Information on Result #736695

Linear OA(8107, 117, F8, 85) (dual of [117, 10, 86]-code), using a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva

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(8107, 117, F8, 84) (dual of [117, 10, 85]-code) [i]Strength Reduction
2Linear OA(8107, 117, F8, 83) (dual of [117, 10, 84]-code) [i]
3Linear OA(8107, 117, F8, 82) (dual of [117, 10, 83]-code) [i]
4Linear OA(8107, 117, F8, 81) (dual of [117, 10, 82]-code) [i]
5Linear OA(8108, 118, F8, 85) (dual of [118, 10, 86]-code) [i]Code Embedding in Larger Space
6Linear OA(8109, 119, F8, 85) (dual of [119, 10, 86]-code) [i]
7Linear OA(8110, 120, F8, 85) (dual of [120, 10, 86]-code) [i]
8Linear OA(8106, 116, F8, 84) (dual of [116, 10, 85]-code) [i]Truncation
9Linear OA(8105, 115, F8, 83) (dual of [115, 10, 84]-code) [i]
10Linear OA(8104, 114, F8, 82) (dual of [114, 10, 83]-code) [i]
11Linear OA(8103, 113, F8, 81) (dual of [113, 10, 82]-code) [i]
12Linear OA(8102, 112, F8, 80) (dual of [112, 10, 81]-code) [i]
13Linear OA(8101, 111, F8, 79) (dual of [111, 10, 80]-code) [i]
14Linear OA(8100, 110, F8, 78) (dual of [110, 10, 79]-code) [i]
15Linear OA(899, 109, F8, 77) (dual of [109, 10, 78]-code) [i]
16Linear OA(898, 108, F8, 76) (dual of [108, 10, 77]-code) [i]
17Linear OA(897, 107, F8, 75) (dual of [107, 10, 76]-code) [i]
18Linear OA(896, 106, F8, 74) (dual of [106, 10, 75]-code) [i]
19Linear OA(895, 105, F8, 73) (dual of [105, 10, 74]-code) [i]
20Linear OA(894, 104, F8, 72) (dual of [104, 10, 73]-code) [i]
21Linear OA(893, 103, F8, 71) (dual of [103, 10, 72]-code) [i]
22Linear OA(892, 102, F8, 70) (dual of [102, 10, 71]-code) [i]
23Linear OA(891, 101, F8, 69) (dual of [101, 10, 70]-code) [i]
24Linear OA(890, 100, F8, 68) (dual of [100, 10, 69]-code) [i]
25Linear OA(889, 99, F8, 67) (dual of [99, 10, 68]-code) [i]
26Linear OA(888, 98, F8, 66) (dual of [98, 10, 67]-code) [i]
27Linear OA(887, 97, F8, 65) (dual of [97, 10, 66]-code) [i]
28Linear OA(886, 96, F8, 64) (dual of [96, 10, 65]-code) [i]
29Linear OA(885, 95, F8, 63) (dual of [95, 10, 64]-code) [i]
30Linear OA(884, 94, F8, 62) (dual of [94, 10, 63]-code) [i]
31Linear OA(883, 93, F8, 61) (dual of [93, 10, 62]-code) [i]
32Linear OA(882, 92, F8, 60) (dual of [92, 10, 61]-code) [i]
33Linear OA(881, 91, F8, 59) (dual of [91, 10, 60]-code) [i]
34Linear OA(880, 90, F8, 58) (dual of [90, 10, 59]-code) [i]
35Linear OA(879, 89, F8, 57) (dual of [89, 10, 58]-code) [i]
36Linear OA(878, 88, F8, 56) (dual of [88, 10, 57]-code) [i]
37Linear OA(8123, 133, F8, 91) (dual of [133, 10, 92]-code) [i]Juxtaposition
38Linear OA(8125, 135, F8, 92) (dual of [135, 10, 93]-code) [i]
39Linear OA(8126, 136, F8, 93) (dual of [136, 10, 94]-code) [i]
40Linear OA(8127, 137, F8, 94) (dual of [137, 10, 95]-code) [i]
41Linear OA(8129, 139, F8, 95) (dual of [139, 10, 96]-code) [i]
42Linear OA(8130, 140, F8, 96) (dual of [140, 10, 97]-code) [i]
43Linear OA(8131, 141, F8, 97) (dual of [141, 10, 98]-code) [i]
44Linear OA(8166, 175, F8, 126) (dual of [175, 9, 127]-code) [i]
45Linear OA(8167, 176, F8, 127) (dual of [176, 9, 128]-code) [i]
46Linear OA(8168, 177, F8, 128) (dual of [177, 9, 129]-code) [i]
47Linear OA(8169, 178, F8, 129) (dual of [178, 9, 130]-code) [i]
48Linear OA(8170, 179, F8, 130) (dual of [179, 9, 131]-code) [i]
49Linear OA(8171, 180, F8, 131) (dual of [180, 9, 132]-code) [i]
50Linear OA(8172, 181, F8, 132) (dual of [181, 9, 133]-code) [i]
51Linear OA(8173, 182, F8, 133) (dual of [182, 9, 134]-code) [i]
52Linear OA(8115, 126, F8, 85) (dual of [126, 11, 86]-code) [i]Construction X with VarÅ¡amov Bound
53Linear OA(8116, 128, F8, 85) (dual of [128, 12, 86]-code) [i]
54Linear OOA(8107, 58, F8, 2, 85) (dual of [(58, 2), 9, 86]-NRT-code) [i]OOA Folding
55Linear OOA(8107, 39, F8, 3, 85) (dual of [(39, 3), 10, 86]-NRT-code) [i]