Information on Result #1093376
Linear OOA(390, 40, F3, 4, 55) (dual of [(40, 4), 70, 56]-NRT-code), using construction X applied to AG(4;F,44P) ⊂ AG(4;F,49P) based on
- linear OOA(381, 36, F3, 4, 55) (dual of [(36, 4), 63, 56]-NRT-code), using algebraic-geometric NRT-code AG(4;F,44P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- linear OOA(371, 36, F3, 4, 45) (dual of [(36, 4), 73, 46]-NRT-code), using algebraic-geometric NRT-code AG(4;F,49P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(39, 4, F3, 4, 9) (dual of [(4, 4), 7, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;7,3) [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(3245, 88, F3, 4, 110) (dual of [(88, 4), 107, 111]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3246, 88, F3, 4, 111) (dual of [(88, 4), 106, 112]-NRT-code) | [i] | ||