Information on Result #622400

Linear OA(1626, 38, F16, 23) (dual of [38, 12, 24]-code), using extended algebraic-geometric code AGe(F,14P) based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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(16102, 114, F16, 71) (dual of [114, 12, 72]-code) [i]Repeating Each Code Word
2Linear OA(16100, 111, F16, 71) (dual of [111, 11, 72]-code) [i]
3Linear OA(1698, 108, F16, 71) (dual of [108, 10, 72]-code) [i]
4Linear OA(1696, 105, F16, 71) (dual of [105, 9, 72]-code) [i]
5Linear OA(1691, 103, F16, 71) (dual of [103, 12, 72]-code) [i]Juxtaposition
6Linear OA(1691, 102, F16, 72) (dual of [102, 11, 73]-code) [i]
7Linear OA(1691, 101, F16, 73) (dual of [101, 10, 74]-code) [i]
8Linear OA(1691, 100, F16, 74) (dual of [100, 9, 75]-code) [i]
9Linear OA(2142, 190, F2, 47) (dual of [190, 48, 48]-code) [i]Concatenation of Two Codes
10Linear OA(2141, 185, F2, 47) (dual of [185, 44, 48]-code) [i]
11Linear OA(2140, 180, F2, 47) (dual of [180, 40, 48]-code) [i]
12Linear OA(2139, 175, F2, 47) (dual of [175, 36, 48]-code) [i]
13Linear OA(2256, 304, F2, 95) (dual of [304, 48, 96]-code) [i]
14Linear OA(2252, 296, F2, 95) (dual of [296, 44, 96]-code) [i]
15Linear OA(2248, 288, F2, 95) (dual of [288, 40, 96]-code) [i]
16Linear OA(2244, 280, F2, 95) (dual of [280, 36, 96]-code) [i]
17Linear OA(490, 114, F4, 47) (dual of [114, 24, 48]-code) [i]
18Linear OA(489, 111, F4, 47) (dual of [111, 22, 48]-code) [i]
19Linear OA(488, 108, F4, 47) (dual of [108, 20, 48]-code) [i]
20Linear OA(487, 105, F4, 47) (dual of [105, 18, 48]-code) [i]
21Linear OA(4128, 152, F4, 71) (dual of [152, 24, 72]-code) [i]
22Linear OA(4126, 148, F4, 71) (dual of [148, 22, 72]-code) [i]
23Linear OA(4124, 144, F4, 71) (dual of [144, 20, 72]-code) [i]
24Linear OA(4122, 140, F4, 71) (dual of [140, 18, 72]-code) [i]
25Linear OA(4166, 190, F4, 95) (dual of [190, 24, 96]-code) [i]
26Linear OA(4163, 185, F4, 95) (dual of [185, 22, 96]-code) [i]
27Linear OA(4157, 175, F4, 95) (dual of [175, 18, 96]-code) [i]
28Linear OOA(2180, 114, F2, 2, 71) (dual of [(114, 2), 48, 72]-NRT-code) [i]Concatenation of Two NRT-Codes
29Linear OOA(2178, 111, F2, 2, 71) (dual of [(111, 2), 44, 72]-NRT-code) [i]
30Linear OOA(2176, 108, F2, 2, 71) (dual of [(108, 2), 40, 72]-NRT-code) [i]
31Linear OOA(2174, 105, F2, 2, 71) (dual of [(105, 2), 36, 72]-NRT-code) [i]
32Linear OOA(2180, 76, F2, 3, 71) (dual of [(76, 3), 48, 72]-NRT-code) [i]
33Linear OOA(2178, 74, F2, 3, 71) (dual of [(74, 3), 44, 72]-NRT-code) [i]
34Linear OOA(2176, 72, F2, 3, 71) (dual of [(72, 3), 40, 72]-NRT-code) [i]
35Linear OOA(2174, 70, F2, 3, 71) (dual of [(70, 3), 36, 72]-NRT-code) [i]
36Linear OOA(2256, 76, F2, 4, 119) (dual of [(76, 4), 48, 120]-NRT-code) [i]
37Linear OOA(2252, 74, F2, 4, 119) (dual of [(74, 4), 44, 120]-NRT-code) [i]
38Linear OOA(2248, 72, F2, 4, 119) (dual of [(72, 4), 40, 120]-NRT-code) [i]
39Linear OOA(1626, 19, F16, 2, 23) (dual of [(19, 2), 12, 24]-NRT-code) [i]OOA Folding