Information on Result #622461

Linear OA(1636, 49, F16, 31) (dual of [49, 13, 32]-code), using extended algebraic-geometric code AGe(F,17P) 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(1685, 98, F16, 63) (dual of [98, 13, 64]-code) [i]Repeating Each Code Word
2Linear OA(1684, 96, F16, 63) (dual of [96, 12, 64]-code) [i]
3Linear OA(1683, 94, F16, 63) (dual of [94, 11, 64]-code) [i]
4Linear OA(16130, 141, F16, 95) (dual of [141, 11, 96]-code) [i]
5Linear OA(472, 98, F4, 31) (dual of [98, 26, 32]-code) [i]Trace Code
6Linear OA(16101, 114, F16, 78) (dual of [114, 13, 79]-code) [i]Juxtaposition
7Linear OA(16101, 113, F16, 79) (dual of [113, 12, 80]-code) [i]
8Linear OA(16101, 112, F16, 80) (dual of [112, 11, 81]-code) [i]
9Linear OA(4121, 147, F4, 63) (dual of [147, 26, 64]-code) [i]Concatenation of Two Codes
10Linear OA(4120, 144, F4, 63) (dual of [144, 24, 64]-code) [i]
11Linear OA(4119, 141, F4, 63) (dual of [141, 22, 64]-code) [i]
12Linear OA(4170, 196, F4, 95) (dual of [196, 26, 96]-code) [i]
13Linear OA(4168, 192, F4, 95) (dual of [192, 24, 96]-code) [i]
14Linear OA(4166, 188, F4, 95) (dual of [188, 22, 96]-code) [i]
15Linear OOA(2242, 147, F2, 2, 95) (dual of [(147, 2), 52, 96]-NRT-code) [i]Concatenation of Two NRT-Codes
16Linear OOA(2240, 144, F2, 2, 95) (dual of [(144, 2), 48, 96]-NRT-code) [i]
17Linear OOA(2242, 98, F2, 3, 95) (dual of [(98, 3), 52, 96]-NRT-code) [i]
18Linear OOA(2240, 96, F2, 3, 95) (dual of [(96, 3), 48, 96]-NRT-code) [i]
19Linear OOA(1636, 24, F16, 2, 31) (dual of [(24, 2), 12, 32]-NRT-code) [i]OOA Folding