Information on Result #622459

Linear OA(1634, 49, F16, 29) (dual of [49, 15, 30]-code), using extended algebraic-geometric code AGe(F,19P) 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(1683, 98, F16, 59) (dual of [98, 15, 60]-code) [i]Repeating Each Code Word
2Linear OA(1682, 96, F16, 59) (dual of [96, 14, 60]-code) [i]
3Linear OA(1681, 94, F16, 59) (dual of [94, 13, 60]-code) [i]
4Linear OA(16128, 141, F16, 89) (dual of [141, 13, 90]-code) [i]
5Linear OA(468, 98, F4, 29) (dual of [98, 30, 30]-code) [i]Trace Code
6Linear OA(1699, 114, F16, 74) (dual of [114, 15, 75]-code) [i]Juxtaposition
7Linear OA(1699, 113, F16, 75) (dual of [113, 14, 76]-code) [i]
8Linear OA(1699, 112, F16, 76) (dual of [112, 13, 77]-code) [i]
9Linear OA(4117, 147, F4, 59) (dual of [147, 30, 60]-code) [i]Concatenation of Two Codes
10Linear OA(4116, 144, F4, 59) (dual of [144, 28, 60]-code) [i]
11Linear OA(4115, 141, F4, 59) (dual of [141, 26, 60]-code) [i]
12Linear OA(4162, 188, F4, 89) (dual of [188, 26, 90]-code) [i]
13Linear OOA(2234, 147, F2, 2, 89) (dual of [(147, 2), 60, 90]-NRT-code) [i]Concatenation of Two NRT-Codes
14Linear OOA(2232, 144, F2, 2, 89) (dual of [(144, 2), 56, 90]-NRT-code) [i]
15Linear OOA(2230, 141, F2, 2, 89) (dual of [(141, 2), 52, 90]-NRT-code) [i]
16Linear OOA(2234, 98, F2, 3, 89) (dual of [(98, 3), 60, 90]-NRT-code) [i]
17Linear OOA(2232, 96, F2, 3, 89) (dual of [(96, 3), 56, 90]-NRT-code) [i]
18Linear OOA(2230, 94, F2, 3, 89) (dual of [(94, 3), 52, 90]-NRT-code) [i]
19Linear OOA(1634, 24, F16, 2, 29) (dual of [(24, 2), 14, 30]-NRT-code) [i]OOA Folding