Information on Result #1473850
Linear OOA(2774, 214, F27, 2, 43) (dual of [(214, 2), 354, 44]-NRT-code), using construction X applied to AG(2;F,370P) ⊂ AG(2;F,378P) based on
- linear OOA(2767, 207, F27, 2, 43) (dual of [(207, 2), 347, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,370P) [i] based on function field F/F27 with g(F) = 24 and N(F) ≥ 208, using
- linear OOA(2759, 207, F27, 2, 35) (dual of [(207, 2), 355, 36]-NRT-code), using algebraic-geometric NRT-code AG(2;F,378P) [i] based on function field F/F27 with g(F) = 24 and N(F) ≥ 208 (see above)
- linear OOA(277, 7, F27, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(277, 27, F27, 2, 7) (dual of [(27, 2), 47, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;47,27) [i]
- discarding factors / shortening the dual code based on linear OOA(277, 27, F27, 2, 7) (dual of [(27, 2), 47, 8]-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 | Digital (31, 74, 209)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |