Information on Result #1469768
Linear OOA(7108, 106, F7, 2, 64) (dual of [(106, 2), 104, 65]-NRT-code), using construction X applied to AG(2;F,125P) ⊂ AG(2;F,136P) based on
- linear OOA(797, 95, F7, 2, 64) (dual of [(95, 2), 93, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,125P) [i] based on function field F/F7 with g(F) = 33 and N(F) ≥ 96, using
- linear OOA(786, 95, F7, 2, 53) (dual of [(95, 2), 104, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,136P) [i] based on function field F/F7 with g(F) = 33 and N(F) ≥ 96 (see above)
- linear OOA(711, 11, F7, 2, 10) (dual of [(11, 2), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(711, 13, F7, 2, 10) (dual of [(13, 2), 15, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 11, 13)-net over F7, using
- 2 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 11, 13)-net over F7, using
- discarding factors / shortening the dual code based on linear OOA(711, 13, F7, 2, 10) (dual of [(13, 2), 15, 11]-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(7108, 53, F7, 3, 64) (dual of [(53, 3), 51, 65]-NRT-code) | [i] | OOA Folding | |