Information on Result #1033199
Linear OOA(497, 64, F4, 3, 50) (dual of [(64, 3), 95, 51]-NRT-code), using construction X applied to AG(3;F,114P) ⊂ AG(3;F,128P) based on
- linear OOA(483, 55, F4, 3, 50) (dual of [(55, 3), 82, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,114P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(469, 55, F4, 3, 36) (dual of [(55, 3), 96, 37]-NRT-code), using algebraic-geometric NRT-code AG(3;F,128P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (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(497, 64, F4, 3, 49) (dual of [(64, 3), 95, 50]-NRT-code) | [i] | Strength Reduction for OOAs | |