Information on Result #924985
Linear OOA(8153, 125, F8, 2, 86) (dual of [(125, 2), 97, 87]-NRT-code), using construction X applied to AG(2;F,107P) ⊂ AG(2;F,133P) based on
- linear OOA(8123, 97, F8, 2, 86) (dual of [(97, 2), 71, 87]-NRT-code), using algebraic-geometric NRT-code AG(2;F,107P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(897, 97, F8, 2, 60) (dual of [(97, 2), 97, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,133P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(830, 28, F8, 2, 25) (dual of [(28, 2), 26, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,30P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, 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(8153, 125, F8, 2, 85) (dual of [(125, 2), 97, 86]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8155, 126, F8, 2, 86) (dual of [(126, 2), 97, 87]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |