Information on Result #927642
Linear OOA(9112, 92, F9, 2, 75) (dual of [(92, 2), 72, 76]-NRT-code), using construction X applied to AG(2;F,70P) ⊂ AG(2;F,89P) based on
- linear OOA(992, 73, F9, 2, 75) (dual of [(73, 2), 54, 76]-NRT-code), using algebraic-geometric NRT-code AG(2;F,70P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(973, 73, F9, 2, 56) (dual of [(73, 2), 73, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,89P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(920, 19, F9, 2, 18) (dual of [(19, 2), 18, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(920, 20, F9, 2, 18) (dual of [(20, 2), 20, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,21P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(920, 20, F9, 2, 18) (dual of [(20, 2), 20, 19]-NRT-code), 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(9112, 46, F9, 3, 75) (dual of [(46, 3), 26, 76]-NRT-code) | [i] | OOA Folding | |