Information on Result #1020059
Linear OOA(25665, 5592920, F256, 3, 13) (dual of [(5592920, 3), 16778695, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25620, 2861738, F256, 3, 6) (dual of [(2861738, 3), 8585194, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(2564, 65537, F256, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using
- linear OOA(25616, 2796201, F256, 3, 6) (dual of [(2796201, 3), 8388587, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25645, 2796460, F256, 3, 13) (dual of [(2796460, 3), 8389335, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2568, 259, F256, 3, 6) (dual of [(259, 3), 769, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 8, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- extracting embedded OOA [i] based on digital (2, 8, 259)-net over F256, using
- linear OOA(25637, 2796201, F256, 3, 13) (dual of [(2796201, 3), 8388566, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- OOA 3-folding [i] based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- linear OOA(2568, 259, F256, 3, 6) (dual of [(259, 3), 769, 7]-NRT-code), 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.
Other Results with Identical Parameters
None.
Depending Results
None.