Information on Result #922186
Linear OOA(8129, 71, F8, 2, 108) (dual of [(71, 2), 13, 109]-NRT-code), using construction X applied to AG(2;F,19P) ⊂ AG(2;F,27P) based on
- linear OOA(8122, 64, F8, 2, 108) (dual of [(64, 2), 6, 109]-NRT-code), using algebraic-geometric NRT-code AG(2;F,19P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OOA(8114, 64, F8, 2, 100) (dual of [(64, 2), 14, 101]-NRT-code), using algebraic-geometric NRT-code AG(2;F,27P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(87, 7, F8, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 2, 7) (dual of [(8, 2), 9, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;9,8) [i]
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 2, 7) (dual of [(8, 2), 9, 8]-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.