Information on Result #933881
Linear OOA(27108, 125, F27, 2, 72) (dual of [(125, 2), 142, 73]-NRT-code), using construction X applied to AG(2;F,141P) ⊂ AG(2;F,160P) based on
- linear OOA(2790, 107, F27, 2, 72) (dual of [(107, 2), 124, 73]-NRT-code), using algebraic-geometric NRT-code AG(2;F,141P) [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(2771, 107, F27, 2, 53) (dual of [(107, 2), 143, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,160P) [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108 (see above)
- linear OOA(2718, 18, F27, 2, 18) (dual of [(18, 2), 18, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2718, 27, F27, 2, 18) (dual of [(27, 2), 36, 19]-NRT-code), using
- Reed–Solomon NRT-code RS(2;36,27) [i]
- discarding factors / shortening the dual code based on linear OOA(2718, 27, F27, 2, 18) (dual of [(27, 2), 36, 19]-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.