Information on Result #3263959
Digital (111, 126, 4793484)-net over F16, using 163 times duplication based on digital (108, 123, 4793484)-net over F16, using
- (u, u+v)-construction [i] 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 (71, 86, 2396742)-net over F16, using
- trace code for nets [i] based on digital (28, 43, 1198371)-net over F256, using
- net defined by OOA [i] based on linear OOA(25643, 1198371, F256, 15, 15) (dual of [(1198371, 15), 17975522, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(25643, 8388598, F256, 15) (dual of [8388598, 8388555, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(25643, 8388598, F256, 15) (dual of [8388598, 8388555, 16]-code), using
- net defined by OOA [i] based on linear OOA(25643, 1198371, F256, 15, 15) (dual of [(1198371, 15), 17975522, 16]-NRT-code), using
- trace code for nets [i] based on digital (28, 43, 1198371)-net over F256, using
- digital (30, 37, 2796200)-net over F16, 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.