Information on Result #1032758
Linear OOA(483, 59, F4, 3, 44) (dual of [(59, 3), 94, 45]-NRT-code), using construction X applied to AG(3;F,120P) ⊂ AG(3;F,127P) based on
- linear OOA(477, 55, F4, 3, 44) (dual of [(55, 3), 88, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,120P) [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(470, 55, F4, 3, 37) (dual of [(55, 3), 95, 38]-NRT-code), using algebraic-geometric NRT-code AG(3;F,127P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(46, 4, F4, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,4) [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(4244, 163, F4, 3, 88) (dual of [(163, 3), 245, 89]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4245, 163, F4, 3, 89) (dual of [(163, 3), 244, 90]-NRT-code) | [i] | ||