Information on Result #1012894
Linear OOA(4256, 160, F4, 3, 100) (dual of [(160, 3), 224, 101]-NRT-code), using (u, u+v)-construction based on
- linear OOA(483, 56, F4, 3, 50) (dual of [(56, 3), 85, 51]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,117P) [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]
- extended algebraic-geometric NRT-code AGe(3;F,117P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- linear OOA(4173, 104, F4, 3, 100) (dual of [(104, 3), 139, 101]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,211P) [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]
- extended algebraic-geometric NRT-code AGe(3;F,211P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, 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(4256, 160, F4, 3, 99) (dual of [(160, 3), 224, 100]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4259, 161, F4, 3, 100) (dual of [(161, 3), 224, 101]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4258, 160, F4, 3, 100) (dual of [(160, 3), 222, 101]-NRT-code) | [i] | OOA Duplication | |