Information on Result #654345
Linear OA(6462, 213, F64, 37) (dual of [213, 151, 38]-code), using construction X applied to AG(F,138P) ⊂ AG(F,157P) based on
- linear OA(6444, 176, F64, 37) (dual of [176, 132, 38]-code), using algebraic-geometric code AG(F,138P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6425, 176, F64, 18) (dual of [176, 151, 19]-code), using algebraic-geometric code AG(F,157P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(6418, 37, F64, 18) (dual of [37, 19, 19]-code or 37-arc in PG(17,64)), using
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
- Reed–Solomon code RS(46,64) [i]
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), 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.