Information on Result #1473773
Linear OOA(2768, 212, F27, 2, 39) (dual of [(212, 2), 356, 40]-NRT-code), using construction X applied to AG(2;F,374P) ⊂ AG(2;F,380P) based on
- linear OOA(2763, 207, F27, 2, 39) (dual of [(207, 2), 351, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,374P) [i] based on function field F/F27 with g(F) = 24 and N(F) ≥ 208, using
- linear OOA(2757, 207, F27, 2, 33) (dual of [(207, 2), 357, 34]-NRT-code), using algebraic-geometric NRT-code AG(2;F,380P) [i] based on function field F/F27 with g(F) = 24 and N(F) ≥ 208 (see above)
- linear OOA(275, 5, F27, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(275, 27, F27, 2, 5) (dual of [(27, 2), 49, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;49,27) [i]
- discarding factors / shortening the dual code based on linear OOA(275, 27, F27, 2, 5) (dual of [(27, 2), 49, 6]-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 (29, 68, 212)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |