Information on Result #645492
Linear OA(1672, 82, F16, 58) (dual of [82, 10, 59]-code), using construction XX applied to AG(F,0P) ⊂ AG(F,14P) ⊂ AG(F,15P) based on
- linear OA(1663, 64, F16, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,16)), using algebraic-geometric code AG(F,0P) [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(1655, 64, F16, 49) (dual of [64, 9, 50]-code), using algebraic-geometric code AG(F,14P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- 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(168, 17, F16, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,16)), using
- extended Reed–Solomon code RSe(9,16) [i]
- linear OA(160, 1, F16, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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.