Information on Result #938106
Linear OOA(16129, 71, F16, 2, 117) (dual of [(71, 2), 13, 118]-NRT-code), using construction X applied to AG(2;F,10P) ⊂ AG(2;F,18P) based on
- linear OOA(16122, 64, F16, 2, 117) (dual of [(64, 2), 6, 118]-NRT-code), using algebraic-geometric NRT-code AG(2;F,10P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
- linear OOA(16115, 64, F16, 2, 109) (dual of [(64, 2), 13, 110]-NRT-code), using algebraic-geometric NRT-code AG(2;F,18P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(167, 7, F16, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(167, 16, F16, 2, 7) (dual of [(16, 2), 25, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;25,16) [i]
- discarding factors / shortening the dual code based on linear OOA(167, 16, F16, 2, 7) (dual of [(16, 2), 25, 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.