Information on Result #919142
Linear OOA(457, 41, F4, 2, 33) (dual of [(41, 2), 25, 34]-NRT-code), using construction X applied to AG(2;F,30P) ⊂ AG(2;F,39P) based on
- linear OOA(448, 32, F4, 2, 33) (dual of [(32, 2), 16, 34]-NRT-code), using algebraic-geometric NRT-code AG(2;F,30P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(439, 32, F4, 2, 24) (dual of [(32, 2), 25, 25]-NRT-code), using algebraic-geometric NRT-code AG(2;F,39P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
- linear OOA(49, 9, F4, 2, 8) (dual of [(9, 2), 9, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,9P) [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(2;F,9P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, 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, 41, F4, 2, 32) (dual of [(41, 2), 25, 33]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(459, 42, F4, 2, 33) (dual of [(42, 2), 25, 34]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |