Information on Result #644780

Linear OA(1625, 64, F16, 19) (dual of [64, 39, 20]-code), using algebraic-geometric code AG(F,44P) based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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(2162, 310, F2, 39) (dual of [310, 148, 40]-code) [i]Concatenation of Two Codes
2Linear OA(2161, 305, F2, 39) (dual of [305, 144, 40]-code) [i]
3Linear OA(2160, 300, F2, 39) (dual of [300, 140, 40]-code) [i]
4Linear OA(2159, 295, F2, 39) (dual of [295, 136, 40]-code) [i]
5Linear OA(2158, 290, F2, 39) (dual of [290, 132, 40]-code) [i]
6Linear OA(2157, 285, F2, 39) (dual of [285, 128, 40]-code) [i]
7Linear OA(2156, 280, F2, 39) (dual of [280, 124, 40]-code) [i]
8Linear OA(4108, 174, F4, 39) (dual of [174, 66, 40]-code) [i]
9Linear OA(4107, 171, F4, 39) (dual of [171, 64, 40]-code) [i]
10Linear OA(4106, 168, F4, 39) (dual of [168, 62, 40]-code) [i]
11Linear OA(4105, 165, F4, 39) (dual of [165, 60, 40]-code) [i]
12Linear OA(4104, 162, F4, 39) (dual of [162, 58, 40]-code) [i]
13Linear OA(4103, 159, F4, 39) (dual of [159, 56, 40]-code) [i]
14Linear OA(4102, 156, F4, 39) (dual of [156, 54, 40]-code) [i]
15Linear OA(4101, 153, F4, 39) (dual of [153, 52, 40]-code) [i]
16Linear OOA(2218, 177, F2, 2, 59) (dual of [(177, 2), 136, 60]-NRT-code) [i]Concatenation of Two NRT-Codes
17Linear OOA(2216, 174, F2, 2, 59) (dual of [(174, 2), 132, 60]-NRT-code) [i]
18Linear OOA(2214, 171, F2, 2, 59) (dual of [(171, 2), 128, 60]-NRT-code) [i]
19Linear OA(1628, 67, F16, 21) (dual of [67, 39, 22]-code) [i]✔Construction X with Algebraic-Geometric Codes
20Linear OA(1626, 67, F16, 19) (dual of [67, 41, 20]-code) [i]✔
21Linear OA(1630, 69, F16, 22) (dual of [69, 39, 23]-code) [i]✔
22Linear OA(1627, 69, F16, 19) (dual of [69, 42, 20]-code) [i]✔
23Linear OA(1632, 71, F16, 23) (dual of [71, 39, 24]-code) [i]✔
24Linear OA(1628, 71, F16, 19) (dual of [71, 43, 20]-code) [i]✔
25Linear OA(1634, 73, F16, 24) (dual of [73, 39, 25]-code) [i]✔
26Linear OA(1629, 73, F16, 19) (dual of [73, 44, 20]-code) [i]✔
27Linear OA(1636, 75, F16, 25) (dual of [75, 39, 26]-code) [i]✔
28Linear OA(1630, 75, F16, 19) (dual of [75, 45, 20]-code) [i]✔
29Linear OA(1638, 77, F16, 26) (dual of [77, 39, 27]-code) [i]✔
30Linear OA(1631, 77, F16, 19) (dual of [77, 46, 20]-code) [i]✔
31Linear OA(1640, 79, F16, 27) (dual of [79, 39, 28]-code) [i]✔
32Linear OA(1642, 81, F16, 28) (dual of [81, 39, 29]-code) [i]✔
33Linear OA(1645, 84, F16, 29) (dual of [84, 39, 30]-code) [i]✔
34Linear OA(1647, 86, F16, 30) (dual of [86, 39, 31]-code) [i]✔
35Linear OA(1649, 88, F16, 31) (dual of [88, 39, 32]-code) [i]✔
36Linear OA(1652, 91, F16, 32) (dual of [91, 39, 33]-code) [i]✔
37Linear OA(1654, 93, F16, 33) (dual of [93, 39, 34]-code) [i]✔
38Linear OA(1656, 95, F16, 34) (dual of [95, 39, 35]-code) [i]✔
39Linear OA(1658, 97, F16, 35) (dual of [97, 39, 36]-code) [i]✔
40Linear OA(1661, 100, F16, 36) (dual of [100, 39, 37]-code) [i]✔
41Linear OA(1663, 102, F16, 37) (dual of [102, 39, 38]-code) [i]✔
42Linear OA(1666, 105, F16, 38) (dual of [105, 39, 39]-code) [i]✔
43Linear OA(1668, 107, F16, 39) (dual of [107, 39, 40]-code) [i]✔
44Linear OA(1670, 109, F16, 40) (dual of [109, 39, 41]-code) [i]✔
45Linear OOA(1625, 32, F16, 2, 19) (dual of [(32, 2), 39, 20]-NRT-code) [i]OOA Folding