Information on Result #928314
Linear OOA(9138, 105, F9, 2, 87) (dual of [(105, 2), 72, 88]-NRT-code), using construction X applied to AG(2;F,58P) ⊂ AG(2;F,88P) based on
- linear OOA(9104, 73, F9, 2, 87) (dual of [(73, 2), 42, 88]-NRT-code), using algebraic-geometric NRT-code AG(2;F,58P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(974, 73, F9, 2, 57) (dual of [(73, 2), 72, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,88P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(934, 32, F9, 2, 29) (dual of [(32, 2), 30, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,34P) [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, 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(9138, 105, F9, 2, 86) (dual of [(105, 2), 72, 87]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9140, 106, F9, 2, 87) (dual of [(106, 2), 72, 88]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |