Information on Result #1467982
Linear OOA(4159, 99, F4, 2, 100) (dual of [(99, 2), 39, 101]-NRT-code), using construction X applied to AG(2;F,79P) ⊂ AG(2;F,88P) based on
- linear OOA(4150, 90, F4, 2, 100) (dual of [(90, 2), 30, 101]-NRT-code), using algebraic-geometric NRT-code AG(2;F,79P) [i] based on function field F/F4 with g(F) = 50 and N(F) ≥ 91, using
- linear OOA(4141, 90, F4, 2, 91) (dual of [(90, 2), 39, 92]-NRT-code), using algebraic-geometric NRT-code AG(2;F,88P) [i] based on function field F/F4 with g(F) = 50 and N(F) ≥ 91 (see above)
- linear OOA(49, 9, F4, 2, 8) (dual of [(9, 2), 9, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,9P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,9P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
Mode: 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(4159, 99, F4, 2, 99) (dual of [(99, 2), 39, 100]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4161, 100, F4, 2, 100) (dual of [(100, 2), 39, 101]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |