Information on Result #1070030
Linear OOA(8178, 87, F81, 4, 68) (dual of [(87, 4), 270, 69]-NRT-code), using OOA 2-folding based on linear OOA(8178, 174, F81, 2, 68) (dual of [(174, 2), 270, 69]-NRT-code), using
- construction X applied to AG(2;F,273P) ⊂ AG(2;F,277P) [i] based on
- linear OOA(8175, 171, F81, 2, 68) (dual of [(171, 2), 267, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,273P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OOA(8171, 171, F81, 2, 64) (dual of [(171, 2), 271, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,277P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OOA(813, 3, F81, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 81, F81, 2, 3) (dual of [(81, 2), 159, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;159,81) [i]
- discarding factors / shortening the dual code based on linear OOA(813, 81, F81, 2, 3) (dual of [(81, 2), 159, 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.