Information on Result #995729
Linear OOA(4144, 56, F4, 3, 111) (dual of [(56, 3), 24, 112]-NRT-code), using extended algebraic-geometric NRT-code AGe(3;F,56P) 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(4144, 56, F4, 3, 110) (dual of [(56, 3), 24, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4144, 56, F4, 3, 109) (dual of [(56, 3), 24, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(4147, 57, F4, 3, 111) (dual of [(57, 3), 24, 112]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(4216, 80, F4, 3, 150) (dual of [(80, 3), 24, 151]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 5 | Linear OOA(4219, 81, F4, 3, 153) (dual of [(81, 3), 24, 154]-NRT-code) | [i] | ||
| 6 | Linear OOA(4222, 82, F4, 3, 156) (dual of [(82, 3), 24, 157]-NRT-code) | [i] | ||
| 7 | Linear OOA(4225, 83, F4, 3, 159) (dual of [(83, 3), 24, 160]-NRT-code) | [i] | ||
| 8 | Linear OOA(4228, 84, F4, 3, 160) (dual of [(84, 3), 24, 161]-NRT-code) | [i] | ||
| 9 | Linear OOA(4231, 85, F4, 3, 162) (dual of [(85, 3), 24, 163]-NRT-code) | [i] | ||
| 10 | Linear OOA(4234, 86, F4, 3, 165) (dual of [(86, 3), 24, 166]-NRT-code) | [i] | ||
| 11 | Linear OOA(4237, 87, F4, 3, 166) (dual of [(87, 3), 24, 167]-NRT-code) | [i] | ||
| 12 | Linear OOA(4240, 88, F4, 3, 169) (dual of [(88, 3), 24, 170]-NRT-code) | [i] | ||
| 13 | Linear OOA(4243, 89, F4, 3, 172) (dual of [(89, 3), 24, 173]-NRT-code) | [i] | ||