Information on Result #856871
Linear OOA(1635, 39, F16, 2, 22) (dual of [(39, 2), 43, 23]-NRT-code), using OOA 2-folding based on linear OA(1635, 78, F16, 22) (dual of [78, 43, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(1635, 79, F16, 22) (dual of [79, 44, 23]-code), using
- construction X applied to AG(F,41P) ⊂ AG(F,49P) [i] based on
- linear OA(1628, 64, F16, 22) (dual of [64, 36, 23]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OA(1620, 64, F16, 14) (dual of [64, 44, 15]-code), using algebraic-geometric code AG(F,49P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(167, 15, F16, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- linear OA(1628, 64, F16, 22) (dual of [64, 36, 23]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- construction X applied to AG(F,41P) ⊂ AG(F,49P) [i] based on
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.