Information on Result #1073179

Linear OOA(393, 32, F3, 4, 72) (dual of [(32, 4), 35, 73]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,55P) 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(393, 32, F3, 4, 71) (dual of [(32, 4), 35, 72]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(393, 32, F3, 4, 70) (dual of [(32, 4), 35, 71]-NRT-code) [i]
3Linear OOA(393, 32, F3, 4, 69) (dual of [(32, 4), 35, 70]-NRT-code) [i]
4Linear OOA(397, 33, F3, 4, 72) (dual of [(33, 4), 35, 73]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(3221, 64, F3, 4, 145) (dual of [(64, 4), 35, 146]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
6Linear OOA(3217, 62, F3, 4, 145) (dual of [(62, 4), 31, 146]-NRT-code) [i]
7Linear OOA(3213, 60, F3, 4, 145) (dual of [(60, 4), 27, 146]-NRT-code) [i]
8Linear OOA(3144, 60, F3, 4, 72) (dual of [(60, 4), 96, 73]-NRT-code) [i](u, u+v)-Construction for OOAs
9Linear OOA(3150, 64, F3, 4, 72) (dual of [(64, 4), 106, 73]-NRT-code) [i]
10Linear OOA(3237, 68, F3, 4, 144) (dual of [(68, 4), 35, 145]-NRT-code) [i]
11Linear OOA(3240, 69, F3, 4, 144) (dual of [(69, 4), 36, 145]-NRT-code) [i]
12Linear OOA(3240, 69, F3, 4, 145) (dual of [(69, 4), 36, 146]-NRT-code) [i]
13Linear OOA(3233, 66, F3, 4, 156) (dual of [(66, 4), 31, 157]-NRT-code) [i]Juxtaposition for OOAs
14Linear OOA(3237, 67, F3, 4, 160) (dual of [(67, 4), 31, 161]-NRT-code) [i]
15Linear OOA(3241, 68, F3, 4, 163) (dual of [(68, 4), 31, 164]-NRT-code) [i]