Information on Result #995730
Linear OOA(4145, 56, F4, 3, 112) (dual of [(56, 3), 23, 113]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,55P) 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]
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(4145, 56, F4, 3, 111) (dual of [(56, 3), 23, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4145, 56, F4, 3, 110) (dual of [(56, 3), 23, 111]-NRT-code) | [i] | ||
| 3 | Linear OOA(4148, 57, F4, 3, 112) (dual of [(57, 3), 23, 113]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(4214, 79, F4, 3, 149) (dual of [(79, 3), 23, 150]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 5 | Linear OOA(4217, 80, F4, 3, 152) (dual of [(80, 3), 23, 153]-NRT-code) | [i] | ||
| 6 | Linear OOA(4220, 81, F4, 3, 155) (dual of [(81, 3), 23, 156]-NRT-code) | [i] | ||
| 7 | Linear OOA(4223, 82, F4, 3, 158) (dual of [(82, 3), 23, 159]-NRT-code) | [i] | ||
| 8 | Linear OOA(4226, 83, F4, 3, 161) (dual of [(83, 3), 23, 162]-NRT-code) | [i] | ||
| 9 | Linear OOA(4229, 84, F4, 3, 162) (dual of [(84, 3), 23, 163]-NRT-code) | [i] | ||
| 10 | Linear OOA(4232, 85, F4, 3, 164) (dual of [(85, 3), 23, 165]-NRT-code) | [i] | ||
| 11 | Linear OOA(4235, 86, F4, 3, 167) (dual of [(86, 3), 23, 168]-NRT-code) | [i] | ||
| 12 | Linear OOA(4238, 87, F4, 3, 168) (dual of [(87, 3), 23, 169]-NRT-code) | [i] | ||
| 13 | Linear OOA(4241, 88, F4, 3, 171) (dual of [(88, 3), 23, 172]-NRT-code) | [i] | ||
| 14 | Linear OOA(4244, 89, F4, 3, 174) (dual of [(89, 3), 23, 175]-NRT-code) | [i] | ||