Information on Result #1031667

Linear OOA(457, 26, F4, 3, 47) (dual of [(26, 3), 21, 48]-NRT-code), using algebraic-geometric NRT-code AG(3;F,30P) based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, 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(4126, 46, F4, 3, 95) (dual of [(46, 3), 12, 96]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
2Linear OOA(4200, 72, F4, 3, 143) (dual of [(72, 3), 16, 144]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
3Linear OOA(4225, 82, F4, 3, 162) (dual of [(82, 3), 21, 163]-NRT-code) [i]Juxtaposition for OOAs
4Linear OOA(4225, 81, F4, 3, 165) (dual of [(81, 3), 18, 166]-NRT-code) [i]
5Linear OOA(4225, 80, F4, 3, 168) (dual of [(80, 3), 15, 169]-NRT-code) [i]
6Linear OOA(2192, 78, F2, 3, 95) (dual of [(78, 3), 42, 96]-NRT-code) [i]Concatenation of Two NRT-Codes
7Linear OOA(2189, 75, F2, 3, 95) (dual of [(75, 3), 36, 96]-NRT-code) [i]
8Linear OOA(493, 38, F4, 3, 64) (dual of [(38, 3), 21, 65]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
9Linear OOA(476, 38, F4, 3, 47) (dual of [(38, 3), 38, 48]-NRT-code) [i]
10Linear OOA(478, 39, F4, 3, 47) (dual of [(39, 3), 39, 48]-NRT-code) [i]
11Linear OOA(499, 40, F4, 3, 67) (dual of [(40, 3), 21, 68]-NRT-code) [i]
12Linear OOA(479, 40, F4, 3, 47) (dual of [(40, 3), 41, 48]-NRT-code) [i]
13Linear OOA(4221, 79, F4, 3, 164) (dual of [(79, 3), 16, 165]-NRT-code) [i]