Information on Result #615232

Linear OA(855, 64, F8, 45) (dual of [64, 9, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45

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(855, 64, F8, 44) (dual of [64, 9, 45]-code) [i]Strength Reduction
2Linear OA(855, 64, F8, 43) (dual of [64, 9, 44]-code) [i]
3Linear OA(8119, 128, F8, 91) (dual of [128, 9, 92]-code) [i]Repeating Each Code Word
4Linear OA(8129, 138, F8, 95) (dual of [138, 9, 96]-code) [i]Juxtaposition
5Linear OA(8125, 134, F8, 94) (dual of [134, 9, 95]-code) [i]
6Linear OA(8129, 138, F8, 97) (dual of [138, 9, 98]-code) [i]
7Linear OA(8134, 143, F8, 101) (dual of [143, 9, 102]-code) [i]
8Linear OA(8128, 137, F8, 97) (dual of [137, 9, 98]-code) [i]
9Linear OA(8171, 180, F8, 131) (dual of [180, 9, 132]-code) [i]
10Linear OA(8133, 142, F8, 101) (dual of [142, 9, 102]-code) [i]
11Linear OA(859, 68, F8, 47) (dual of [68, 9, 48]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
12Linear OA(862, 75, F8, 45) (dual of [75, 13, 46]-code) [i]✔
13Linear OA(860, 73, F8, 44) (dual of [73, 13, 45]-code) [i]✔
14Linear OA(869, 78, F8, 54) (dual of [78, 9, 55]-code) [i]✔
15Linear OA(864, 73, F8, 50) (dual of [73, 9, 51]-code) [i]✔
16Linear OA(863, 78, F8, 45) (dual of [78, 15, 46]-code) [i]✔
17Linear OA(872, 81, F8, 55) (dual of [81, 9, 56]-code) [i]✔
18Linear OA(865, 81, F8, 45) (dual of [81, 16, 46]-code) [i]✔
19Linear OA(862, 78, F8, 43) (dual of [78, 16, 44]-code) [i]✔
20Linear OA(886, 95, F8, 63) (dual of [95, 9, 64]-code) [i]✔
21Linear OA(882, 91, F8, 61) (dual of [91, 9, 62]-code) [i]✔
22Linear OA(879, 88, F8, 59) (dual of [88, 9, 60]-code) [i]✔
23Linear OA(872, 90, F8, 45) (dual of [90, 18, 46]-code) [i]✔
24Linear OA(870, 88, F8, 44) (dual of [88, 18, 45]-code) [i]✔
25Linear OA(872, 91, F8, 44) (dual of [91, 19, 45]-code) [i]✔
26Linear OA(874, 94, F8, 44) (dual of [94, 20, 45]-code) [i]✔
27Linear OA(883, 92, F8, 62) (dual of [92, 9, 63]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
28Linear OA(880, 89, F8, 60) (dual of [89, 9, 61]-code) [i]✔
29Linear OA(865, 74, F8, 51) (dual of [74, 9, 52]-code) [i]✔
30Linear OA(874, 84, F8, 53) (dual of [84, 10, 54]-code) [i]✔
31Linear OA(860, 74, F8, 43) (dual of [74, 14, 44]-code) [i]✔
32Linear OA(863, 79, F8, 44) (dual of [79, 16, 45]-code) [i]✔
33Linear OA(859, 75, F8, 41) (dual of [75, 16, 42]-code) [i]✔
34Linear OA(869, 86, F8, 44) (dual of [86, 17, 45]-code) [i]✔
35Linear OA(875, 95, F8, 45) (dual of [95, 20, 46]-code) [i]✔
36Linear OA(874, 93, F8, 45) (dual of [93, 19, 46]-code) [i]✔
37Linear OA(873, 92, F8, 45) (dual of [92, 19, 46]-code) [i]✔
38Linear OA(875, 96, F8, 44) (dual of [96, 21, 45]-code) [i]✔
39Linear OA(864, 80, F8, 45) (dual of [80, 16, 46]-code) [i]✔
40Linear OOA(855, 32, F8, 2, 45) (dual of [(32, 2), 9, 46]-NRT-code) [i]OOA Folding