Information on Result #880915

Linear OOA(432, 21, F4, 2, 25) (dual of [(21, 2), 10, 26]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,16P) based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, 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 OOA(432, 21, F4, 2, 24) (dual of [(21, 2), 10, 25]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(434, 22, F4, 2, 25) (dual of [(22, 2), 10, 26]-NRT-code) [i]NRT-Code Embedding in Larger Space
3Linear OOA(474, 42, F4, 2, 51) (dual of [(42, 2), 10, 52]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
4Linear OOA(450, 39, F4, 2, 25) (dual of [(39, 2), 28, 26]-NRT-code) [i](u, u+v)-Construction for OOAs
5Linear OOA(451, 42, F4, 2, 25) (dual of [(42, 2), 33, 26]-NRT-code) [i]
6Linear OOA(4144, 151, F4, 2, 50) (dual of [(151, 2), 158, 51]-NRT-code) [i]
7Linear OOA(4146, 151, F4, 2, 51) (dual of [(151, 2), 156, 52]-NRT-code) [i]
8Linear OOA(4115, 63, F4, 2, 77) (dual of [(63, 2), 11, 78]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
9Linear OOA(466, 38, F4, 2, 45) (dual of [(38, 2), 10, 46]-NRT-code) [i]Juxtaposition for OOAs
10Linear OOA(486, 48, F4, 2, 60) (dual of [(48, 2), 10, 61]-NRT-code) [i]
11Linear OOA(4194, 102, F4, 2, 133) (dual of [(102, 2), 10, 134]-NRT-code) [i]
12Linear OOA(486, 47, F4, 2, 62) (dual of [(47, 2), 8, 63]-NRT-code) [i]
13Linear OOA(4140, 74, F4, 2, 99) (dual of [(74, 2), 8, 100]-NRT-code) [i]
14Linear OOA(4144, 76, F4, 2, 101) (dual of [(76, 2), 8, 102]-NRT-code) [i]
15Linear OOA(4144, 75, F4, 2, 109) (dual of [(75, 2), 6, 110]-NRT-code) [i]
16Linear OOA(4256, 131, F4, 2, 193) (dual of [(131, 2), 6, 194]-NRT-code) [i]
17Linear OOA(4212, 109, F4, 2, 169) (dual of [(109, 2), 6, 170]-NRT-code) [i]
18Linear OOA(2106, 63, F2, 2, 51) (dual of [(63, 2), 20, 52]-NRT-code) [i]Concatenation of Two NRT-Codes