Information on Result #1032374
Linear OOA(493, 40, F4, 3, 66) (dual of [(40, 3), 27, 67]-NRT-code), using construction X applied to AG(3;F,29P) ⊂ AG(3;F,41P) based on
- linear OOA(481, 32, F4, 3, 66) (dual of [(32, 3), 15, 67]-NRT-code), using algebraic-geometric NRT-code AG(3;F,29P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(469, 32, F4, 3, 54) (dual of [(32, 3), 27, 55]-NRT-code), using algebraic-geometric NRT-code AG(3;F,41P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
- linear OOA(412, 8, F4, 3, 11) (dual of [(8, 3), 12, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(412, 9, F4, 3, 11) (dual of [(9, 3), 15, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,15P) [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,15P) [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(412, 9, F4, 3, 11) (dual of [(9, 3), 15, 12]-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(493, 40, F4, 3, 65) (dual of [(40, 3), 27, 66]-NRT-code) | [i] | Strength Reduction for OOAs | |