Information on Result #1031533
Linear OOA(3117, 51, F3, 3, 66) (dual of [(51, 3), 36, 67]-NRT-code), using construction X applied to AG(3;F,74P) ⊂ AG(3;F,81P) based on
- linear OOA(3111, 47, F3, 3, 66) (dual of [(47, 3), 30, 67]-NRT-code), using algebraic-geometric NRT-code AG(3;F,74P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3104, 47, F3, 3, 59) (dual of [(47, 3), 37, 60]-NRT-code), using algebraic-geometric NRT-code AG(3;F,81P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(36, 4, F3, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;6,3) [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, 51, F3, 3, 65) (dual of [(51, 3), 36, 66]-NRT-code) | [i] | Strength Reduction for OOAs |