Information on Result #1039438
Linear OOA(5103, 82, F5, 3, 58) (dual of [(82, 3), 143, 59]-NRT-code), using construction X applied to AG(3;F,172P) ⊂ AG(3;F,180P) based on
- linear OOA(596, 77, F5, 3, 58) (dual of [(77, 3), 135, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,172P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
- linear OOA(588, 77, F5, 3, 50) (dual of [(77, 3), 143, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,180P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
- linear OOA(57, 5, F5, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,5) [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(5103, 82, F5, 3, 57) (dual of [(82, 3), 143, 58]-NRT-code) | [i] | Strength Reduction for OOAs | |