Information on Result #1227844
Digital (50, 68, 59294)-net over F81, using (u, u+v)-construction based on
- digital (7, 16, 245)-net over F81, using
- net defined by OOA [i] based on linear OOA(8116, 245, F81, 12, 9) (dual of [(245, 12), 2924, 10]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(8116, 246, F81, 4, 9) (dual of [(246, 4), 968, 10]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(813, 82, F81, 4, 3) (dual of [(82, 4), 325, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;325,81) [i]
- linear OOA(814, 82, F81, 4, 4) (dual of [(82, 4), 324, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;324,81) [i]
- linear OOA(819, 82, F81, 4, 9) (dual of [(82, 4), 319, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;319,81) [i]
- linear OOA(813, 82, F81, 4, 3) (dual of [(82, 4), 325, 4]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(8116, 246, F81, 4, 9) (dual of [(246, 4), 968, 10]-NRT-code), using
- net defined by OOA [i] based on linear OOA(8116, 245, F81, 12, 9) (dual of [(245, 12), 2924, 10]-NRT-code), using
- digital (34, 52, 59049)-net over F81, using
- net defined by OOA [i] based on linear OOA(8152, 59049, F81, 18, 18) (dual of [(59049, 18), 1062830, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- OA 9-folding and stacking [i] based on linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using
- net defined by OOA [i] based on linear OOA(8152, 59049, F81, 18, 18) (dual of [(59049, 18), 1062830, 19]-NRT-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.