Information on Result #1031473
Linear OOA(3117, 50, F3, 3, 68) (dual of [(50, 3), 33, 69]-NRT-code), using construction X applied to AG(3;F,72P) ⊂ AG(3;F,77P) based on
- linear OOA(3113, 47, F3, 3, 68) (dual of [(47, 3), 28, 69]-NRT-code), using algebraic-geometric NRT-code AG(3;F,72P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3108, 47, F3, 3, 63) (dual of [(47, 3), 33, 64]-NRT-code), using algebraic-geometric NRT-code AG(3;F,77P) [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(3117, 50, F3, 3, 67) (dual of [(50, 3), 33, 68]-NRT-code) | [i] | Strength Reduction for OOAs |