Information on Result #622431

Linear OA(1634, 45, F16, 30) (dual of [45, 11, 31]-code), using extended algebraic-geometric code AGe(F,14P) 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(1679, 90, F16, 61) (dual of [90, 11, 62]-code) [i]Repeating Each Code Word
2Linear OA(16124, 135, F16, 92) (dual of [135, 11, 93]-code) [i]
3Linear OA(1678, 88, F16, 61) (dual of [88, 10, 62]-code) [i]
4Linear OA(16122, 132, F16, 92) (dual of [132, 10, 93]-code) [i]
5Linear OA(16120, 129, F16, 92) (dual of [129, 9, 93]-code) [i]
6Linear OA(16118, 126, F16, 92) (dual of [126, 8, 93]-code) [i]
7Linear OA(16116, 123, F16, 92) (dual of [123, 7, 93]-code) [i]
8Linear OA(16114, 120, F16, 92) (dual of [120, 6, 93]-code) [i]
9Linear OA(1699, 110, F16, 79) (dual of [110, 11, 80]-code) [i]Juxtaposition
10Linear OA(1699, 109, F16, 80) (dual of [109, 10, 81]-code) [i]
11Linear OA(1699, 108, F16, 81) (dual of [108, 9, 82]-code) [i]
12Linear OA(1699, 107, F16, 82) (dual of [107, 8, 83]-code) [i]
13Linear OA(1699, 106, F16, 83) (dual of [106, 7, 84]-code) [i]
14Linear OA(1698, 104, F16, 84) (dual of [104, 6, 85]-code) [i]
15Linear OA(2181, 225, F2, 61) (dual of [225, 44, 62]-code) [i]Concatenation of Two Codes
16Linear OA(2180, 220, F2, 61) (dual of [220, 40, 62]-code) [i]
17Linear OA(2179, 215, F2, 61) (dual of [215, 36, 62]-code) [i]
18Linear OA(2178, 210, F2, 61) (dual of [210, 32, 62]-code) [i]
19Linear OA(4113, 135, F4, 61) (dual of [135, 22, 62]-code) [i]
20Linear OA(4112, 132, F4, 61) (dual of [132, 20, 62]-code) [i]
21Linear OA(4111, 129, F4, 61) (dual of [129, 18, 62]-code) [i]
22Linear OA(4110, 126, F4, 61) (dual of [126, 16, 62]-code) [i]
23Linear OA(4109, 123, F4, 61) (dual of [123, 14, 62]-code) [i]
24Linear OA(4108, 120, F4, 61) (dual of [120, 12, 62]-code) [i]
25Linear OA(4158, 180, F4, 92) (dual of [180, 22, 93]-code) [i]
26Linear OA(4156, 176, F4, 92) (dual of [176, 20, 93]-code) [i]
27Linear OA(4154, 172, F4, 92) (dual of [172, 18, 93]-code) [i]
28Linear OA(4152, 168, F4, 92) (dual of [168, 16, 93]-code) [i]
29Linear OA(4150, 164, F4, 92) (dual of [164, 14, 93]-code) [i]
30Linear OA(4148, 160, F4, 92) (dual of [160, 12, 93]-code) [i]
31Linear OA(4203, 225, F4, 123) (dual of [225, 22, 124]-code) [i]
32Linear OA(4200, 220, F4, 123) (dual of [220, 20, 124]-code) [i]
33Linear OA(4197, 215, F4, 123) (dual of [215, 18, 124]-code) [i]
34Linear OA(4191, 205, F4, 123) (dual of [205, 14, 124]-code) [i]
35Linear OA(4188, 200, F4, 123) (dual of [200, 12, 124]-code) [i]
36Linear OOA(2226, 135, F2, 2, 92) (dual of [(135, 2), 44, 93]-NRT-code) [i]Concatenation of Two NRT-Codes
37Linear OOA(2224, 132, F2, 2, 92) (dual of [(132, 2), 40, 93]-NRT-code) [i]
38Linear OOA(2222, 129, F2, 2, 92) (dual of [(129, 2), 36, 93]-NRT-code) [i]
39Linear OOA(2220, 126, F2, 2, 92) (dual of [(126, 2), 32, 93]-NRT-code) [i]
40Linear OOA(2218, 123, F2, 2, 92) (dual of [(123, 2), 28, 93]-NRT-code) [i]
41Linear OOA(4248, 135, F4, 2, 154) (dual of [(135, 2), 22, 155]-NRT-code) [i]
42Linear OOA(4244, 132, F4, 2, 154) (dual of [(132, 2), 20, 155]-NRT-code) [i]
43Linear OOA(4240, 129, F4, 2, 154) (dual of [(129, 2), 18, 155]-NRT-code) [i]
44Linear OOA(2226, 90, F2, 3, 92) (dual of [(90, 3), 44, 93]-NRT-code) [i]
45Linear OOA(2224, 88, F2, 3, 92) (dual of [(88, 3), 40, 93]-NRT-code) [i]
46Linear OOA(2222, 86, F2, 3, 92) (dual of [(86, 3), 36, 93]-NRT-code) [i]
47Linear OOA(2220, 84, F2, 3, 92) (dual of [(84, 3), 32, 93]-NRT-code) [i]
48Linear OOA(1634, 22, F16, 2, 30) (dual of [(22, 2), 10, 31]-NRT-code) [i]OOA Folding