Information on Result #1036379
Linear OOA(4217, 118, F4, 3, 120) (dual of [(118, 3), 137, 121]-NRT-code), using construction X applied to AG(3;F,188P) ⊂ AG(3;F,209P) based on
- linear OOA(4193, 103, F4, 3, 120) (dual of [(103, 3), 116, 121]-NRT-code), using algebraic-geometric NRT-code AG(3;F,188P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4172, 103, F4, 3, 99) (dual of [(103, 3), 137, 100]-NRT-code), using algebraic-geometric NRT-code AG(3;F,209P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104 (see above)
- linear OOA(424, 15, F4, 3, 20) (dual of [(15, 3), 21, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,24P) [i] based on function field F/F4 with g(F) = 4 and N(F) ≥ 15, 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(4217, 118, F4, 3, 119) (dual of [(118, 3), 137, 120]-NRT-code) | [i] | Strength Reduction for OOAs | |