Information on Result #622432

Linear OA(1635, 45, F16, 31) (dual of [45, 10, 32]-code), using extended algebraic-geometric code AGe(F,13P) 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(1680, 90, F16, 63) (dual of [90, 10, 64]-code) [i]Repeating Each Code Word
2Linear OA(16125, 135, F16, 95) (dual of [135, 10, 96]-code) [i]
3Linear OA(1679, 88, F16, 63) (dual of [88, 9, 64]-code) [i]
4Linear OA(16123, 132, F16, 95) (dual of [132, 9, 96]-code) [i]
5Linear OA(16121, 129, F16, 95) (dual of [129, 8, 96]-code) [i]
6Linear OA(1677, 84, F16, 63) (dual of [84, 7, 64]-code) [i]
7Linear OA(16119, 126, F16, 95) (dual of [126, 7, 96]-code) [i]
8Linear OA(16117, 123, F16, 95) (dual of [123, 6, 96]-code) [i]
9Linear OA(16100, 110, F16, 81) (dual of [110, 10, 82]-code) [i]Juxtaposition
10Linear OA(16100, 109, F16, 82) (dual of [109, 9, 83]-code) [i]
11Linear OA(16100, 108, F16, 83) (dual of [108, 8, 84]-code) [i]
12Linear OA(16100, 107, F16, 84) (dual of [107, 7, 85]-code) [i]
13Linear OA(1699, 105, F16, 85) (dual of [105, 6, 86]-code) [i]
14Linear OA(1699, 104, F16, 86) (dual of [104, 5, 87]-code) [i]
15Linear OA(2185, 225, F2, 63) (dual of [225, 40, 64]-code) [i]Concatenation of Two Codes
16Linear OA(4115, 135, F4, 63) (dual of [135, 20, 64]-code) [i]
17Linear OA(4114, 132, F4, 63) (dual of [132, 18, 64]-code) [i]
18Linear OA(4113, 129, F4, 63) (dual of [129, 16, 64]-code) [i]
19Linear OA(4112, 126, F4, 63) (dual of [126, 14, 64]-code) [i]
20Linear OA(4111, 123, F4, 63) (dual of [123, 12, 64]-code) [i]
21Linear OA(4160, 180, F4, 95) (dual of [180, 20, 96]-code) [i]
22Linear OA(4158, 176, F4, 95) (dual of [176, 18, 96]-code) [i]
23Linear OA(4156, 172, F4, 95) (dual of [172, 16, 96]-code) [i]
24Linear OA(4154, 168, F4, 95) (dual of [168, 14, 96]-code) [i]
25Linear OA(4152, 164, F4, 95) (dual of [164, 12, 96]-code) [i]
26Linear OA(4150, 160, F4, 95) (dual of [160, 10, 96]-code) [i]
27Linear OA(4205, 225, F4, 127) (dual of [225, 20, 128]-code) [i]
28Linear OA(4202, 220, F4, 127) (dual of [220, 18, 128]-code) [i]
29Linear OA(4196, 210, F4, 127) (dual of [210, 14, 128]-code) [i]
30Linear OA(4193, 205, F4, 127) (dual of [205, 12, 128]-code) [i]
31Linear OOA(2230, 135, F2, 2, 95) (dual of [(135, 2), 40, 96]-NRT-code) [i]Concatenation of Two NRT-Codes
32Linear OOA(4250, 135, F4, 2, 159) (dual of [(135, 2), 20, 160]-NRT-code) [i]
33Linear OOA(4246, 132, F4, 2, 159) (dual of [(132, 2), 18, 160]-NRT-code) [i]
34Linear OOA(2230, 90, F2, 3, 95) (dual of [(90, 3), 40, 96]-NRT-code) [i]
35Linear OOA(1635, 22, F16, 2, 31) (dual of [(22, 2), 9, 32]-NRT-code) [i]OOA Folding