Information on Result #1042623
Linear OOA(8172, 114, F8, 3, 109) (dual of [(114, 3), 170, 110]-NRT-code), using construction X applied to AG(3;F,181P) ⊂ AG(3;F,206P) based on
- linear OOA(8146, 97, F8, 3, 109) (dual of [(97, 3), 145, 110]-NRT-code), using algebraic-geometric NRT-code AG(3;F,181P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8121, 97, F8, 3, 84) (dual of [(97, 3), 170, 85]-NRT-code), using algebraic-geometric NRT-code AG(3;F,206P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(826, 17, F8, 3, 24) (dual of [(17, 3), 25, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,26P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, 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(8172, 114, F8, 3, 108) (dual of [(114, 3), 170, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |