Information on Result #1229943
Digital (155, 170, 4793512)-net over F8, using generalized (u, u+v)-construction based on
- digital (2, 7, 28)-net over F8, using
- net defined by OOA [i] based on linear OOA(87, 28, F8, 5, 5) (dual of [(28, 5), 133, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- net defined by OOA [i] based on linear OOA(87, 28, F8, 5, 5) (dual of [(28, 5), 133, 6]-NRT-code), using
- digital (42, 49, 2396742)-net over F8, using
- s-reduction based on digital (42, 49, 2796200)-net over F8, using
- net defined by OOA [i] based on linear OOA(849, 2796200, F8, 7, 7) (dual of [(2796200, 7), 19573351, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(849, 8388601, F8, 7) (dual of [8388601, 8388552, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(849, large, F8, 7) (dual of [large, large−49, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(849, large, F8, 7) (dual of [large, large−49, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(849, 8388601, F8, 7) (dual of [8388601, 8388552, 8]-code), using
- net defined by OOA [i] based on linear OOA(849, 2796200, F8, 7, 7) (dual of [(2796200, 7), 19573351, 8]-NRT-code), using
- s-reduction based on digital (42, 49, 2796200)-net over F8, using
- digital (99, 114, 2396742)-net over F8, using
- trace code for nets [i] based on digital (42, 57, 1198371)-net over F64, using
- net defined by OOA [i] based on linear OOA(6457, 1198371, F64, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(6457, 8388598, F64, 15) (dual of [8388598, 8388541, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(6457, 8388598, F64, 15) (dual of [8388598, 8388541, 16]-code), using
- net defined by OOA [i] based on linear OOA(6457, 1198371, F64, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using
- trace code for nets [i] based on digital (42, 57, 1198371)-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.