Information on Result #860474
Linear OOA(16126, 72, F16, 2, 90) (dual of [(72, 2), 18, 91]-NRT-code), using OOA 2-folding based on linear OA(16126, 144, F16, 90) (dual of [144, 18, 91]-code), using
- juxtaposition [i] based on
- linear OA(1647, 65, F16, 41) (dual of [65, 18, 42]-code), using
- extended algebraic-geometric code AGe(F,23P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,23P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1661, 79, F16, 48) (dual of [79, 18, 49]-code), using
- construction X applied to AG(F,15P) ⊂ AG(F,23P) [i] based on
- linear OA(1654, 64, F16, 48) (dual of [64, 10, 49]-code), using algebraic-geometric code AG(F,15P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1646, 64, F16, 40) (dual of [64, 18, 41]-code), using algebraic-geometric code AG(F,23P) [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
- construction X applied to AG(F,15P) ⊂ AG(F,23P) [i] based on
- linear OA(1647, 65, F16, 41) (dual of [65, 18, 42]-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.