Information on Result #1026830
Linear OOA(4222, 80, F4, 3, 162) (dual of [(80, 3), 18, 163]-NRT-code), using juxtaposition based on
- linear OOA(454, 24, F4, 3, 44) (dual of [(24, 3), 18, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(454, 26, F4, 3, 44) (dual of [(26, 3), 24, 45]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,33P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- discarding factors / shortening the dual code based on linear OOA(454, 26, F4, 3, 44) (dual of [(26, 3), 24, 45]-NRT-code), using
- linear OOA(4150, 56, F4, 3, 117) (dual of [(56, 3), 18, 118]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,50P) [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,50P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, 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(4222, 80, F4, 3, 161) (dual of [(80, 3), 18, 162]-NRT-code) | [i] | Strength Reduction for OOAs | |