Information on Result #622428

Linear OA(1631, 45, F16, 27) (dual of [45, 14, 28]-code), using extended algebraic-geometric code AGe(F,17P) based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using

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(1676, 90, F16, 55) (dual of [90, 14, 56]-code) [i]Repeating Each Code Word
2Linear OA(16121, 135, F16, 83) (dual of [135, 14, 84]-code) [i]
3Linear OA(1675, 88, F16, 55) (dual of [88, 13, 56]-code) [i]
4Linear OA(16119, 132, F16, 83) (dual of [132, 13, 84]-code) [i]
5Linear OA(16117, 129, F16, 83) (dual of [129, 12, 84]-code) [i]
6Linear OA(16115, 126, F16, 83) (dual of [126, 11, 84]-code) [i]
7Linear OA(16113, 123, F16, 83) (dual of [123, 10, 84]-code) [i]
8Linear OA(16111, 120, F16, 83) (dual of [120, 9, 84]-code) [i]
9Linear OA(462, 90, F4, 27) (dual of [90, 28, 28]-code) [i]Trace Code
10Linear OA(1696, 110, F16, 73) (dual of [110, 14, 74]-code) [i]Juxtaposition
11Linear OA(1696, 109, F16, 74) (dual of [109, 13, 75]-code) [i]
12Linear OA(1696, 108, F16, 75) (dual of [108, 12, 76]-code) [i]
13Linear OA(1696, 107, F16, 76) (dual of [107, 11, 77]-code) [i]
14Linear OA(1696, 106, F16, 77) (dual of [106, 10, 78]-code) [i]
15Linear OA(1696, 105, F16, 78) (dual of [105, 9, 79]-code) [i]
16Linear OA(2169, 225, F2, 55) (dual of [225, 56, 56]-code) [i]Concatenation of Two Codes
17Linear OA(2168, 220, F2, 55) (dual of [220, 52, 56]-code) [i]
18Linear OA(2167, 215, F2, 55) (dual of [215, 48, 56]-code) [i]
19Linear OA(2166, 210, F2, 55) (dual of [210, 44, 56]-code) [i]
20Linear OA(2165, 205, F2, 55) (dual of [205, 40, 56]-code) [i]
21Linear OA(2164, 200, F2, 55) (dual of [200, 36, 56]-code) [i]
22Linear OA(4107, 135, F4, 55) (dual of [135, 28, 56]-code) [i]
23Linear OA(4106, 132, F4, 55) (dual of [132, 26, 56]-code) [i]
24Linear OA(4105, 129, F4, 55) (dual of [129, 24, 56]-code) [i]
25Linear OA(4104, 126, F4, 55) (dual of [126, 22, 56]-code) [i]
26Linear OA(4103, 123, F4, 55) (dual of [123, 20, 56]-code) [i]
27Linear OA(4102, 120, F4, 55) (dual of [120, 18, 56]-code) [i]
28Linear OA(4152, 180, F4, 83) (dual of [180, 28, 84]-code) [i]
29Linear OA(4150, 176, F4, 83) (dual of [176, 26, 84]-code) [i]
30Linear OA(4148, 172, F4, 83) (dual of [172, 24, 84]-code) [i]
31Linear OA(4146, 168, F4, 83) (dual of [168, 22, 84]-code) [i]
32Linear OA(4144, 164, F4, 83) (dual of [164, 20, 84]-code) [i]
33Linear OA(4142, 160, F4, 83) (dual of [160, 18, 84]-code) [i]
34Linear OA(4197, 225, F4, 111) (dual of [225, 28, 112]-code) [i]
35Linear OA(4194, 220, F4, 111) (dual of [220, 26, 112]-code) [i]
36Linear OA(4191, 215, F4, 111) (dual of [215, 24, 112]-code) [i]
37Linear OA(4188, 210, F4, 111) (dual of [210, 22, 112]-code) [i]
38Linear OA(4185, 205, F4, 111) (dual of [205, 20, 112]-code) [i]
39Linear OA(4182, 200, F4, 111) (dual of [200, 18, 112]-code) [i]
40Linear OOA(2214, 135, F2, 2, 83) (dual of [(135, 2), 56, 84]-NRT-code) [i]Concatenation of Two NRT-Codes
41Linear OOA(2212, 132, F2, 2, 83) (dual of [(132, 2), 52, 84]-NRT-code) [i]
42Linear OOA(2210, 129, F2, 2, 83) (dual of [(129, 2), 48, 84]-NRT-code) [i]
43Linear OOA(2206, 123, F2, 2, 83) (dual of [(123, 2), 40, 84]-NRT-code) [i]
44Linear OOA(2204, 120, F2, 2, 83) (dual of [(120, 2), 36, 84]-NRT-code) [i]
45Linear OOA(2214, 90, F2, 3, 83) (dual of [(90, 3), 56, 84]-NRT-code) [i]
46Linear OOA(2212, 88, F2, 3, 83) (dual of [(88, 3), 52, 84]-NRT-code) [i]
47Linear OOA(2210, 86, F2, 3, 83) (dual of [(86, 3), 48, 84]-NRT-code) [i]
48Linear OOA(2206, 82, F2, 3, 83) (dual of [(82, 3), 40, 84]-NRT-code) [i]
49Linear OOA(2204, 80, F2, 3, 83) (dual of [(80, 3), 36, 84]-NRT-code) [i]
50Linear OOA(1631, 22, F16, 2, 27) (dual of [(22, 2), 13, 28]-NRT-code) [i]OOA Folding