Information on Result #1032112
Linear OOA(457, 35, F4, 3, 38) (dual of [(35, 3), 48, 39]-NRT-code), using construction X applied to AG(3;F,57P) ⊂ AG(3;F,62P) based on
- linear OOA(453, 32, F4, 3, 38) (dual of [(32, 3), 43, 39]-NRT-code), using algebraic-geometric NRT-code AG(3;F,57P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(448, 32, F4, 3, 33) (dual of [(32, 3), 48, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,62P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
- linear OOA(44, 3, F4, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,4) [i]
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(457, 35, F4, 3, 37) (dual of [(35, 3), 48, 38]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2114, 70, F2, 3, 38) (dual of [(70, 3), 96, 39]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(4221, 165, F4, 3, 76) (dual of [(165, 3), 274, 77]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(4223, 165, F4, 3, 77) (dual of [(165, 3), 272, 78]-NRT-code) | [i] | ||