Information on Result #1218978
Digital (115, 129, 4793584)-net over F16, using (u, u+v)-construction based on
- digital (30, 37, 2796200)-net over F16, using
- net defined by OOA [i] based on linear OOA(1637, 2796200, F16, 7, 7) (dual of [(2796200, 7), 19573363, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(1637, 8388601, F16, 7) (dual of [8388601, 8388564, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(1637, large, F16, 7) (dual of [large, large−37, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 1612−1, 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(1637, large, F16, 7) (dual of [large, large−37, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(1637, 8388601, F16, 7) (dual of [8388601, 8388564, 8]-code), using
- net defined by OOA [i] based on linear OOA(1637, 2796200, F16, 7, 7) (dual of [(2796200, 7), 19573363, 8]-NRT-code), using
- digital (78, 92, 2396792)-net over F16, using
- (u, u+v)-construction [i] based on
- digital (5, 12, 50)-net over F16, using
- (u, u+v)-construction [i] based on
- digital (0, 3, 17)-net over F16, using
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 0 and N(F) ≥ 17, using
- the rational function field F16(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- digital (2, 9, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- digital (0, 3, 17)-net over F16, using
- (u, u+v)-construction [i] based on
- 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
- digital (5, 12, 50)-net over F16, using
- (u, u+v)-construction [i] based on
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.