Information on Result #657021
Linear OA(12867, 318, F128, 43) (dual of [318, 251, 44]-code), using construction X applied to AG(F,243P) ⊂ AG(F,259P) based on
- linear OA(12852, 287, F128, 43) (dual of [287, 235, 44]-code), using algebraic-geometric code AG(F,243P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12836, 287, F128, 27) (dual of [287, 251, 28]-code), using algebraic-geometric code AG(F,259P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(12815, 31, F128, 15) (dual of [31, 16, 16]-code or 31-arc in PG(14,128)), using
- discarding factors / shortening the dual code based on linear OA(12815, 128, F128, 15) (dual of [128, 113, 16]-code or 128-arc in PG(14,128)), using
- Reed–Solomon code RS(113,128) [i]
- discarding factors / shortening the dual code based on linear OA(12815, 128, F128, 15) (dual of [128, 113, 16]-code or 128-arc in PG(14,128)), 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.