Information on Result #1215411
Digital (125, 140, 2399473)-net over F8, using (u, u+v)-construction based on
- digital (19, 26, 2731)-net over F8, using
- net defined by OOA [i] based on linear OOA(826, 2731, F8, 7, 7) (dual of [(2731, 7), 19091, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(826, 8194, F8, 7) (dual of [8194, 8168, 8]-code), using
- trace code [i] based on linear OA(6413, 4097, F64, 7) (dual of [4097, 4084, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- trace code [i] based on linear OA(6413, 4097, F64, 7) (dual of [4097, 4084, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(826, 8194, F8, 7) (dual of [8194, 8168, 8]-code), using
- net defined by OOA [i] based on linear OOA(826, 2731, F8, 7, 7) (dual of [(2731, 7), 19091, 8]-NRT-code), 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.