Information on Result #1032300
Linear OOA(463, 38, F4, 3, 39) (dual of [(38, 3), 51, 40]-NRT-code), using construction X applied to AG(3;F,56P) ⊂ AG(3;F,65P) based on
- linear OOA(454, 32, F4, 3, 39) (dual of [(32, 3), 42, 40]-NRT-code), using algebraic-geometric NRT-code AG(3;F,56P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(445, 32, F4, 3, 30) (dual of [(32, 3), 51, 31]-NRT-code), using algebraic-geometric NRT-code AG(3;F,65P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
- linear OOA(49, 6, F4, 3, 8) (dual of [(6, 3), 9, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(49, 9, F4, 3, 8) (dual of [(9, 3), 18, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,18P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,18P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(49, 9, F4, 3, 8) (dual of [(9, 3), 18, 9]-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(463, 38, F4, 3, 38) (dual of [(38, 3), 51, 39]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4231, 168, F4, 3, 78) (dual of [(168, 3), 273, 79]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4233, 168, F4, 3, 79) (dual of [(168, 3), 271, 80]-NRT-code) | [i] | ||