Information on Result #615146

Linear OA(848, 64, F8, 36) (dual of [64, 16, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36

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(848, 64, F8, 35) (dual of [64, 16, 36]-code) [i]Strength Reduction
2Linear OA(8112, 128, F8, 73) (dual of [128, 16, 74]-code) [i]Repeating Each Code Word
3Linear OA(2208, 256, F2, 73) (dual of [256, 48, 74]-code) [i]Concatenation of Two Codes
4Linear OA(852, 70, F8, 36) (dual of [70, 18, 37]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(852, 68, F8, 38) (dual of [68, 16, 39]-code) [i]✔
6Linear OA(853, 73, F8, 36) (dual of [73, 20, 37]-code) [i]✔
7Linear OA(855, 77, F8, 36) (dual of [77, 22, 37]-code) [i]✔
8Linear OA(865, 81, F8, 45) (dual of [81, 16, 46]-code) [i]✔
9Linear OA(862, 78, F8, 43) (dual of [78, 16, 44]-code) [i]✔
10Linear OA(857, 81, F8, 36) (dual of [81, 24, 37]-code) [i]✔
11Linear OA(855, 78, F8, 35) (dual of [78, 23, 36]-code) [i]✔
12Linear OA(854, 78, F8, 34) (dual of [78, 24, 35]-code) [i]✔
13Linear OA(868, 84, F8, 46) (dual of [84, 16, 47]-code) [i]✔
14Linear OA(859, 84, F8, 36) (dual of [84, 25, 37]-code) [i]✔
15Linear OA(856, 81, F8, 34) (dual of [81, 25, 35]-code) [i]✔
16Linear OA(871, 87, F8, 47) (dual of [87, 16, 48]-code) [i]✔
17Linear OA(864, 90, F8, 36) (dual of [90, 26, 37]-code) [i]✔
18Linear OA(865, 92, F8, 36) (dual of [92, 27, 37]-code) [i]✔
19Linear OA(863, 90, F8, 35) (dual of [90, 27, 36]-code) [i]✔
20Linear OA(856, 80, F8, 36) (dual of [80, 24, 37]-code) [i]✔
21Linear OA(858, 83, F8, 36) (dual of [83, 25, 37]-code) [i]✔
22Linear OA(874, 92, F8, 46) (dual of [92, 18, 47]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
23Linear OA(873, 90, F8, 46) (dual of [90, 17, 47]-code) [i]✔
24Linear OA(877, 97, F8, 46) (dual of [97, 20, 47]-code) [i]✔
25Linear OA(876, 95, F8, 46) (dual of [95, 19, 47]-code) [i]✔
26Linear OA(863, 79, F8, 44) (dual of [79, 16, 45]-code) [i]✔
27Linear OA(859, 75, F8, 41) (dual of [75, 16, 42]-code) [i]✔
28Linear OA(869, 86, F8, 44) (dual of [86, 17, 45]-code) [i]✔
29Linear OA(875, 95, F8, 45) (dual of [95, 20, 46]-code) [i]✔
30Linear OA(874, 93, F8, 45) (dual of [93, 19, 46]-code) [i]✔
31Linear OA(853, 74, F8, 35) (dual of [74, 21, 36]-code) [i]✔
32Linear OA(856, 79, F8, 36) (dual of [79, 23, 37]-code) [i]✔
33Linear OA(852, 75, F8, 33) (dual of [75, 23, 34]-code) [i]✔
34Linear OA(857, 82, F8, 35) (dual of [82, 25, 36]-code) [i]✔
35Linear OA(854, 79, F8, 33) (dual of [79, 25, 34]-code) [i]✔
36Linear OA(864, 91, F8, 36) (dual of [91, 27, 37]-code) [i]✔
37Linear OA(863, 89, F8, 36) (dual of [89, 26, 37]-code) [i]✔
38Linear OA(867, 96, F8, 36) (dual of [96, 29, 37]-code) [i]✔
39Linear OA(866, 94, F8, 36) (dual of [94, 28, 37]-code) [i]✔
40Linear OA(867, 83, F8, 46) (dual of [83, 16, 47]-code) [i]✔
41Linear OA(864, 80, F8, 45) (dual of [80, 16, 46]-code) [i]✔
42Linear OA(855, 80, F8, 34) (dual of [80, 25, 35]-code) [i]✔
43Linear OOA(848, 32, F8, 2, 36) (dual of [(32, 2), 16, 37]-NRT-code) [i]OOA Folding