Information on Result #622406

Linear OA(1632, 38, F16, 29) (dual of [38, 6, 30]-code), using extended algebraic-geometric code AGe(F,8P) 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(1670, 76, F16, 59) (dual of [76, 6, 60]-code) [i]Repeating Each Code Word
2Linear OA(16108, 114, F16, 89) (dual of [114, 6, 90]-code) [i]
3Linear OA(1669, 74, F16, 59) (dual of [74, 5, 60]-code) [i]
4Linear OA(16106, 111, F16, 89) (dual of [111, 5, 90]-code) [i]
5Linear OA(16104, 108, F16, 89) (dual of [108, 4, 90]-code) [i]
6Linear OA(1696, 102, F16, 83) (dual of [102, 6, 84]-code) [i]Juxtaposition
7Linear OA(1696, 101, F16, 84) (dual of [101, 5, 85]-code) [i]
8Linear OA(1696, 100, F16, 85) (dual of [100, 4, 86]-code) [i]
9Linear OA(1697, 103, F16, 84) (dual of [103, 6, 85]-code) [i]
10Linear OA(1699, 103, F16, 88) (dual of [103, 4, 89]-code) [i]
11Linear OA(4102, 114, F4, 59) (dual of [114, 12, 60]-code) [i]Concatenation of Two Codes
12Linear OA(4140, 152, F4, 89) (dual of [152, 12, 90]-code) [i]
13Linear OA(4138, 148, F4, 89) (dual of [148, 10, 90]-code) [i]
14Linear OA(4136, 144, F4, 89) (dual of [144, 8, 90]-code) [i]
15Linear OA(4178, 190, F4, 119) (dual of [190, 12, 120]-code) [i]
16Linear OA(4172, 180, F4, 119) (dual of [180, 8, 120]-code) [i]
17Linear OOA(4216, 114, F4, 2, 149) (dual of [(114, 2), 12, 150]-NRT-code) [i]Concatenation of Two NRT-Codes
18Linear OOA(4212, 111, F4, 2, 149) (dual of [(111, 2), 10, 150]-NRT-code) [i]
19Linear OOA(1632, 19, F16, 2, 29) (dual of [(19, 2), 6, 30]-NRT-code) [i]OOA Folding