Information on Result #1033318
Linear OOA(4189, 70, F4, 3, 133) (dual of [(70, 3), 21, 134]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,53P) based on
- linear OOA(4164, 55, F4, 3, 164) (dual of [(55, 3), 1, 165]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [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]
- linear OOA(4144, 55, F4, 3, 111) (dual of [(55, 3), 21, 112]-NRT-code), using algebraic-geometric NRT-code AG(3;F,53P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(425, 15, F4, 3, 21) (dual of [(15, 3), 20, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,23P) [i] based on function field F/F4 with g(F) = 4 and N(F) ≥ 15, 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(4189, 70, F4, 3, 132) (dual of [(70, 3), 21, 133]-NRT-code) | [i] | Strength Reduction for OOAs | |