Information on Result #622402

Linear OA(1628, 38, F16, 25) (dual of [38, 10, 26]-code), using extended algebraic-geometric code AGe(F,12P) 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(1666, 76, F16, 51) (dual of [76, 10, 52]-code) [i]Repeating Each Code Word
2Linear OA(16104, 114, F16, 77) (dual of [114, 10, 78]-code) [i]
3Linear OA(16102, 111, F16, 77) (dual of [111, 9, 78]-code) [i]
4Linear OA(16100, 108, F16, 77) (dual of [108, 8, 78]-code) [i]
5Linear OA(1698, 105, F16, 77) (dual of [105, 7, 78]-code) [i]
6Linear OA(1693, 103, F16, 75) (dual of [103, 10, 76]-code) [i]Juxtaposition
7Linear OA(1693, 102, F16, 76) (dual of [102, 9, 77]-code) [i]
8Linear OA(1693, 101, F16, 77) (dual of [101, 8, 78]-code) [i]
9Linear OA(1693, 100, F16, 78) (dual of [100, 7, 79]-code) [i]
10Linear OA(2260, 296, F2, 103) (dual of [296, 36, 104]-code) [i]Concatenation of Two Codes
11Linear OA(2256, 288, F2, 103) (dual of [288, 32, 104]-code) [i]
12Linear OA(494, 114, F4, 51) (dual of [114, 20, 52]-code) [i]
13Linear OA(493, 111, F4, 51) (dual of [111, 18, 52]-code) [i]
14Linear OA(492, 108, F4, 51) (dual of [108, 16, 52]-code) [i]
15Linear OA(491, 105, F4, 51) (dual of [105, 14, 52]-code) [i]
16Linear OA(4132, 152, F4, 77) (dual of [152, 20, 78]-code) [i]
17Linear OA(4130, 148, F4, 77) (dual of [148, 18, 78]-code) [i]
18Linear OA(4128, 144, F4, 77) (dual of [144, 16, 78]-code) [i]
19Linear OA(4126, 140, F4, 77) (dual of [140, 14, 78]-code) [i]
20Linear OA(4170, 190, F4, 103) (dual of [190, 20, 104]-code) [i]
21Linear OA(4167, 185, F4, 103) (dual of [185, 18, 104]-code) [i]
22Linear OA(4164, 180, F4, 103) (dual of [180, 16, 104]-code) [i]
23Linear OA(4161, 175, F4, 103) (dual of [175, 14, 104]-code) [i]
24Linear OOA(2188, 114, F2, 2, 77) (dual of [(114, 2), 40, 78]-NRT-code) [i]Concatenation of Two NRT-Codes
25Linear OOA(2186, 111, F2, 2, 77) (dual of [(111, 2), 36, 78]-NRT-code) [i]
26Linear OOA(2184, 108, F2, 2, 77) (dual of [(108, 2), 32, 78]-NRT-code) [i]
27Linear OOA(2182, 105, F2, 2, 77) (dual of [(105, 2), 28, 78]-NRT-code) [i]
28Linear OOA(4208, 114, F4, 2, 129) (dual of [(114, 2), 20, 130]-NRT-code) [i]
29Linear OOA(4204, 111, F4, 2, 129) (dual of [(111, 2), 18, 130]-NRT-code) [i]
30Linear OOA(4196, 105, F4, 2, 129) (dual of [(105, 2), 14, 130]-NRT-code) [i]
31Linear OOA(2188, 76, F2, 3, 77) (dual of [(76, 3), 40, 78]-NRT-code) [i]
32Linear OOA(2186, 74, F2, 3, 77) (dual of [(74, 3), 36, 78]-NRT-code) [i]
33Linear OOA(2184, 72, F2, 3, 77) (dual of [(72, 3), 32, 78]-NRT-code) [i]
34Linear OOA(2260, 74, F2, 4, 129) (dual of [(74, 4), 36, 130]-NRT-code) [i]
35Linear OOA(1628, 19, F16, 2, 25) (dual of [(19, 2), 10, 26]-NRT-code) [i]OOA Folding