Information on Result #622427

Linear OA(1630, 45, F16, 26) (dual of [45, 15, 27]-code), using extended algebraic-geometric code AGe(F,18P) 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(1675, 90, F16, 53) (dual of [90, 15, 54]-code) [i]Repeating Each Code Word
2Linear OA(16118, 132, F16, 80) (dual of [132, 14, 81]-code) [i]
3Linear OA(16116, 129, F16, 80) (dual of [129, 13, 81]-code) [i]
4Linear OA(16114, 126, F16, 80) (dual of [126, 12, 81]-code) [i]
5Linear OA(16112, 123, F16, 80) (dual of [123, 11, 81]-code) [i]
6Linear OA(16110, 120, F16, 80) (dual of [120, 10, 81]-code) [i]
7Linear OA(460, 90, F4, 26) (dual of [90, 30, 27]-code) [i]Trace Code
8Linear OA(1695, 110, F16, 71) (dual of [110, 15, 72]-code) [i]Juxtaposition
9Linear OA(1695, 109, F16, 72) (dual of [109, 14, 73]-code) [i]
10Linear OA(1695, 108, F16, 73) (dual of [108, 13, 74]-code) [i]
11Linear OA(1695, 107, F16, 74) (dual of [107, 12, 75]-code) [i]
12Linear OA(1695, 106, F16, 75) (dual of [106, 11, 76]-code) [i]
13Linear OA(1695, 105, F16, 76) (dual of [105, 10, 77]-code) [i]
14Linear OA(2165, 225, F2, 53) (dual of [225, 60, 54]-code) [i]Concatenation of Two Codes
15Linear OA(2164, 220, F2, 53) (dual of [220, 56, 54]-code) [i]
16Linear OA(2163, 215, F2, 53) (dual of [215, 52, 54]-code) [i]
17Linear OA(2162, 210, F2, 53) (dual of [210, 48, 54]-code) [i]
18Linear OA(2161, 205, F2, 53) (dual of [205, 44, 54]-code) [i]
19Linear OA(4105, 135, F4, 53) (dual of [135, 30, 54]-code) [i]
20Linear OA(4104, 132, F4, 53) (dual of [132, 28, 54]-code) [i]
21Linear OA(4103, 129, F4, 53) (dual of [129, 26, 54]-code) [i]
22Linear OA(4102, 126, F4, 53) (dual of [126, 24, 54]-code) [i]
23Linear OA(4101, 123, F4, 53) (dual of [123, 22, 54]-code) [i]
24Linear OA(4100, 120, F4, 53) (dual of [120, 20, 54]-code) [i]
25Linear OA(4150, 180, F4, 80) (dual of [180, 30, 81]-code) [i]
26Linear OA(4148, 176, F4, 80) (dual of [176, 28, 81]-code) [i]
27Linear OA(4146, 172, F4, 80) (dual of [172, 26, 81]-code) [i]
28Linear OA(4144, 168, F4, 80) (dual of [168, 24, 81]-code) [i]
29Linear OA(4142, 164, F4, 80) (dual of [164, 22, 81]-code) [i]
30Linear OA(4140, 160, F4, 80) (dual of [160, 20, 81]-code) [i]
31Linear OA(4189, 215, F4, 107) (dual of [215, 26, 108]-code) [i]
32Linear OA(4186, 210, F4, 107) (dual of [210, 24, 108]-code) [i]
33Linear OA(4183, 205, F4, 107) (dual of [205, 22, 108]-code) [i]
34Linear OA(4180, 200, F4, 107) (dual of [200, 20, 108]-code) [i]
35Linear OOA(2210, 135, F2, 2, 80) (dual of [(135, 2), 60, 81]-NRT-code) [i]Concatenation of Two NRT-Codes
36Linear OOA(2208, 132, F2, 2, 80) (dual of [(132, 2), 56, 81]-NRT-code) [i]
37Linear OOA(2206, 129, F2, 2, 80) (dual of [(129, 2), 52, 81]-NRT-code) [i]
38Linear OOA(2204, 126, F2, 2, 80) (dual of [(126, 2), 48, 81]-NRT-code) [i]
39Linear OOA(2202, 123, F2, 2, 80) (dual of [(123, 2), 44, 81]-NRT-code) [i]
40Linear OOA(2200, 120, F2, 2, 80) (dual of [(120, 2), 40, 81]-NRT-code) [i]
41Linear OOA(2210, 90, F2, 3, 80) (dual of [(90, 3), 60, 81]-NRT-code) [i]
42Linear OOA(2208, 88, F2, 3, 80) (dual of [(88, 3), 56, 81]-NRT-code) [i]
43Linear OOA(2206, 86, F2, 3, 80) (dual of [(86, 3), 52, 81]-NRT-code) [i]
44Linear OOA(2204, 84, F2, 3, 80) (dual of [(84, 3), 48, 81]-NRT-code) [i]
45Linear OOA(2202, 82, F2, 3, 80) (dual of [(82, 3), 44, 81]-NRT-code) [i]
46Linear OOA(2200, 80, F2, 3, 80) (dual of [(80, 3), 40, 81]-NRT-code) [i]
47Linear OOA(1630, 22, F16, 2, 26) (dual of [(22, 2), 14, 27]-NRT-code) [i]OOA Folding