Information on Result #1030736

Linear OOA(368, 27, F3, 3, 53) (dual of [(27, 3), 13, 54]-NRT-code), using algebraic-geometric NRT-code AG(3;F,27P) 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(3149, 54, F3, 3, 107) (dual of [(54, 3), 13, 108]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
2Linear OOA(3146, 52, F3, 3, 107) (dual of [(52, 3), 10, 108]-NRT-code) [i]
3Linear OOA(3224, 78, F3, 3, 161) (dual of [(78, 3), 10, 162]-NRT-code) [i]
4Linear OOA(3143, 50, F3, 3, 107) (dual of [(50, 3), 7, 108]-NRT-code) [i]
5Linear OOA(3229, 81, F3, 3, 161) (dual of [(81, 3), 14, 162]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
6Linear OOA(3194, 76, F3, 3, 107) (dual of [(76, 3), 34, 108]-NRT-code) [i]
7Linear OOA(3196, 78, F3, 3, 107) (dual of [(78, 3), 38, 108]-NRT-code) [i]
8Linear OOA(3199, 81, F3, 3, 107) (dual of [(81, 3), 44, 108]-NRT-code) [i]
9Linear OOA(3107, 40, F3, 3, 75) (dual of [(40, 3), 13, 76]-NRT-code) [i]Juxtaposition for OOAs
10Linear OOA(3164, 59, F3, 3, 116) (dual of [(59, 3), 13, 117]-NRT-code) [i]
11Linear OOA(3176, 63, F3, 3, 123) (dual of [(63, 3), 13, 124]-NRT-code) [i]
12Linear OOA(3188, 67, F3, 3, 130) (dual of [(67, 3), 13, 131]-NRT-code) [i]
13Linear OOA(3164, 59, F3, 3, 118) (dual of [(59, 3), 13, 119]-NRT-code) [i]
14Linear OOA(377, 30, F3, 3, 58) (dual of [(30, 3), 13, 59]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
15Linear OOA(372, 30, F3, 3, 53) (dual of [(30, 3), 18, 54]-NRT-code) [i]
16Linear OOA(3107, 40, F3, 3, 76) (dual of [(40, 3), 13, 77]-NRT-code) [i]
17Linear OOA(3104, 39, F3, 3, 74) (dual of [(39, 3), 13, 75]-NRT-code) [i]