Information on Result #1469737
Linear OOA(7109, 104, F7, 2, 67) (dual of [(104, 2), 99, 68]-NRT-code), using construction X applied to AG(2;F,122P) ⊂ AG(2;F,131P) based on
- linear OOA(7100, 95, F7, 2, 67) (dual of [(95, 2), 90, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,122P) [i] based on function field F/F7 with g(F) = 33 and N(F) ≥ 96, using
- linear OOA(791, 95, F7, 2, 58) (dual of [(95, 2), 99, 59]-NRT-code), using algebraic-geometric NRT-code AG(2;F,131P) [i] based on function field F/F7 with g(F) = 33 and N(F) ≥ 96 (see above)
- linear OOA(79, 9, F7, 2, 8) (dual of [(9, 2), 9, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(79, 13, F7, 2, 8) (dual of [(13, 2), 17, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 9, 13)-net over F7, using
- 4 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 9, 13)-net over F7, using
- discarding factors / shortening the dual code based on linear OOA(79, 13, F7, 2, 8) (dual of [(13, 2), 17, 9]-NRT-code), using
Mode: 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(7109, 52, F7, 3, 67) (dual of [(52, 3), 47, 68]-NRT-code) | [i] | OOA Folding | |