Information on Result #859203
Linear OOA(1669, 39, F16, 2, 57) (dual of [(39, 2), 9, 58]-NRT-code), using OOA 2-folding based on linear OA(1669, 78, F16, 57) (dual of [78, 9, 58]-code), using
- discarding factors / shortening the dual code based on linear OA(1669, 79, F16, 57) (dual of [79, 10, 58]-code), using
- 1 times truncation [i] based on linear OA(1670, 80, F16, 58) (dual of [80, 10, 59]-code), using
- construction X applied to AG(F,5P) ⊂ AG(F,15P) [i] based on
- linear OA(1661, 64, F16, 58) (dual of [64, 3, 59]-code), using algebraic-geometric code AG(F,5P) 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(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- Reed–Solomon code RS(7,16) [i]
- construction X applied to AG(F,5P) ⊂ AG(F,15P) [i] based on
- 1 times truncation [i] based on linear OA(1670, 80, F16, 58) (dual of [80, 10, 59]-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.