Information on Result #1227781
Digital (44, 60, 66675)-net over F81, using (u, u+v)-construction based on
- digital (6, 14, 245)-net over F81, using
- net defined by OOA [i] based on linear OOA(8114, 245, F81, 12, 8) (dual of [(245, 12), 2926, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(8114, 246, F81, 4, 8) (dual of [(246, 4), 970, 9]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(812, 82, F81, 4, 2) (dual of [(82, 4), 326, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;326,81) [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(818, 82, F81, 4, 8) (dual of [(82, 4), 320, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;320,81) [i]
- linear OOA(812, 82, F81, 4, 2) (dual of [(82, 4), 326, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(8114, 246, F81, 4, 8) (dual of [(246, 4), 970, 9]-NRT-code), using
- net defined by OOA [i] based on linear OOA(8114, 245, F81, 12, 8) (dual of [(245, 12), 2926, 9]-NRT-code), using
- digital (30, 46, 66430)-net over F81, using
- net defined by OOA [i] based on linear OOA(8146, 66430, F81, 16, 16) (dual of [(66430, 16), 1062834, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(8146, 531440, F81, 16) (dual of [531440, 531394, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(8146, 531440, F81, 16) (dual of [531440, 531394, 17]-code), using
- net defined by OOA [i] based on linear OOA(8146, 66430, F81, 16, 16) (dual of [(66430, 16), 1062834, 17]-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.