Information on Result #1073087

Linear OOA(378, 28, F3, 4, 63) (dual of [(28, 4), 34, 64]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,48P) based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, 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(378, 28, F3, 4, 62) (dual of [(28, 4), 34, 63]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(378, 28, F3, 4, 61) (dual of [(28, 4), 34, 62]-NRT-code) [i]
3Linear OOA(378, 28, F3, 4, 60) (dual of [(28, 4), 34, 61]-NRT-code) [i]
4Linear OOA(382, 29, F3, 4, 63) (dual of [(29, 4), 34, 64]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(3190, 56, F3, 4, 127) (dual of [(56, 4), 34, 128]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
6Linear OOA(3186, 54, F3, 4, 127) (dual of [(54, 4), 30, 128]-NRT-code) [i]
7Linear OOA(3182, 52, F3, 4, 127) (dual of [(52, 4), 26, 128]-NRT-code) [i]
8Linear OOA(3178, 50, F3, 4, 127) (dual of [(50, 4), 22, 128]-NRT-code) [i]
9Linear OOA(3122, 52, F3, 4, 63) (dual of [(52, 4), 86, 64]-NRT-code) [i](u, u+v)-Construction for OOAs
10Linear OOA(3124, 56, F3, 4, 63) (dual of [(56, 4), 100, 64]-NRT-code) [i]
11Linear OOA(3205, 60, F3, 4, 126) (dual of [(60, 4), 35, 127]-NRT-code) [i]
12Linear OOA(3205, 60, F3, 4, 127) (dual of [(60, 4), 35, 128]-NRT-code) [i]
13Linear OOA(3233, 74, F3, 4, 127) (dual of [(74, 4), 63, 128]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
14Linear OOA(3235, 75, F3, 4, 127) (dual of [(75, 4), 65, 128]-NRT-code) [i]
15Linear OOA(3237, 76, F3, 4, 127) (dual of [(76, 4), 67, 128]-NRT-code) [i]
16Linear OOA(3239, 78, F3, 4, 127) (dual of [(78, 4), 73, 128]-NRT-code) [i]
17Linear OOA(3243, 81, F3, 4, 127) (dual of [(81, 4), 81, 128]-NRT-code) [i]
18Linear OOA(3247, 84, F3, 4, 127) (dual of [(84, 4), 89, 128]-NRT-code) [i]
19Linear OOA(3206, 58, F3, 4, 145) (dual of [(58, 4), 26, 146]-NRT-code) [i]Juxtaposition for OOAs
20Linear OOA(3218, 61, F3, 4, 152) (dual of [(61, 4), 26, 153]-NRT-code) [i]
21Linear OOA(3222, 62, F3, 4, 156) (dual of [(62, 4), 26, 157]-NRT-code) [i]