Information on Result #938079
Linear OOA(5106, 58, F5, 2, 78) (dual of [(58, 2), 10, 79]-NRT-code), using construction X applied to AG(2;F,0P) ⊂ AG(2;F,13P) based on
- linear OOA(583, 42, F5, 2, 83) (dual of [(42, 2), 1, 84]-NRT-code), using algebraic-geometric NRT-code AG(2;F,0P) with degPÂ =Â 2 [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(574, 42, F5, 2, 57) (dual of [(42, 2), 10, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,13P) with degPÂ =Â 2 [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42 (see above)
- linear OOA(523, 16, F5, 2, 20) (dual of [(16, 2), 9, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,11P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, 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(5102, 56, F5, 2, 74) (dual of [(56, 2), 10, 75]-NRT-code) | [i] | Truncation for OOAs | |