Information on Result #622434

Linear OA(1637, 45, F16, 33) (dual of [45, 8, 34]-code), using extended algebraic-geometric code AGe(F,11P) 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(1682, 90, F16, 67) (dual of [90, 8, 68]-code) [i]Repeating Each Code Word
2Linear OA(16127, 135, F16, 101) (dual of [135, 8, 102]-code) [i]
3Linear OA(1681, 88, F16, 67) (dual of [88, 7, 68]-code) [i]
4Linear OA(16125, 132, F16, 101) (dual of [132, 7, 102]-code) [i]
5Linear OA(16123, 129, F16, 101) (dual of [129, 6, 102]-code) [i]
6Linear OA(1678, 82, F16, 67) (dual of [82, 4, 68]-code) [i]
7Linear OA(16102, 110, F16, 85) (dual of [110, 8, 86]-code) [i]Juxtaposition
8Linear OA(16102, 109, F16, 86) (dual of [109, 7, 87]-code) [i]
9Linear OA(16101, 107, F16, 87) (dual of [107, 6, 88]-code) [i]
10Linear OA(16101, 106, F16, 88) (dual of [106, 5, 89]-code) [i]
11Linear OA(4119, 135, F4, 67) (dual of [135, 16, 68]-code) [i]Concatenation of Two Codes
12Linear OA(4118, 132, F4, 67) (dual of [132, 14, 68]-code) [i]
13Linear OA(4117, 129, F4, 67) (dual of [129, 12, 68]-code) [i]
14Linear OA(4164, 180, F4, 101) (dual of [180, 16, 102]-code) [i]
15Linear OA(4162, 176, F4, 101) (dual of [176, 14, 102]-code) [i]
16Linear OA(4160, 172, F4, 101) (dual of [172, 12, 102]-code) [i]
17Linear OA(4156, 164, F4, 101) (dual of [164, 8, 102]-code) [i]
18Linear OA(4203, 215, F4, 135) (dual of [215, 12, 136]-code) [i]
19Linear OA(4200, 210, F4, 135) (dual of [210, 10, 136]-code) [i]
20Linear OA(4197, 205, F4, 135) (dual of [205, 8, 136]-code) [i]
21Linear OOA(1637, 22, F16, 2, 33) (dual of [(22, 2), 7, 34]-NRT-code) [i]OOA Folding