Information on Result #622419

Linear OA(1622, 45, F16, 18) (dual of [45, 23, 19]-code), using extended algebraic-geometric code AGe(F,26P) 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(444, 90, F4, 18) (dual of [90, 46, 19]-code) [i]Trace Code
2Linear OA(16125, 4142, F16, 37) (dual of [4142, 4017, 38]-code) [i](u, u+v)-Construction
3Linear OA(16122, 4141, F16, 36) (dual of [4141, 4019, 37]-code) [i]
4Linear OA(1687, 110, F16, 55) (dual of [110, 23, 56]-code) [i]Juxtaposition
5Linear OA(1687, 109, F16, 56) (dual of [109, 22, 57]-code) [i]
6Linear OA(1687, 108, F16, 57) (dual of [108, 21, 58]-code) [i]
7Linear OA(1687, 107, F16, 58) (dual of [107, 20, 59]-code) [i]
8Linear OA(1687, 106, F16, 59) (dual of [106, 19, 60]-code) [i]
9Linear OA(1687, 105, F16, 60) (dual of [105, 18, 61]-code) [i]
10Linear OA(489, 135, F4, 37) (dual of [135, 46, 38]-code) [i]Concatenation of Two Codes
11Linear OA(485, 123, F4, 37) (dual of [123, 38, 38]-code) [i]
12Linear OA(484, 120, F4, 37) (dual of [120, 36, 38]-code) [i]
13Linear OOA(2178, 135, F2, 2, 56) (dual of [(135, 2), 92, 57]-NRT-code) [i]Concatenation of Two NRT-Codes
14Linear OOA(2176, 132, F2, 2, 56) (dual of [(132, 2), 88, 57]-NRT-code) [i]
15Linear OOA(2174, 129, F2, 2, 56) (dual of [(129, 2), 84, 57]-NRT-code) [i]
16Linear OOA(2172, 126, F2, 2, 56) (dual of [(126, 2), 80, 57]-NRT-code) [i]
17Linear OOA(2170, 123, F2, 2, 56) (dual of [(123, 2), 76, 57]-NRT-code) [i]
18Linear OOA(2168, 120, F2, 2, 56) (dual of [(120, 2), 72, 57]-NRT-code) [i]
19Linear OOA(2176, 88, F2, 3, 56) (dual of [(88, 3), 88, 57]-NRT-code) [i]
20Linear OOA(2174, 86, F2, 3, 56) (dual of [(86, 3), 84, 57]-NRT-code) [i]
21Linear OOA(2172, 84, F2, 3, 56) (dual of [(84, 3), 80, 57]-NRT-code) [i]
22Linear OOA(2170, 82, F2, 3, 56) (dual of [(82, 3), 76, 57]-NRT-code) [i]
23Linear OOA(2168, 80, F2, 3, 56) (dual of [(80, 3), 72, 57]-NRT-code) [i]
24Linear OA(1684, 105, F16, 56) (dual of [105, 21, 57]-code) [i]Construction X with Algebraic-Geometric Codes
25Linear OA(1683, 105, F16, 55) (dual of [105, 22, 56]-code) [i]
26Linear OA(1682, 105, F16, 54) (dual of [105, 23, 55]-code) [i]
27Linear OA(1681, 105, F16, 53) (dual of [105, 24, 54]-code) [i]
28Linear OA(1680, 105, F16, 52) (dual of [105, 25, 53]-code) [i]
29Linear OA(1679, 105, F16, 51) (dual of [105, 26, 52]-code) [i]
30Linear OA(1678, 105, F16, 50) (dual of [105, 27, 51]-code) [i]
31Linear OA(1677, 105, F16, 49) (dual of [105, 28, 50]-code) [i]
32Linear OA(1676, 105, F16, 48) (dual of [105, 29, 49]-code) [i]
33Linear OA(1675, 105, F16, 47) (dual of [105, 30, 48]-code) [i]
34Linear OA(1674, 105, F16, 46) (dual of [105, 31, 47]-code) [i]
35Linear OA(1673, 105, F16, 45) (dual of [105, 32, 46]-code) [i]
36Linear OA(1672, 105, F16, 44) (dual of [105, 33, 45]-code) [i]
37Linear OA(1671, 105, F16, 43) (dual of [105, 34, 44]-code) [i]
38Linear OA(1670, 105, F16, 42) (dual of [105, 35, 43]-code) [i]
39Linear OA(1669, 105, F16, 41) (dual of [105, 36, 42]-code) [i]
40Linear OA(1668, 105, F16, 40) (dual of [105, 37, 41]-code) [i]
41Linear OA(1667, 105, F16, 39) (dual of [105, 38, 40]-code) [i]
42Linear OA(1666, 105, F16, 38) (dual of [105, 39, 39]-code) [i]
43Linear OA(1682, 104, F16, 55) (dual of [104, 22, 56]-code) [i]
44Linear OA(1681, 104, F16, 54) (dual of [104, 23, 55]-code) [i]
45Linear OA(1680, 104, F16, 53) (dual of [104, 24, 54]-code) [i]
46Linear OOA(1622, 22, F16, 2, 18) (dual of [(22, 2), 22, 19]-NRT-code) [i]OOA Folding