Information on Result #1045388
Linear OOA(9142, 91, F9, 3, 99) (dual of [(91, 3), 131, 100]-NRT-code), using construction X applied to AG(3;F,131P) ⊂ AG(3;F,152P) based on
- linear OOA(9121, 77, F9, 3, 99) (dual of [(77, 3), 110, 100]-NRT-code), using algebraic-geometric NRT-code AG(3;F,131P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- linear OOA(9100, 77, F9, 3, 78) (dual of [(77, 3), 131, 79]-NRT-code), using algebraic-geometric NRT-code AG(3;F,152P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(921, 14, F9, 3, 20) (dual of [(14, 3), 21, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(921, 16, F9, 3, 20) (dual of [(16, 3), 27, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,27P) [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(921, 16, F9, 3, 20) (dual of [(16, 3), 27, 21]-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(9142, 91, F9, 3, 98) (dual of [(91, 3), 131, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |