Information on Result #1041046
Linear OOA(8108, 73, F8, 3, 81) (dual of [(73, 3), 111, 82]-NRT-code), using construction X applied to AG(3;F,110P) ⊂ AG(3;F,124P) based on
- linear OOA(895, 64, F8, 3, 81) (dual of [(64, 3), 97, 82]-NRT-code), using algebraic-geometric NRT-code AG(3;F,110P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OOA(881, 64, F8, 3, 67) (dual of [(64, 3), 111, 68]-NRT-code), using algebraic-geometric NRT-code AG(3;F,124P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(813, 9, F8, 3, 13) (dual of [(9, 3), 14, 14]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;14,8) [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(8108, 73, F8, 3, 80) (dual of [(73, 3), 111, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8162, 138, F8, 3, 81) (dual of [(138, 3), 252, 82]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |