Information on Result #1049521
Linear OOA(3159, 58, F3, 3, 111) (dual of [(58, 3), 15, 112]-NRT-code), using juxtaposition based on
- linear OOA(369, 28, F3, 3, 54) (dual of [(28, 3), 15, 55]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,29P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(375, 30, F3, 3, 56) (dual of [(30, 3), 15, 57]-NRT-code), using
- construction X applied to AG(3;F,24P) ⊂ AG(3;F,29P) [i] based on
- linear OOA(371, 27, F3, 3, 56) (dual of [(27, 3), 10, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,24P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- linear OOA(366, 27, F3, 3, 51) (dual of [(27, 3), 15, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,29P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- linear OOA(34, 3, F3, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;5,3) [i]
- construction X applied to AG(3;F,24P) ⊂ AG(3;F,29P) [i] based on
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3159, 58, F3, 3, 110) (dual of [(58, 3), 15, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3159, 58, F3, 3, 109) (dual of [(58, 3), 15, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(3159, 58, F3, 3, 108) (dual of [(58, 3), 15, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(3159, 58, F3, 3, 107) (dual of [(58, 3), 15, 108]-NRT-code) | [i] | ||
| 5 | Linear OOA(3157, 57, F3, 3, 109) (dual of [(57, 3), 14, 110]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3156, 57, F3, 3, 108) (dual of [(57, 3), 15, 109]-NRT-code) | [i] | ||