Information on Result #1318315

Linear OA(8123, 130, F8, 102) (dual of [130, 7, 103]-code), using a “Gra” code from Grassl’s database

Mode: 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(8123, 130, F8, 101) (dual of [130, 7, 102]-code) [i]Strength Reduction
2Linear OA(8123, 130, F8, 100) (dual of [130, 7, 101]-code) [i]
3Linear OA(8124, 131, F8, 102) (dual of [131, 7, 103]-code) [i]Code Embedding in Larger Space
4Linear OA(8125, 132, F8, 102) (dual of [132, 7, 103]-code) [i]
5Linear OA(8126, 133, F8, 102) (dual of [133, 7, 103]-code) [i]
6Linear OA(8127, 134, F8, 102) (dual of [134, 7, 103]-code) [i]
7Linear OA(8128, 135, F8, 102) (dual of [135, 7, 103]-code) [i]
8Linear OA(8122, 129, F8, 101) (dual of [129, 7, 102]-code) [i]Truncation
9Linear OA(8121, 128, F8, 100) (dual of [128, 7, 101]-code) [i]
10Linear OA(8120, 127, F8, 99) (dual of [127, 7, 100]-code) [i]
11Linear OA(8119, 126, F8, 98) (dual of [126, 7, 99]-code) [i]
12Linear OA(8118, 125, F8, 97) (dual of [125, 7, 98]-code) [i]
13Linear OA(8117, 124, F8, 96) (dual of [124, 7, 97]-code) [i]
14Linear OA(8116, 123, F8, 95) (dual of [123, 7, 96]-code) [i]
15Linear OA(8115, 122, F8, 94) (dual of [122, 7, 95]-code) [i]
16Linear OA(8114, 121, F8, 93) (dual of [121, 7, 94]-code) [i]
17Linear OA(8113, 120, F8, 92) (dual of [120, 7, 93]-code) [i]
18Linear OA(8112, 119, F8, 91) (dual of [119, 7, 92]-code) [i]
19Linear OA(8130, 137, F8, 103) (dual of [137, 7, 104]-code) [i]Juxtaposition
20Linear OA(8131, 138, F8, 104) (dual of [138, 7, 105]-code) [i]
21Linear OA(8132, 139, F8, 105) (dual of [139, 7, 106]-code) [i]
22Linear OA(8133, 140, F8, 106) (dual of [140, 7, 107]-code) [i]
23Linear OA(8135, 142, F8, 107) (dual of [142, 7, 108]-code) [i]
24Linear OA(8136, 143, F8, 108) (dual of [143, 7, 109]-code) [i]
25Linear OA(8137, 144, F8, 109) (dual of [144, 7, 110]-code) [i]
26Linear OA(8138, 145, F8, 110) (dual of [145, 7, 111]-code) [i]
27Linear OA(8140, 147, F8, 111) (dual of [147, 7, 112]-code) [i]
28Linear OA(8141, 148, F8, 112) (dual of [148, 7, 113]-code) [i]
29Linear OA(8142, 149, F8, 113) (dual of [149, 7, 114]-code) [i]
30Linear OA(8143, 150, F8, 114) (dual of [150, 7, 115]-code) [i]
31Linear OA(8146, 153, F8, 116) (dual of [153, 7, 117]-code) [i]
32Linear OA(8147, 154, F8, 117) (dual of [154, 7, 118]-code) [i]
33Linear OA(8149, 156, F8, 118) (dual of [156, 7, 119]-code) [i]
34Linear OA(8150, 157, F8, 119) (dual of [157, 7, 120]-code) [i]
35Linear OA(8151, 158, F8, 120) (dual of [158, 7, 121]-code) [i]
36Linear OA(8153, 160, F8, 121) (dual of [160, 7, 122]-code) [i]
37Linear OA(8154, 161, F8, 122) (dual of [161, 7, 123]-code) [i]
38Linear OA(8158, 165, F8, 125) (dual of [165, 7, 126]-code) [i]
39Linear OA(8159, 166, F8, 126) (dual of [166, 7, 127]-code) [i]
40Linear OA(8160, 167, F8, 127) (dual of [167, 7, 128]-code) [i]
41Linear OA(8161, 168, F8, 128) (dual of [168, 7, 129]-code) [i]
42Linear OA(8162, 169, F8, 129) (dual of [169, 7, 130]-code) [i]
43Linear OA(8163, 170, F8, 130) (dual of [170, 7, 131]-code) [i]
44Linear OA(8171, 178, F8, 136) (dual of [178, 7, 137]-code) [i]
45Linear OA(8172, 179, F8, 137) (dual of [179, 7, 138]-code) [i]
46Linear OA(8173, 180, F8, 138) (dual of [180, 7, 139]-code) [i]
47Linear OA(8132, 140, F8, 102) (dual of [140, 8, 103]-code) [i]Construction X with VarÅ¡amov Bound