Information on Result #622463

Linear OA(1638, 49, F16, 33) (dual of [49, 11, 34]-code), using extended algebraic-geometric code AGe(F,15P) based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, 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(1687, 98, F16, 67) (dual of [98, 11, 68]-code) [i]Repeating Each Code Word
2Linear OA(1686, 96, F16, 67) (dual of [96, 10, 68]-code) [i]
3Linear OA(1685, 94, F16, 67) (dual of [94, 9, 68]-code) [i]
4Linear OA(16103, 114, F16, 82) (dual of [114, 11, 83]-code) [i]Juxtaposition
5Linear OA(16103, 113, F16, 83) (dual of [113, 10, 84]-code) [i]
6Linear OA(16103, 112, F16, 84) (dual of [112, 9, 85]-code) [i]
7Linear OA(4125, 147, F4, 67) (dual of [147, 22, 68]-code) [i]Concatenation of Two Codes
8Linear OA(4124, 144, F4, 67) (dual of [144, 20, 68]-code) [i]
9Linear OA(4123, 141, F4, 67) (dual of [141, 18, 68]-code) [i]
10Linear OA(4174, 196, F4, 101) (dual of [196, 22, 102]-code) [i]
11Linear OA(4172, 192, F4, 101) (dual of [192, 20, 102]-code) [i]
12Linear OA(4170, 188, F4, 101) (dual of [188, 18, 102]-code) [i]
13Linear OA(4223, 245, F4, 135) (dual of [245, 22, 136]-code) [i]
14Linear OA(4220, 240, F4, 135) (dual of [240, 20, 136]-code) [i]
15Linear OA(4217, 235, F4, 135) (dual of [235, 18, 136]-code) [i]
16Linear OOA(2250, 147, F2, 2, 101) (dual of [(147, 2), 44, 102]-NRT-code) [i]Concatenation of Two NRT-Codes
17Linear OOA(2248, 144, F2, 2, 101) (dual of [(144, 2), 40, 102]-NRT-code) [i]
18Linear OOA(2250, 98, F2, 3, 101) (dual of [(98, 3), 44, 102]-NRT-code) [i]
19Linear OOA(2248, 96, F2, 3, 101) (dual of [(96, 3), 40, 102]-NRT-code) [i]
20Linear OOA(1638, 24, F16, 2, 33) (dual of [(24, 2), 10, 34]-NRT-code) [i]OOA Folding