Information on Result #1049533
Linear OOA(3162, 58, F3, 3, 117) (dual of [(58, 3), 12, 118]-NRT-code), using juxtaposition based on
- linear OOA(372, 28, F3, 3, 57) (dual of [(28, 3), 12, 58]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,26P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(378, 30, F3, 3, 59) (dual of [(30, 3), 12, 60]-NRT-code), using
- construction X applied to AG(3;F,21P) ⊂ AG(3;F,26P) [i] based on
- linear OOA(374, 27, F3, 3, 59) (dual of [(27, 3), 7, 60]-NRT-code), using algebraic-geometric NRT-code AG(3;F,21P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- 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(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,21P) ⊂ AG(3;F,26P) [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(3162, 58, F3, 3, 116) (dual of [(58, 3), 12, 117]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3162, 58, F3, 3, 115) (dual of [(58, 3), 12, 116]-NRT-code) | [i] | ||
| 3 | Linear OOA(3162, 58, F3, 3, 114) (dual of [(58, 3), 12, 115]-NRT-code) | [i] | ||
| 4 | Linear OOA(3162, 58, F3, 3, 113) (dual of [(58, 3), 12, 114]-NRT-code) | [i] | ||
| 5 | Linear OOA(3160, 57, F3, 3, 115) (dual of [(57, 3), 11, 116]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3159, 57, F3, 3, 114) (dual of [(57, 3), 12, 115]-NRT-code) | [i] | ||