Information on Result #736728

Linear OA(9116, 122, F9, 97) (dual of [122, 6, 98]-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(9116, 122, F9, 96) (dual of [122, 6, 97]-code) [i]Strength Reduction
2Linear OA(9116, 122, F9, 95) (dual of [122, 6, 96]-code) [i]
3Linear OA(9116, 122, F9, 94) (dual of [122, 6, 95]-code) [i]
4Linear OA(9116, 122, F9, 93) (dual of [122, 6, 94]-code) [i]
5Linear OA(9117, 123, F9, 97) (dual of [123, 6, 98]-code) [i]Code Embedding in Larger Space
6Linear OA(9118, 124, F9, 97) (dual of [124, 6, 98]-code) [i]
7Linear OA(9119, 125, F9, 97) (dual of [125, 6, 98]-code) [i]
8Linear OA(9120, 126, F9, 97) (dual of [126, 6, 98]-code) [i]
9Linear OA(9115, 121, F9, 96) (dual of [121, 6, 97]-code) [i]Truncation
10Linear OA(9114, 120, F9, 95) (dual of [120, 6, 96]-code) [i]
11Linear OA(9113, 119, F9, 94) (dual of [119, 6, 95]-code) [i]
12Linear OA(9112, 118, F9, 93) (dual of [118, 6, 94]-code) [i]
13Linear OA(9111, 117, F9, 92) (dual of [117, 6, 93]-code) [i]
14Linear OA(9110, 116, F9, 91) (dual of [116, 6, 92]-code) [i]
15Linear OA(9109, 115, F9, 90) (dual of [115, 6, 91]-code) [i]
16Linear OA(9108, 114, F9, 89) (dual of [114, 6, 90]-code) [i]
17Linear OA(9107, 113, F9, 88) (dual of [113, 6, 89]-code) [i]
18Linear OA(9106, 112, F9, 87) (dual of [112, 6, 88]-code) [i]
19Linear OA(9105, 111, F9, 86) (dual of [111, 6, 87]-code) [i]
20Linear OA(9104, 110, F9, 85) (dual of [110, 6, 86]-code) [i]
21Linear OA(9103, 109, F9, 84) (dual of [109, 6, 85]-code) [i]
22Linear OA(9102, 108, F9, 83) (dual of [108, 6, 84]-code) [i]
23Linear OA(9101, 107, F9, 82) (dual of [107, 6, 83]-code) [i]
24Linear OA(9100, 106, F9, 81) (dual of [106, 6, 82]-code) [i]
25Linear OA(999, 105, F9, 80) (dual of [105, 6, 81]-code) [i]
26Linear OA(9124, 130, F9, 100) (dual of [130, 6, 101]-code) [i]Juxtaposition
27Linear OA(9125, 131, F9, 101) (dual of [131, 6, 102]-code) [i]
28Linear OA(9126, 132, F9, 102) (dual of [132, 6, 103]-code) [i]
29Linear OA(9141, 147, F9, 114) (dual of [147, 6, 115]-code) [i]
30Linear OA(9142, 148, F9, 115) (dual of [148, 6, 116]-code) [i]
31Linear OA(9143, 149, F9, 116) (dual of [149, 6, 117]-code) [i]
32Linear OA(9144, 150, F9, 117) (dual of [150, 6, 118]-code) [i]
33Linear OA(9125, 133, F9, 97) (dual of [133, 8, 98]-code) [i]Construction X with VarÅ¡amov Bound
34Linear OOA(9116, 61, F9, 2, 97) (dual of [(61, 2), 6, 98]-NRT-code) [i]OOA Folding