Information on Result #1032443
Linear OOA(473, 41, F4, 3, 44) (dual of [(41, 3), 50, 45]-NRT-code), using construction X applied to AG(3;F,51P) ⊂ AG(3;F,65P) based on
- linear OOA(459, 32, F4, 3, 44) (dual of [(32, 3), 37, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,51P) [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(414, 9, F4, 3, 13) (dual of [(9, 3), 13, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [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,13P) [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(473, 41, F4, 3, 43) (dual of [(41, 3), 50, 44]-NRT-code) | [i] | Strength Reduction for OOAs | |