Information on Result #1227868
Digital (52, 71, 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 (36, 55, 59049)-net over F81, using
- net defined by OOA [i] based on linear OOA(8155, 59049, F81, 19, 19) (dual of [(59049, 19), 1121876, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(8155, 531442, F81, 19) (dual of [531442, 531387, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 9-folding and stacking with additional row [i] based on linear OA(8155, 531442, F81, 19) (dual of [531442, 531387, 20]-code), using
- net defined by OOA [i] based on linear OOA(8155, 59049, F81, 19, 19) (dual of [(59049, 19), 1121876, 20]-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.