Information on Result #1202476
Digital (37, 51, 75946)-net over F81, using net defined by OOA based on linear OOA(8151, 75946, F81, 14, 14) (dual of [(75946, 14), 1063193, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(8151, 531622, F81, 14) (dual of [531622, 531571, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8151, 531623, F81, 14) (dual of [531623, 531572, 15]-code), using
- (u, u+v)-construction [i] based on
- linear OA(8111, 182, F81, 7) (dual of [182, 171, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(813, 82, F81, 3) (dual of [82, 79, 4]-code or 82-arc in PG(2,81) or 82-cap in PG(2,81)), using
- extended Reed–Solomon code RSe(79,81) [i]
- oval in PG(2, 81) [i]
- linear OA(818, 100, F81, 7) (dual of [100, 92, 8]-code), using
- extended algebraic-geometric code AGe(F,92P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(813, 82, F81, 3) (dual of [82, 79, 4]-code or 82-arc in PG(2,81) or 82-cap in PG(2,81)), using
- (u, u+v)-construction [i] based on
- linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8111, 182, F81, 7) (dual of [182, 171, 8]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(8151, 531623, F81, 14) (dual of [531623, 531572, 15]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.