of [82, 34, 28]-code) [i]✔
42Linear OA(845, 79, F8, 25) (dual of [79, 34, 26]-code) [i]✔
43Linear OA(847, 83, F8, 25) (dual of [83, 36, 26]-code) [i]✔
44Linear OA(853, 90, F8, 27) (dual of [90, 37, 28]-code) [i]✔
45Linear OA(860, 85, F8, 37) (dual of [85, 25, 38]-code) [i]✔
46Linear OA(855, 80, F8, 34) (dual of [80, 25, 35]-code) [i]✔
47Linear OA(846, 80, F8, 26) (dual of [80, 34, 27]-code) [i]✔
48Linear OA(848, 84, F8, 26) (dual of [84, 36, 27]-code) [i]✔
49Linear OOA(839, 32, F8, 2, 27) (dual of [(32, 2), 25, 28]-NRT-code) [i]OOA Folding