Information on Result #1032846
Linear OOA(484, 60, F4, 3, 44) (dual of [(60, 3), 96, 45]-NRT-code), using construction X applied to AG(3;F,120P) ⊂ AG(3;F,128P) based on
- linear OOA(477, 55, F4, 3, 44) (dual of [(55, 3), 88, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,120P) [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(47, 5, F4, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;8,4) [i]
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(484, 60, F4, 3, 43) (dual of [(60, 3), 96, 44]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4245, 164, F4, 3, 88) (dual of [(164, 3), 247, 89]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4246, 164, F4, 3, 89) (dual of [(164, 3), 246, 90]-NRT-code) | [i] | ||