Information on Result #860654
Linear OOA(16130, 70, F16, 2, 104) (dual of [(70, 2), 10, 105]-NRT-code), using OOA 2-folding based on linear OA(16130, 140, F16, 104) (dual of [140, 10, 105]-code), using
- juxtaposition [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, using
- the Hermitian function field over F16 [i]
- algebraic-geometric code AG(F,15P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1666, 76, F16, 55) (dual of [76, 10, 56]-code), using
- construction X applied to AG(F,8P) ⊂ AG(F,15P) [i] based on
- linear OA(1660, 64, F16, 55) (dual of [64, 4, 56]-code), using algebraic-geometric code AG(F,8P) 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 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(166, 12, F16, 6) (dual of [12, 6, 7]-code or 12-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- Reed–Solomon code RS(10,16) [i]
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- construction X applied to AG(F,8P) ⊂ AG(F,15P) [i] based on
- linear OA(1654, 64, F16, 48) (dual of [64, 10, 49]-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.