Information on Result #736698

Linear OA(8121, 126, F8, 103) (dual of [126, 5, 104]-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(8121, 126, F8, 102) (dual of [126, 5, 103]-code) [i]Strength Reduction
2Linear OA(8121, 126, F8, 101) (dual of [126, 5, 102]-code) [i]
3Linear OA(8121, 126, F8, 100) (dual of [126, 5, 101]-code) [i]
4Linear OA(8122, 127, F8, 103) (dual of [127, 5, 104]-code) [i]Code Embedding in Larger Space
5Linear OA(8123, 128, F8, 103) (dual of [128, 5, 104]-code) [i]
6Linear OA(8124, 129, F8, 103) (dual of [129, 5, 104]-code) [i]
7Linear OA(8120, 125, F8, 102) (dual of [125, 5, 103]-code) [i]Truncation
8Linear OA(8119, 124, F8, 101) (dual of [124, 5, 102]-code) [i]
9Linear OA(8118, 123, F8, 100) (dual of [123, 5, 101]-code) [i]
10Linear OA(8117, 122, F8, 99) (dual of [122, 5, 100]-code) [i]
11Linear OA(8116, 121, F8, 98) (dual of [121, 5, 99]-code) [i]
12Linear OA(8115, 120, F8, 97) (dual of [120, 5, 98]-code) [i]
13Linear OA(8114, 119, F8, 96) (dual of [119, 5, 97]-code) [i]
14Linear OA(8113, 118, F8, 95) (dual of [118, 5, 96]-code) [i]
15Linear OA(8112, 117, F8, 94) (dual of [117, 5, 95]-code) [i]
16Linear OA(8111, 116, F8, 93) (dual of [116, 5, 94]-code) [i]
17Linear OA(8110, 115, F8, 92) (dual of [115, 5, 93]-code) [i]
18Linear OA(8109, 114, F8, 91) (dual of [114, 5, 92]-code) [i]
19Linear OA(8108, 113, F8, 90) (dual of [113, 5, 91]-code) [i]
20Linear OA(8107, 112, F8, 89) (dual of [112, 5, 90]-code) [i]
21Linear OA(8106, 111, F8, 88) (dual of [111, 5, 89]-code) [i]
22Linear OA(8105, 110, F8, 87) (dual of [110, 5, 88]-code) [i]
23Linear OA(8104, 109, F8, 86) (dual of [109, 5, 87]-code) [i]
24Linear OA(8103, 108, F8, 85) (dual of [108, 5, 86]-code) [i]
25Linear OA(8102, 107, F8, 84) (dual of [107, 5, 85]-code) [i]
26Linear OA(8101, 106, F8, 83) (dual of [106, 5, 84]-code) [i]
27Linear OA(8100, 105, F8, 82) (dual of [105, 5, 83]-code) [i]
28Linear OA(899, 104, F8, 81) (dual of [104, 5, 82]-code) [i]
29Linear OA(898, 103, F8, 80) (dual of [103, 5, 81]-code) [i]
30Linear OA(897, 102, F8, 79) (dual of [102, 5, 80]-code) [i]
31Linear OA(896, 101, F8, 78) (dual of [101, 5, 79]-code) [i]
32Linear OA(895, 100, F8, 77) (dual of [100, 5, 78]-code) [i]
33Linear OA(894, 99, F8, 76) (dual of [99, 5, 77]-code) [i]
34Linear OA(893, 98, F8, 75) (dual of [98, 5, 76]-code) [i]
35Linear OA(8126, 131, F8, 104) (dual of [131, 5, 105]-code) [i]Juxtaposition
36Linear OA(8127, 132, F8, 105) (dual of [132, 5, 106]-code) [i]
37Linear OA(8128, 133, F8, 106) (dual of [133, 5, 107]-code) [i]
38Linear OA(8129, 134, F8, 107) (dual of [134, 5, 108]-code) [i]
39Linear OA(8130, 135, F8, 108) (dual of [135, 5, 109]-code) [i]
40Linear OA(8132, 137, F8, 109) (dual of [137, 5, 110]-code) [i]
41Linear OA(8133, 138, F8, 110) (dual of [138, 5, 111]-code) [i]
42Linear OA(8134, 139, F8, 111) (dual of [139, 5, 112]-code) [i]
43Linear OA(8135, 140, F8, 112) (dual of [140, 5, 113]-code) [i]
44Linear OA(8136, 141, F8, 113) (dual of [141, 5, 114]-code) [i]
45Linear OA(8140, 145, F8, 116) (dual of [145, 5, 117]-code) [i]
46Linear OA(8141, 146, F8, 117) (dual of [146, 5, 118]-code) [i]
47Linear OA(8143, 148, F8, 118) (dual of [148, 5, 119]-code) [i]
48Linear OA(8144, 149, F8, 119) (dual of [149, 5, 120]-code) [i]
49Linear OA(8145, 150, F8, 120) (dual of [150, 5, 121]-code) [i]
50Linear OA(8146, 151, F8, 121) (dual of [151, 5, 122]-code) [i]
51Linear OA(8148, 153, F8, 122) (dual of [153, 5, 123]-code) [i]
52Linear OA(8149, 154, F8, 123) (dual of [154, 5, 124]-code) [i]
53Linear OA(8150, 155, F8, 124) (dual of [155, 5, 125]-code) [i]
54Linear OA(8151, 156, F8, 125) (dual of [156, 5, 126]-code) [i]
55Linear OA(8153, 158, F8, 126) (dual of [158, 5, 127]-code) [i]
56Linear OA(8154, 159, F8, 127) (dual of [159, 5, 128]-code) [i]
57Linear OA(8155, 160, F8, 128) (dual of [160, 5, 129]-code) [i]
58Linear OA(8156, 161, F8, 129) (dual of [161, 5, 130]-code) [i]
59Linear OA(8158, 163, F8, 130) (dual of [163, 5, 131]-code) [i]
60Linear OA(8159, 164, F8, 131) (dual of [164, 5, 132]-code) [i]
61Linear OA(8160, 165, F8, 132) (dual of [165, 5, 133]-code) [i]
62Linear OA(8161, 166, F8, 133) (dual of [166, 5, 134]-code) [i]
63Linear OA(8163, 168, F8, 134) (dual of [168, 5, 135]-code) [i]
64Linear OA(8164, 169, F8, 135) (dual of [169, 5, 136]-code) [i]
65Linear OA(8165, 170, F8, 136) (dual of [170, 5, 137]-code) [i]
66Linear OA(8166, 171, F8, 137) (dual of [171, 5, 138]-code) [i]
67Linear OA(8168, 173, F8, 138) (dual of [173, 5, 139]-code) [i]
68Linear OA(8169, 174, F8, 139) (dual of [174, 5, 140]-code) [i]
69Linear OA(8170, 175, F8, 140) (dual of [175, 5, 141]-code) [i]
70Linear OA(8171, 176, F8, 141) (dual of [176, 5, 142]-code) [i]
71Linear OA(8172, 177, F8, 142) (dual of [177, 5, 143]-code) [i]
72Linear OA(8173, 178, F8, 143) (dual of [178, 5, 144]-code) [i]
73Linear OA(8157, 162, F8, 130) (dual of [162, 5, 131]-code) [i]
74Linear OA(8158, 163, F8, 131) (dual of [163, 5, 132]-code) [i]
75Linear OA(8152, 157, F8, 126) (dual of [157, 5, 127]-code) [i]
76Linear OOA(8121, 63, F8, 2, 103) (dual of [(63, 2), 5, 104]-NRT-code) [i]OOA Folding
77Linear OOA(8121, 42, F8, 3, 103) (dual of [(42, 3), 5, 104]-NRT-code) [i]