Information on Result #1049512
Linear OOA(3157, 58, F3, 3, 107) (dual of [(58, 3), 17, 108]-NRT-code), using juxtaposition based on
- linear OOA(367, 28, F3, 3, 52) (dual of [(28, 3), 17, 53]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,31P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(373, 30, F3, 3, 54) (dual of [(30, 3), 17, 55]-NRT-code), using
- construction X applied to AG(3;F,26P) ⊂ AG(3;F,31P) [i] based on
- linear OOA(369, 27, F3, 3, 54) (dual of [(27, 3), 12, 55]-NRT-code), using algebraic-geometric NRT-code AG(3;F,26P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- linear OOA(364, 27, F3, 3, 49) (dual of [(27, 3), 17, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,31P) [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,26P) ⊂ AG(3;F,31P) [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(3157, 58, F3, 3, 106) (dual of [(58, 3), 17, 107]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3157, 58, F3, 3, 105) (dual of [(58, 3), 17, 106]-NRT-code) | [i] | ||
| 3 | Linear OOA(3157, 58, F3, 3, 104) (dual of [(58, 3), 17, 105]-NRT-code) | [i] | ||
| 4 | Linear OOA(3157, 58, F3, 3, 103) (dual of [(58, 3), 17, 104]-NRT-code) | [i] | ||
| 5 | Linear OOA(3156, 57, F3, 3, 106) (dual of [(57, 3), 15, 107]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3155, 57, F3, 3, 105) (dual of [(57, 3), 16, 106]-NRT-code) | [i] | ||
| 7 | Linear OOA(3154, 57, F3, 3, 104) (dual of [(57, 3), 17, 105]-NRT-code) | [i] | ||