Information on Result #927396
Linear OOA(9118, 88, F9, 2, 86) (dual of [(88, 2), 58, 87]-NRT-code), using construction X applied to AG(2;F,59P) ⊂ AG(2;F,74P) based on
- linear OOA(9103, 73, F9, 2, 86) (dual of [(73, 2), 43, 87]-NRT-code), using algebraic-geometric NRT-code AG(2;F,59P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(988, 73, F9, 2, 71) (dual of [(73, 2), 58, 72]-NRT-code), using algebraic-geometric NRT-code AG(2;F,74P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(915, 15, F9, 2, 14) (dual of [(15, 2), 15, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(915, 16, F9, 2, 14) (dual of [(16, 2), 17, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,17P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(915, 16, F9, 2, 14) (dual of [(16, 2), 17, 15]-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(9118, 44, F9, 3, 86) (dual of [(44, 3), 14, 87]-NRT-code) | [i] | OOA Folding | |