Information on Result #658582

Linear OA(871, 75, F8, 63) (dual of [75, 4, 64]-code), using construction X applied to C1 ⊂ C2 with C1 a [65,1,64]-code based on
  1. linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-code), using projective code from ovoid in PG(3, 8) [i]
  2. linear OA(87, 10, F8, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using

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(871, 75, F8, 62) (dual of [75, 4, 63]-code) [i]Strength Reduction
2Linear OA(871, 75, F8, 61) (dual of [75, 4, 62]-code) [i]
3Linear OA(871, 75, F8, 60) (dual of [75, 4, 61]-code) [i]
4Linear OA(872, 76, F8, 63) (dual of [76, 4, 64]-code) [i]Code Embedding in Larger Space
5Linear OA(870, 74, F8, 62) (dual of [74, 4, 63]-code) [i]Truncation
6Linear OA(869, 73, F8, 61) (dual of [73, 4, 62]-code) [i]
7Linear OA(868, 72, F8, 60) (dual of [72, 4, 61]-code) [i]
8Linear OA(867, 71, F8, 59) (dual of [71, 4, 60]-code) [i]
9Linear OA(866, 70, F8, 58) (dual of [70, 4, 59]-code) [i]
10Linear OA(865, 69, F8, 57) (dual of [69, 4, 58]-code) [i]
11Linear OA(864, 68, F8, 56) (dual of [68, 4, 57]-code) [i]
12Linear OA(863, 67, F8, 55) (dual of [67, 4, 56]-code) [i]
13Linear OA(862, 66, F8, 54) (dual of [66, 4, 55]-code) [i]
14Linear OA(860, 64, F8, 52) (dual of [64, 4, 53]-code) [i]
15Linear OA(858, 62, F8, 50) (dual of [62, 4, 51]-code) [i]
16Linear OA(857, 61, F8, 49) (dual of [61, 4, 50]-code) [i]
17Linear OA(856, 60, F8, 48) (dual of [60, 4, 49]-code) [i]
18Linear OA(855, 59, F8, 47) (dual of [59, 4, 48]-code) [i]
19Linear OA(854, 58, F8, 46) (dual of [58, 4, 47]-code) [i]
20Linear OA(853, 57, F8, 45) (dual of [57, 4, 46]-code) [i]
21Linear OA(852, 56, F8, 44) (dual of [56, 4, 45]-code) [i]
22Linear OA(8146, 150, F8, 127) (dual of [150, 4, 128]-code) [i]Repeating Each Code Word
23Linear OA(879, 83, F8, 68) (dual of [83, 4, 69]-code) [i]Juxtaposition
24Linear OA(880, 84, F8, 69) (dual of [84, 4, 70]-code) [i]
25Linear OA(887, 91, F8, 74) (dual of [91, 4, 75]-code) [i]
26Linear OA(888, 92, F8, 75) (dual of [92, 4, 76]-code) [i]
27Linear OA(890, 94, F8, 76) (dual of [94, 4, 77]-code) [i]
28Linear OA(891, 95, F8, 77) (dual of [95, 4, 78]-code) [i]
29Linear OA(892, 96, F8, 78) (dual of [96, 4, 79]-code) [i]
30Linear OA(893, 97, F8, 79) (dual of [97, 4, 80]-code) [i]
31Linear OA(894, 98, F8, 80) (dual of [98, 4, 81]-code) [i]
32Linear OA(895, 99, F8, 81) (dual of [99, 4, 82]-code) [i]
33Linear OA(8129, 133, F8, 112) (dual of [133, 4, 113]-code) [i]
34Linear OA(8130, 134, F8, 113) (dual of [134, 4, 114]-code) [i]
35Linear OA(8131, 135, F8, 114) (dual of [135, 4, 115]-code) [i]
36Linear OA(8132, 136, F8, 115) (dual of [136, 4, 116]-code) [i]
37Linear OA(8133, 137, F8, 116) (dual of [137, 4, 117]-code) [i]
38Linear OA(8134, 138, F8, 117) (dual of [138, 4, 118]-code) [i]
39Linear OA(8135, 139, F8, 118) (dual of [139, 4, 119]-code) [i]
40Linear OA(8136, 140, F8, 119) (dual of [140, 4, 120]-code) [i]
41Linear OA(886, 90, F8, 74) (dual of [90, 4, 75]-code) [i]
42Linear OA(887, 91, F8, 75) (dual of [91, 4, 76]-code) [i]
43Linear OA(889, 93, F8, 76) (dual of [93, 4, 77]-code) [i]
44Linear OA(890, 94, F8, 77) (dual of [94, 4, 78]-code) [i]
45Linear OA(891, 95, F8, 78) (dual of [95, 4, 79]-code) [i]
46Linear OOA(871, 37, F8, 2, 63) (dual of [(37, 2), 3, 64]-NRT-code) [i]OOA Folding
47Linear OOA(871, 25, F8, 3, 63) (dual of [(25, 3), 4, 64]-NRT-code) [i]