Information on Result #1073077

Linear OOA(368, 28, F3, 4, 53) (dual of [(28, 4), 44, 54]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,58P) 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(368, 28, F3, 4, 52) (dual of [(28, 4), 44, 53]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(368, 28, F3, 4, 51) (dual of [(28, 4), 44, 52]-NRT-code) [i]
3Linear OOA(368, 28, F3, 4, 50) (dual of [(28, 4), 44, 51]-NRT-code) [i]
4Linear OOA(372, 29, F3, 4, 53) (dual of [(29, 4), 44, 54]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(3107, 52, F3, 4, 53) (dual of [(52, 4), 101, 54]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(3109, 56, F3, 4, 53) (dual of [(56, 4), 115, 54]-NRT-code) [i]
7Linear OOA(3179, 56, F3, 4, 106) (dual of [(56, 4), 45, 107]-NRT-code) [i]
8Linear OOA(3219, 76, F3, 4, 106) (dual of [(76, 4), 85, 107]-NRT-code) [i]
9Linear OOA(3175, 54, F3, 4, 107) (dual of [(54, 4), 41, 108]-NRT-code) [i]
10Linear OOA(3179, 56, F3, 4, 107) (dual of [(56, 4), 45, 108]-NRT-code) [i]
11Linear OOA(3190, 59, F3, 4, 107) (dual of [(59, 4), 46, 108]-NRT-code) [i]
12Linear OOA(3220, 76, F3, 4, 107) (dual of [(76, 4), 84, 108]-NRT-code) [i]
13Linear OOA(3222, 78, F3, 4, 107) (dual of [(78, 4), 90, 108]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
14Linear OOA(3225, 81, F3, 4, 107) (dual of [(81, 4), 99, 108]-NRT-code) [i]
15Linear OOA(3229, 84, F3, 4, 107) (dual of [(84, 4), 107, 108]-NRT-code) [i]
16Linear OOA(3191, 59, F3, 4, 112) (dual of [(59, 4), 45, 113]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes