Information on Result #1031507
Linear OOA(3100, 50, F3, 3, 51) (dual of [(50, 3), 50, 52]-NRT-code), using construction X applied to AG(3;F,89P) ⊂ AG(3;F,94P) based on
- linear OOA(396, 47, F3, 3, 51) (dual of [(47, 3), 45, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,89P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(391, 47, F3, 3, 46) (dual of [(47, 3), 50, 47]-NRT-code), using algebraic-geometric NRT-code AG(3;F,94P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(34, 3, F3, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;5,3) [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(3100, 50, F3, 3, 50) (dual of [(50, 3), 50, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3100, 25, F3, 5, 51) (dual of [(25, 5), 25, 52]-NRT-code) | [i] | OOA Folding | |