Information on Result #3266019
Digital (89, 100, large)-net over F32, using 329 times duplication based on digital (80, 91, large)-net over F32, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 0, 524289)-net over F32, using
- s-reduction based on digital (0, 0, s)-net over F32 for arbitrarily large s, using
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 0, 524289)-net over F32 (see above)
- digital (0, 1, 524289)-net over F32, using
- s-reduction based on digital (0, 1, s)-net over F32 for arbitrarily large s, using
- digital (0, 1, 524289)-net over F32 (see above)
- digital (0, 1, 524289)-net over F32 (see above)
- digital (0, 1, 524289)-net over F32 (see above)
- digital (0, 1, 524289)-net over F32 (see above)
- digital (0, 1, 524289)-net over F32 (see above)
- digital (3, 5, 524289)-net over F32, using
- s-reduction based on digital (3, 5, 1082401)-net over F32, using
- digital (3, 5, 524289)-net over F32 (see above)
- digital (4, 7, 524289)-net over F32, using
- s-reduction based on digital (4, 7, 1050624)-net over F32, using
- net defined by OOA [i] based on linear OOA(327, 1050624, F32, 3, 3) (dual of [(1050624, 3), 3151865, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(327, 1050624, F32, 2, 3) (dual of [(1050624, 2), 2101241, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(327, 1050624, F32, 3, 3) (dual of [(1050624, 3), 3151865, 4]-NRT-code), using
- s-reduction based on digital (4, 7, 1050624)-net over F32, using
- digital (12, 17, 524289)-net over F32, using
- net defined by OOA [i] based on linear OOA(3217, 524289, F32, 5, 5) (dual of [(524289, 5), 2621428, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(3217, 1048579, F32, 5) (dual of [1048579, 1048562, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(3217, 1048580, F32, 5) (dual of [1048580, 1048563, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(3217, 1048576, F32, 5) (dual of [1048576, 1048559, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(3213, 1048576, F32, 4) (dual of [1048576, 1048563, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 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(4) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(3217, 1048580, F32, 5) (dual of [1048580, 1048563, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(3217, 1048579, F32, 5) (dual of [1048579, 1048562, 6]-code), using
- net defined by OOA [i] based on linear OOA(3217, 524289, F32, 5, 5) (dual of [(524289, 5), 2621428, 6]-NRT-code), using
- digital (40, 51, 1677720)-net over F32, using
- net defined by OOA [i] based on linear OOA(3251, 1677720, F32, 11, 11) (dual of [(1677720, 11), 18454869, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(3251, 8388601, F32, 11) (dual of [8388601, 8388550, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3251, large, F32, 11) (dual of [large, large−51, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3251, large, F32, 11) (dual of [large, large−51, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(3251, 8388601, F32, 11) (dual of [8388601, 8388550, 12]-code), using
- net defined by OOA [i] based on linear OOA(3251, 1677720, F32, 11, 11) (dual of [(1677720, 11), 18454869, 12]-NRT-code), using
- digital (0, 0, 524289)-net over F32, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.