Information on Result #1469071
Linear OOA(728, 40, F7, 2, 16) (dual of [(40, 2), 52, 17]-NRT-code), using construction X applied to AG(2;F,57P) ⊂ AG(2;F,61P) based on
- linear OOA(725, 37, F7, 2, 16) (dual of [(37, 2), 49, 17]-NRT-code), using algebraic-geometric NRT-code AG(2;F,57P) [i] based on function field F/F7 with g(F) = 9 and N(F) ≥ 38, using
- linear OOA(721, 37, F7, 2, 12) (dual of [(37, 2), 53, 13]-NRT-code), using algebraic-geometric NRT-code AG(2;F,61P) [i] based on function field F/F7 with g(F) = 9 and N(F) ≥ 38 (see above)
- linear OOA(73, 3, F7, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(73, 7, F7, 2, 3) (dual of [(7, 2), 11, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;11,7) [i]
- discarding factors / shortening the dual code based on linear OOA(73, 7, F7, 2, 3) (dual of [(7, 2), 11, 4]-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(728, 40, F7, 3, 16) (dual of [(40, 3), 92, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (12, 28, 40)-net over F7 | [i] | ||