Information on Result #3264727
Digital (96, 107, large)-net over F25, using 2512 times duplication based on digital (84, 95, large)-net over F25, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 0, 391875)-net over F25, using
- s-reduction based on digital (0, 0, s)-net over F25 for arbitrarily large s, using
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 0, 391875)-net over F25 (see above)
- digital (0, 1, 391875)-net over F25, using
- s-reduction based on digital (0, 1, s)-net over F25 for arbitrarily large s, using
- digital (0, 1, 391875)-net over F25 (see above)
- digital (0, 1, 391875)-net over F25 (see above)
- digital (0, 1, 391875)-net over F25 (see above)
- digital (0, 1, 391875)-net over F25 (see above)
- digital (0, 1, 391875)-net over F25 (see above)
- digital (3, 5, 391875)-net over F25, using
- s-reduction based on digital (3, 5, 406901)-net over F25, using
- digital (3, 5, 391875)-net over F25 (see above)
- digital (4, 7, 391875)-net over F25, using
- net defined by OOA [i] based on linear OOA(257, 391875, F25, 3, 3) (dual of [(391875, 3), 1175618, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(257, 391875, F25, 2, 3) (dual of [(391875, 2), 783743, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(257, 391875, F25, 3, 3) (dual of [(391875, 3), 1175618, 4]-NRT-code), using
- digital (16, 21, 1677720)-net over F25, using
- s-reduction based on digital (16, 21, 4194301)-net over F25, using
- net defined by OOA [i] based on linear OOA(2521, 4194301, F25, 5, 5) (dual of [(4194301, 5), 20971484, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(2521, large, F25, 5) (dual of [large, large−21, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(2521, large, F25, 5) (dual of [large, large−21, 6]-code), using
- net defined by OOA [i] based on linear OOA(2521, 4194301, F25, 5, 5) (dual of [(4194301, 5), 20971484, 6]-NRT-code), using
- s-reduction based on digital (16, 21, 4194301)-net over F25, using
- digital (40, 51, 1677720)-net over F25, using
- net defined by OOA [i] based on linear OOA(2551, 1677720, F25, 11, 11) (dual of [(1677720, 11), 18454869, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(2551, 8388601, F25, 11) (dual of [8388601, 8388550, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2551, large, F25, 11) (dual of [large, large−51, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, 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(2551, large, F25, 11) (dual of [large, large−51, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(2551, 8388601, F25, 11) (dual of [8388601, 8388550, 12]-code), using
- net defined by OOA [i] based on linear OOA(2551, 1677720, F25, 11, 11) (dual of [(1677720, 11), 18454869, 12]-NRT-code), using
- digital (0, 0, 391875)-net over F25, 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.