Information on Result #1042501
Linear OOA(8170, 111, F8, 3, 112) (dual of [(111, 3), 163, 113]-NRT-code), using construction X applied to AG(3;F,178P) ⊂ AG(3;F,199P) based on
- linear OOA(8149, 97, F8, 3, 112) (dual of [(97, 3), 142, 113]-NRT-code), using algebraic-geometric NRT-code AG(3;F,178P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8128, 97, F8, 3, 91) (dual of [(97, 3), 163, 92]-NRT-code), using algebraic-geometric NRT-code AG(3;F,199P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(821, 14, F8, 3, 20) (dual of [(14, 3), 21, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,21P) [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(8170, 111, F8, 3, 111) (dual of [(111, 3), 163, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |