Information on Result #1210314
Digital (216, 230, 6396353)-net over F4, using (u, u+v)-construction based on
- digital (64, 71, 2801240)-net over F4, using
- net defined by OOA [i] based on linear OOA(471, 2801240, F4, 9, 7) (dual of [(2801240, 9), 25211089, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(471, 2801241, F4, 3, 7) (dual of [(2801241, 3), 8403652, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(410, 5040, F4, 3, 3) (dual of [(5040, 3), 15110, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(410, 5040, F4, 2, 3) (dual of [(5040, 2), 10070, 4]-NRT-code), using
- linear OOA(461, 2796201, F4, 3, 7) (dual of [(2796201, 3), 8388542, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(461, large, F4, 7) (dual of [large, large−61, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OOA 3-folding [i] based on linear OA(461, large, F4, 7) (dual of [large, large−61, 8]-code), using
- linear OOA(410, 5040, F4, 3, 3) (dual of [(5040, 3), 15110, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(471, 2801241, F4, 3, 7) (dual of [(2801241, 3), 8403652, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(471, 2801240, F4, 9, 7) (dual of [(2801240, 9), 25211089, 8]-NRT-code), using
- digital (145, 159, 3595113)-net over F4, using
- trace code for nets [i] based on digital (39, 53, 1198371)-net over F64, using
- net defined by OOA [i] based on linear OOA(6453, 1198371, F64, 14, 14) (dual of [(1198371, 14), 16777141, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(6453, 8388597, F64, 14) (dual of [8388597, 8388544, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(6453, 8388597, F64, 14) (dual of [8388597, 8388544, 15]-code), using
- net defined by OOA [i] based on linear OOA(6453, 1198371, F64, 14, 14) (dual of [(1198371, 14), 16777141, 15]-NRT-code), using
- trace code for nets [i] based on digital (39, 53, 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.