Information on Result #933910
Linear OOA(27110, 127, F27, 2, 72) (dual of [(127, 2), 144, 73]-NRT-code), using construction X applied to AG(2;F,141P) ⊂ AG(2;F,162P) 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(2769, 107, F27, 2, 51) (dual of [(107, 2), 145, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,162P) [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108 (see above)
- linear OOA(2720, 20, F27, 2, 20) (dual of [(20, 2), 20, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2720, 27, F27, 2, 20) (dual of [(27, 2), 34, 21]-NRT-code), using
- Reed–Solomon NRT-code RS(2;34,27) [i]
- discarding factors / shortening the dual code based on linear OOA(2720, 27, F27, 2, 20) (dual of [(27, 2), 34, 21]-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.