Information on Result #922832
Linear OOA(8111, 78, F8, 2, 83) (dual of [(78, 2), 45, 84]-NRT-code), using construction X applied to AG(2;F,44P) ⊂ AG(2;F,58P) based on
- linear OOA(897, 64, F8, 2, 83) (dual of [(64, 2), 31, 84]-NRT-code), using algebraic-geometric NRT-code AG(2;F,44P) [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(883, 64, F8, 2, 69) (dual of [(64, 2), 45, 70]-NRT-code), using algebraic-geometric NRT-code AG(2;F,58P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(814, 14, F8, 2, 13) (dual of [(14, 2), 14, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,14P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
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(8111, 78, F8, 2, 82) (dual of [(78, 2), 45, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8113, 79, F8, 2, 83) (dual of [(79, 2), 45, 84]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8166, 143, F8, 2, 83) (dual of [(143, 2), 120, 84]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |