Information on Result #933878
Linear OOA(2791, 124, F27, 2, 56) (dual of [(124, 2), 157, 57]-NRT-code), using construction X applied to AG(2;F,157P) ⊂ AG(2;F,175P) based on
- linear OOA(2774, 107, F27, 2, 56) (dual of [(107, 2), 140, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,157P) [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108, using
- F3 from the tower of function fields by Bezerra, GarcÃa, and Stichtenoth over F27 [i]
- linear OOA(2756, 107, F27, 2, 38) (dual of [(107, 2), 158, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,175P) [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108 (see above)
- linear OOA(2717, 17, F27, 2, 17) (dual of [(17, 2), 17, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2717, 27, F27, 2, 17) (dual of [(27, 2), 37, 18]-NRT-code), using
- Reed–Solomon NRT-code RS(2;37,27) [i]
- discarding factors / shortening the dual code based on linear OOA(2717, 27, F27, 2, 17) (dual of [(27, 2), 37, 18]-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.