Information on Result #935661
Linear OOA(4954, 346, F49, 2, 30) (dual of [(346, 2), 638, 31]-NRT-code), using construction X applied to AG(2;F,655P) ⊂ AG(2;F,659P) based on
- linear OOA(4951, 343, F49, 2, 30) (dual of [(343, 2), 635, 31]-NRT-code), using algebraic-geometric NRT-code AG(2;F,655P) [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- the Hermitian function field over F49 [i]
- linear OOA(4947, 343, F49, 2, 26) (dual of [(343, 2), 639, 27]-NRT-code), using algebraic-geometric NRT-code AG(2;F,659P) [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344 (see above)
- linear OOA(493, 3, F49, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(493, 49, F49, 2, 3) (dual of [(49, 2), 95, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;95,49) [i]
- discarding factors / shortening the dual code based on linear OOA(493, 49, F49, 2, 3) (dual of [(49, 2), 95, 4]-NRT-code), using
Mode: Constructive and 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
None.