Information on Result #994852

Linear OOA(375, 32, F3, 3, 54) (dual of [(32, 3), 21, 55]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,41P) based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, 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(375, 32, F3, 3, 53) (dual of [(32, 3), 21, 54]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(375, 32, F3, 3, 52) (dual of [(32, 3), 21, 53]-NRT-code) [i]
3Linear OOA(378, 33, F3, 3, 54) (dual of [(33, 3), 21, 55]-NRT-code) [i]NRT-Code Embedding in Larger Space
4Linear OOA(3171, 64, F3, 3, 109) (dual of [(64, 3), 21, 110]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
5Linear OOA(3183, 68, F3, 3, 108) (dual of [(68, 3), 21, 109]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(3185, 69, F3, 3, 108) (dual of [(69, 3), 22, 109]-NRT-code) [i]
7Linear OOA(3185, 69, F3, 3, 109) (dual of [(69, 3), 22, 110]-NRT-code) [i]
8Linear OOA(3222, 92, F3, 3, 109) (dual of [(92, 3), 54, 110]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
9Linear OOA(3228, 96, F3, 3, 109) (dual of [(96, 3), 60, 110]-NRT-code) [i]
10Linear OOA(3156, 59, F3, 3, 100) (dual of [(59, 3), 21, 101]-NRT-code) [i]Juxtaposition for OOAs
11Linear OOA(3159, 60, F3, 3, 103) (dual of [(60, 3), 21, 104]-NRT-code) [i]
12Linear OOA(3183, 68, F3, 3, 116) (dual of [(68, 3), 21, 117]-NRT-code) [i]
13Linear OOA(3186, 69, F3, 3, 118) (dual of [(69, 3), 21, 119]-NRT-code) [i]
14Linear OOA(375, 16, F3, 5, 54) (dual of [(16, 5), 5, 55]-NRT-code) [i]OOA Folding