Information on Result #995316

Linear OOA(448, 21, F4, 3, 41) (dual of [(21, 3), 15, 42]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,21P) 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(448, 21, F4, 3, 40) (dual of [(21, 3), 15, 41]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(4111, 42, F4, 3, 83) (dual of [(42, 3), 15, 84]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
3Linear OOA(4108, 40, F4, 3, 83) (dual of [(40, 3), 12, 84]-NRT-code) [i]
4Linear OOA(4168, 60, F4, 3, 125) (dual of [(60, 3), 12, 126]-NRT-code) [i]
5Linear OOA(4105, 38, F4, 3, 83) (dual of [(38, 3), 9, 84]-NRT-code) [i]
6Linear OOA(4224, 151, F4, 3, 82) (dual of [(151, 3), 229, 83]-NRT-code) [i](u, u+v)-Construction for OOAs
7Linear OOA(4226, 151, F4, 3, 83) (dual of [(151, 3), 227, 84]-NRT-code) [i]
8Linear OOA(4236, 84, F4, 3, 167) (dual of [(84, 3), 16, 168]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
9Linear OOA(4235, 84, F4, 3, 164) (dual of [(84, 3), 17, 165]-NRT-code) [i]
10Linear OOA(4173, 63, F4, 3, 125) (dual of [(63, 3), 16, 126]-NRT-code) [i]
11Linear OOA(496, 37, F4, 3, 70) (dual of [(37, 3), 15, 71]-NRT-code) [i]Juxtaposition for OOAs
12Linear OOA(499, 38, F4, 3, 73) (dual of [(38, 3), 15, 74]-NRT-code) [i]
13Linear OOA(4129, 48, F4, 3, 98) (dual of [(48, 3), 15, 99]-NRT-code) [i]
14Linear OOA(4216, 77, F4, 3, 162) (dual of [(77, 3), 15, 163]-NRT-code) [i]
15Linear OOA(4129, 47, F4, 3, 101) (dual of [(47, 3), 12, 102]-NRT-code) [i]
16Linear OOA(4210, 74, F4, 3, 161) (dual of [(74, 3), 12, 162]-NRT-code) [i]
17Linear OOA(4216, 76, F4, 3, 165) (dual of [(76, 3), 12, 166]-NRT-code) [i]
18Linear OOA(4129, 46, F4, 3, 104) (dual of [(46, 3), 9, 105]-NRT-code) [i]
19Linear OOA(4210, 73, F4, 3, 167) (dual of [(73, 3), 9, 168]-NRT-code) [i]
20Linear OOA(2159, 63, F2, 3, 83) (dual of [(63, 3), 30, 84]-NRT-code) [i]Concatenation of Two NRT-Codes
21Linear OOA(4212, 76, F4, 3, 158) (dual of [(76, 3), 16, 159]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes