Information on Result #1224968
Digital (79, 94, 1210319)-net over F32, using (u, u+v)-construction based on
- digital (16, 23, 11948)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (1, 4, 1025)-net over F32, using
- net defined by OOA [i] based on linear OOA(324, 1025, F32, 3, 3) (dual of [(1025, 3), 3071, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(324, 1025, F32, 2, 3) (dual of [(1025, 2), 2046, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(324, 1025, F32, 3, 3) (dual of [(1025, 3), 3071, 4]-NRT-code), using
- digital (12, 19, 10923)-net over F32, using
- net defined by OOA [i] based on linear OOA(3219, 10923, F32, 7, 7) (dual of [(10923, 7), 76442, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(3219, 32770, F32, 7) (dual of [32770, 32751, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(3219, 32771, F32, 7) (dual of [32771, 32752, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(3219, 32768, F32, 7) (dual of [32768, 32749, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(3216, 32768, F32, 6) (dual of [32768, 32752, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(3219, 32771, F32, 7) (dual of [32771, 32752, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(3219, 32770, F32, 7) (dual of [32770, 32751, 8]-code), using
- net defined by OOA [i] based on linear OOA(3219, 10923, F32, 7, 7) (dual of [(10923, 7), 76442, 8]-NRT-code), using
- digital (1, 4, 1025)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (56, 71, 1198371)-net over F32, using
- net defined by OOA [i] based on linear OOA(3271, 1198371, F32, 15, 15) (dual of [(1198371, 15), 17975494, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(3271, 8388598, F32, 15) (dual of [8388598, 8388527, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3271, large, F32, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3271, large, F32, 15) (dual of [large, large−71, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(3271, 8388598, F32, 15) (dual of [8388598, 8388527, 16]-code), using
- net defined by OOA [i] based on linear OOA(3271, 1198371, F32, 15, 15) (dual of [(1198371, 15), 17975494, 16]-NRT-code), 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.