Information on Result #1073189

Linear OOA(3103, 32, F3, 4, 82) (dual of [(32, 4), 25, 83]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,45P) 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(3103, 32, F3, 4, 81) (dual of [(32, 4), 25, 82]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3103, 32, F3, 4, 80) (dual of [(32, 4), 25, 81]-NRT-code) [i]
3Linear OOA(3103, 32, F3, 4, 79) (dual of [(32, 4), 25, 80]-NRT-code) [i]
4Linear OOA(3107, 33, F3, 4, 82) (dual of [(33, 4), 25, 83]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(3231, 64, F3, 4, 165) (dual of [(64, 4), 25, 166]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
6Linear OOA(3227, 62, F3, 4, 165) (dual of [(62, 4), 21, 166]-NRT-code) [i]
7Linear OOA(3223, 60, F3, 4, 165) (dual of [(60, 4), 17, 166]-NRT-code) [i]
8Linear OOA(3159, 60, F3, 4, 82) (dual of [(60, 4), 81, 83]-NRT-code) [i](u, u+v)-Construction for OOAs
9Linear OOA(3165, 64, F3, 4, 82) (dual of [(64, 4), 91, 83]-NRT-code) [i]
10Linear OOA(3207, 58, F3, 4, 147) (dual of [(58, 4), 25, 148]-NRT-code) [i]Juxtaposition for OOAs
11Linear OOA(3211, 59, F3, 4, 151) (dual of [(59, 4), 25, 152]-NRT-code) [i]
12Linear OOA(3215, 60, F3, 4, 155) (dual of [(60, 4), 25, 156]-NRT-code) [i]
13Linear OOA(3247, 68, F3, 4, 176) (dual of [(68, 4), 25, 177]-NRT-code) [i]
14Linear OOA(3247, 67, F3, 4, 180) (dual of [(67, 4), 21, 181]-NRT-code) [i]