Information on Result #609923

Linear OA(16117, 120, F16, 111) (dual of [120, 3, 112]-code), using Denniston code D(3,16)

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(16117, 120, F16, 110) (dual of [120, 3, 111]-code) [i]Strength Reduction
2Linear OA(16117, 120, F16, 109) (dual of [120, 3, 110]-code) [i]
3Linear OA(16117, 120, F16, 108) (dual of [120, 3, 109]-code) [i]
4Linear OA(16117, 120, F16, 107) (dual of [120, 3, 108]-code) [i]
5Linear OA(16117, 120, F16, 106) (dual of [120, 3, 107]-code) [i]
6Linear OA(16117, 120, F16, 105) (dual of [120, 3, 106]-code) [i]
7Linear OA(16118, 121, F16, 111) (dual of [121, 3, 112]-code) [i]Code Embedding in Larger Space
8Linear OA(16116, 119, F16, 110) (dual of [119, 3, 111]-code) [i]Truncation
9Linear OA(16115, 118, F16, 109) (dual of [118, 3, 110]-code) [i]
10Linear OA(16114, 117, F16, 108) (dual of [117, 3, 109]-code) [i]
11Linear OA(16113, 116, F16, 107) (dual of [116, 3, 108]-code) [i]
12Linear OA(16112, 115, F16, 106) (dual of [115, 3, 107]-code) [i]
13Linear OA(16111, 114, F16, 105) (dual of [114, 3, 106]-code) [i]
14Linear OA(16110, 113, F16, 104) (dual of [113, 3, 105]-code) [i]
15Linear OA(16109, 112, F16, 103) (dual of [112, 3, 104]-code) [i]
16Linear OA(16108, 111, F16, 102) (dual of [111, 3, 103]-code) [i]
17Linear OA(16107, 110, F16, 101) (dual of [110, 3, 102]-code) [i]
18Linear OA(16106, 109, F16, 100) (dual of [109, 3, 101]-code) [i]
19Linear OA(16105, 108, F16, 99) (dual of [108, 3, 100]-code) [i]
20Linear OA(16104, 107, F16, 98) (dual of [107, 3, 99]-code) [i]
21Linear OA(16103, 106, F16, 97) (dual of [106, 3, 98]-code) [i]
22Linear OA(16102, 105, F16, 96) (dual of [105, 3, 97]-code) [i]
23Linear OA(16101, 104, F16, 95) (dual of [104, 3, 96]-code) [i]
24Linear OA(16100, 103, F16, 94) (dual of [103, 3, 95]-code) [i]
25Linear OA(1699, 102, F16, 93) (dual of [102, 3, 94]-code) [i]
26Linear OA(1698, 101, F16, 92) (dual of [101, 3, 93]-code) [i]
27Linear OA(1697, 100, F16, 91) (dual of [100, 3, 92]-code) [i]
28Linear OA(1696, 99, F16, 90) (dual of [99, 3, 91]-code) [i]
29Linear OA(1695, 98, F16, 89) (dual of [98, 3, 90]-code) [i]
30Linear OA(1694, 97, F16, 88) (dual of [97, 3, 89]-code) [i]
31Linear OA(1693, 96, F16, 87) (dual of [96, 3, 88]-code) [i]
32Linear OA(1692, 95, F16, 86) (dual of [95, 3, 87]-code) [i]
33Linear OA(1691, 94, F16, 85) (dual of [94, 3, 86]-code) [i]
34Linear OA(1690, 93, F16, 84) (dual of [93, 3, 85]-code) [i]
35Linear OA(1689, 92, F16, 83) (dual of [92, 3, 84]-code) [i]
36Linear OA(1688, 91, F16, 82) (dual of [91, 3, 83]-code) [i]
37Linear OA(1687, 90, F16, 81) (dual of [90, 3, 82]-code) [i]
38Linear OA(1686, 89, F16, 80) (dual of [89, 3, 81]-code) [i]
39Linear OA(1685, 88, F16, 79) (dual of [88, 3, 80]-code) [i]
40Linear OA(1684, 87, F16, 78) (dual of [87, 3, 79]-code) [i]
41Linear OA(1683, 86, F16, 77) (dual of [86, 3, 78]-code) [i]
42Linear OA(1682, 85, F16, 76) (dual of [85, 3, 77]-code) [i]
43Linear OA(16128, 131, F16, 120) (dual of [131, 3, 121]-code) [i]Juxtaposition
44Linear OA(16129, 132, F16, 121) (dual of [132, 3, 122]-code) [i]
45Linear OA(16130, 133, F16, 122) (dual of [133, 3, 123]-code) [i]
46Linear OOA(16117, 60, F16, 2, 111) (dual of [(60, 2), 3, 112]-NRT-code) [i]OOA Folding