Information on Result #933612
Linear OOA(2757, 107, F27, 2, 39) (dual of [(107, 2), 157, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,174P) based on function field F/F27 with g(F) = 18 and N(F) ≥ 108, using
- F3 from the tower of function fields by Bezerra, GarcÃa, and Stichtenoth over F27 [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(2764, 110, F27, 2, 43) (dual of [(110, 2), 156, 44]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(2760, 110, F27, 2, 39) (dual of [(110, 2), 160, 40]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(2778, 117, F27, 2, 50) (dual of [(117, 2), 156, 51]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(2780, 118, F27, 2, 51) (dual of [(118, 2), 156, 52]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(2782, 119, F27, 2, 52) (dual of [(119, 2), 156, 53]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(2784, 120, F27, 2, 53) (dual of [(120, 2), 156, 54]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(2786, 121, F27, 2, 54) (dual of [(121, 2), 156, 55]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(2788, 122, F27, 2, 55) (dual of [(122, 2), 156, 56]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(2790, 123, F27, 2, 56) (dual of [(123, 2), 156, 57]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(2792, 124, F27, 2, 57) (dual of [(124, 2), 156, 58]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(2794, 125, F27, 2, 58) (dual of [(125, 2), 156, 59]-NRT-code) | [i] | ✔ | |