Information on Result #1230033
Digital (87, 97, 3387704)-net over F8, using (u, u+v)-construction based on
- digital (18, 23, 32264)-net over F8, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 0, 4033)-net over F8, using
- s-reduction based on digital (0, 0, s)-net over F8 for arbitrarily large s, using
- digital (0, 0, 4033)-net over F8 (see above)
- digital (0, 0, 4033)-net over F8 (see above)
- digital (0, 1, 4033)-net over F8, using
- s-reduction based on digital (0, 1, s)-net over F8 for arbitrarily large s, using
- digital (0, 1, 4033)-net over F8 (see above)
- digital (0, 1, 4033)-net over F8 (see above)
- digital (3, 5, 4033)-net over F8, using
- s-reduction based on digital (3, 5, 4681)-net over F8, using
- digital (10, 15, 4033)-net over F8, using
- net defined by OOA [i] based on linear OOA(815, 4033, F8, 5, 5) (dual of [(4033, 5), 20150, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(815, 8067, F8, 5) (dual of [8067, 8052, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(814, 8066, F8, 5) (dual of [8066, 8052, 6]-code), using
- trace code [i] based on linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(814, 8066, F8, 5) (dual of [8066, 8052, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(815, 8067, F8, 5) (dual of [8067, 8052, 6]-code), using
- net defined by OOA [i] based on linear OOA(815, 4033, F8, 5, 5) (dual of [(4033, 5), 20150, 6]-NRT-code), using
- digital (0, 0, 4033)-net over F8, using
- generalized (u, u+v)-construction [i] based on
- digital (64, 74, 3355440)-net over F8, using
- trace code for nets [i] based on digital (27, 37, 1677720)-net over F64, using
- net defined by OOA [i] based on linear OOA(6437, 1677720, F64, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(6437, 8388600, F64, 10) (dual of [8388600, 8388563, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(6437, 8388600, F64, 10) (dual of [8388600, 8388563, 11]-code), using
- net defined by OOA [i] based on linear OOA(6437, 1677720, F64, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using
- trace code for nets [i] based on digital (27, 37, 1677720)-net over F64, 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.