Information on Result #995311

Linear OOA(443, 21, F4, 3, 36) (dual of [(21, 3), 20, 37]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,26P) 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(443, 21, F4, 3, 35) (dual of [(21, 3), 20, 36]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(4103, 40, F4, 3, 73) (dual of [(40, 3), 17, 74]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
3Linear OOA(4100, 38, F4, 3, 73) (dual of [(38, 3), 14, 74]-NRT-code) [i]
4Linear OOA(468, 42, F4, 3, 36) (dual of [(42, 3), 58, 37]-NRT-code) [i](u, u+v)-Construction for OOAs
5Linear OOA(4199, 151, F4, 3, 72) (dual of [(151, 3), 254, 73]-NRT-code) [i]
6Linear OOA(4201, 151, F4, 3, 73) (dual of [(151, 3), 252, 74]-NRT-code) [i]
7Linear OOA(4219, 80, F4, 3, 147) (dual of [(80, 3), 21, 148]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
8Linear OOA(4212, 76, F4, 3, 146) (dual of [(76, 3), 16, 147]-NRT-code) [i]
9Linear OOA(4218, 80, F4, 3, 146) (dual of [(80, 3), 22, 147]-NRT-code) [i]
10Linear OOA(4211, 77, F4, 3, 152) (dual of [(77, 3), 20, 153]-NRT-code) [i]Juxtaposition for OOAs
11Linear OOA(4211, 76, F4, 3, 155) (dual of [(76, 3), 17, 156]-NRT-code) [i]
12Linear OOA(4124, 46, F4, 3, 94) (dual of [(46, 3), 14, 95]-NRT-code) [i]
13Linear OOA(4211, 75, F4, 3, 158) (dual of [(75, 3), 14, 159]-NRT-code) [i]
14Linear OOA(4205, 72, F4, 3, 158) (dual of [(72, 3), 11, 159]-NRT-code) [i]
15Linear OOA(2149, 63, F2, 3, 73) (dual of [(63, 3), 40, 74]-NRT-code) [i]Concatenation of Two NRT-Codes
16Linear OOA(2146, 60, F2, 3, 73) (dual of [(60, 3), 34, 74]-NRT-code) [i]
17Linear OOA(2143, 57, F2, 3, 73) (dual of [(57, 3), 28, 74]-NRT-code) [i]
18Linear OOA(2140, 54, F2, 3, 73) (dual of [(54, 3), 22, 74]-NRT-code) [i]
19Linear OOA(4207, 76, F4, 3, 148) (dual of [(76, 3), 21, 149]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes