Information on Result #1073078

Linear OOA(369, 28, F3, 4, 54) (dual of [(28, 4), 43, 55]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,57P) 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(369, 28, F3, 4, 53) (dual of [(28, 4), 43, 54]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(369, 28, F3, 4, 52) (dual of [(28, 4), 43, 53]-NRT-code) [i]
3Linear OOA(369, 28, F3, 4, 51) (dual of [(28, 4), 43, 52]-NRT-code) [i]
4Linear OOA(373, 29, F3, 4, 54) (dual of [(29, 4), 43, 55]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(3177, 54, F3, 4, 109) (dual of [(54, 4), 39, 110]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
6Linear OOA(3109, 52, F3, 4, 54) (dual of [(52, 4), 99, 55]-NRT-code) [i](u, u+v)-Construction for OOAs
7Linear OOA(3111, 56, F3, 4, 54) (dual of [(56, 4), 113, 55]-NRT-code) [i]
8Linear OOA(3180, 56, F3, 4, 108) (dual of [(56, 4), 44, 109]-NRT-code) [i]
9Linear OOA(3222, 76, F3, 4, 108) (dual of [(76, 4), 82, 109]-NRT-code) [i]
10Linear OOA(3180, 56, F3, 4, 109) (dual of [(56, 4), 44, 110]-NRT-code) [i]
11Linear OOA(3223, 76, F3, 4, 109) (dual of [(76, 4), 81, 110]-NRT-code) [i]
12Linear OOA(3222, 76, F3, 4, 109) (dual of [(76, 4), 82, 110]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
13Linear OOA(3224, 78, F3, 4, 109) (dual of [(78, 4), 88, 110]-NRT-code) [i]
14Linear OOA(3228, 81, F3, 4, 109) (dual of [(81, 4), 96, 110]-NRT-code) [i]
15Linear OOA(3231, 84, F3, 4, 109) (dual of [(84, 4), 105, 110]-NRT-code) [i]
16Linear OOA(3238, 86, F3, 4, 109) (dual of [(86, 4), 106, 110]-NRT-code) [i]
17Linear OOA(3192, 59, F3, 4, 114) (dual of [(59, 4), 44, 115]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
18Linear OOA(3208, 60, F3, 4, 137) (dual of [(60, 4), 32, 138]-NRT-code) [i]
19Linear OOA(3208, 63, F3, 4, 125) (dual of [(63, 4), 44, 126]-NRT-code) [i]