Information on Result #1218961
Digital (92, 106, 2440433)-net over F16, using (u, u+v)-construction based on
- digital (19, 26, 43691)-net over F16, using
- net defined by OOA [i] based on linear OOA(1626, 43691, F16, 7, 7) (dual of [(43691, 7), 305811, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(1626, 131074, F16, 7) (dual of [131074, 131048, 8]-code), using
- trace code [i] based on linear OA(25613, 65537, F256, 7) (dual of [65537, 65524, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- trace code [i] based on linear OA(25613, 65537, F256, 7) (dual of [65537, 65524, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(1626, 131074, F16, 7) (dual of [131074, 131048, 8]-code), using
- net defined by OOA [i] based on linear OOA(1626, 43691, F16, 7, 7) (dual of [(43691, 7), 305811, 8]-NRT-code), using
- digital (66, 80, 2396742)-net over F16, using
- trace code for nets [i] based on digital (26, 40, 1198371)-net over F256, using
- net defined by OOA [i] based on linear OOA(25640, 1198371, F256, 14, 14) (dual of [(1198371, 14), 16777154, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(25640, 8388597, F256, 14) (dual of [8388597, 8388557, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(25640, 8388597, F256, 14) (dual of [8388597, 8388557, 15]-code), using
- net defined by OOA [i] based on linear OOA(25640, 1198371, F256, 14, 14) (dual of [(1198371, 14), 16777154, 15]-NRT-code), using
- trace code for nets [i] based on digital (26, 40, 1198371)-net over F256, 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.