Information on Result #1806557
Digital (28, 65, 211)-net over F27, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2765, 211, F27, 2, 37) (dual of [(211, 2), 357, 38]-NRT-code), using
- construction X applied to AG(2;F,376P) ⊂ AG(2;F,381P) [i] based on
- linear OOA(2761, 207, F27, 2, 37) (dual of [(207, 2), 353, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,376P) [i] based on function field F/F27 with g(F) = 24 and N(F) ≥ 208, using
- linear OOA(2756, 207, F27, 2, 32) (dual of [(207, 2), 358, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,381P) [i] based on function field F/F27 with g(F) = 24 and N(F) ≥ 208 (see above)
- linear OOA(274, 4, F27, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(274, 27, F27, 2, 4) (dual of [(27, 2), 50, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;50,27) [i]
- discarding factors / shortening the dual code based on linear OOA(274, 27, F27, 2, 4) (dual of [(27, 2), 50, 5]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.