Information on Result #1073083

Linear OOA(374, 28, F3, 4, 59) (dual of [(28, 4), 38, 60]-NRT-code), using extended algebraic-geometric NRT-code AGe(4;F,52P) 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(374, 28, F3, 4, 58) (dual of [(28, 4), 38, 59]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(374, 28, F3, 4, 57) (dual of [(28, 4), 38, 58]-NRT-code) [i]
3Linear OOA(374, 28, F3, 4, 56) (dual of [(28, 4), 38, 57]-NRT-code) [i]
4Linear OOA(378, 29, F3, 4, 59) (dual of [(29, 4), 38, 60]-NRT-code) [i]NRT-Code Embedding in Larger Space
5Linear OOA(3186, 56, F3, 4, 119) (dual of [(56, 4), 38, 120]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
6Linear OOA(3182, 54, F3, 4, 119) (dual of [(54, 4), 34, 120]-NRT-code) [i]
7Linear OOA(3178, 52, F3, 4, 119) (dual of [(52, 4), 30, 120]-NRT-code) [i]
8Linear OOA(3116, 52, F3, 4, 59) (dual of [(52, 4), 92, 60]-NRT-code) [i](u, u+v)-Construction for OOAs
9Linear OOA(3118, 56, F3, 4, 59) (dual of [(56, 4), 106, 60]-NRT-code) [i]
10Linear OOA(3193, 58, F3, 4, 118) (dual of [(58, 4), 39, 119]-NRT-code) [i]
11Linear OOA(3193, 58, F3, 4, 119) (dual of [(58, 4), 39, 120]-NRT-code) [i]
12Linear OOA(3228, 75, F3, 4, 119) (dual of [(75, 4), 72, 120]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
13Linear OOA(3230, 76, F3, 4, 119) (dual of [(76, 4), 74, 120]-NRT-code) [i]
14Linear OOA(3232, 78, F3, 4, 119) (dual of [(78, 4), 80, 120]-NRT-code) [i]
15Linear OOA(3236, 81, F3, 4, 119) (dual of [(81, 4), 88, 120]-NRT-code) [i]
16Linear OOA(3240, 84, F3, 4, 119) (dual of [(84, 4), 96, 120]-NRT-code) [i]
17Linear OOA(3247, 86, F3, 4, 119) (dual of [(86, 4), 97, 120]-NRT-code) [i]
18Linear OOA(3197, 59, F3, 4, 123) (dual of [(59, 4), 39, 124]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
19Linear OOA(3213, 62, F3, 4, 139) (dual of [(62, 4), 35, 140]-NRT-code) [i]
20Linear OOA(3213, 63, F3, 4, 135) (dual of [(63, 4), 39, 136]-NRT-code) [i]
21Linear OOA(3217, 63, F3, 4, 143) (dual of [(63, 4), 35, 144]-NRT-code) [i]
22Linear OOA(3217, 64, F3, 4, 139) (dual of [(64, 4), 39, 140]-NRT-code) [i]