Information on Result #2254790
Linear OA(16120, 135, F16, 91) (dual of [135, 15, 92]-code), using 1 times truncation based on linear OA(16121, 136, F16, 92) (dual of [136, 15, 93]-code), using
- juxtaposition [i] based on
- linear OA(1650, 65, F16, 44) (dual of [65, 15, 45]-code), using
- extended algebraic-geometric code AGe(F,20P) [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,20P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1656, 71, F16, 47) (dual of [71, 15, 48]-code), using
- construction X applied to AG(F,16P) ⊂ AG(F,20P) [i] based on
- linear OA(1653, 64, F16, 47) (dual of [64, 11, 48]-code), using algebraic-geometric code AG(F,16P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1649, 64, F16, 43) (dual of [64, 15, 44]-code), using algebraic-geometric code AG(F,20P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(163, 7, F16, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,16) or 7-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- construction X applied to AG(F,16P) ⊂ AG(F,20P) [i] based on
- linear OA(1650, 65, F16, 44) (dual of [65, 15, 45]-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.