Information on Result #1210022
Digital (133, 143, 7235167)-net over F4, using (u, u+v)-construction based on
- digital (26, 31, 524287)-net over F4, using
- net defined by OOA [i] based on linear OOA(431, 524287, F4, 5, 5) (dual of [(524287, 5), 2621404, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(431, 1048575, F4, 5) (dual of [1048575, 1048544, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(431, 1048576, F4, 5) (dual of [1048576, 1048545, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(431, 1048576, F4, 5) (dual of [1048576, 1048545, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(431, 1048575, F4, 5) (dual of [1048575, 1048544, 6]-code), using
- net defined by OOA [i] based on linear OOA(431, 524287, F4, 5, 5) (dual of [(524287, 5), 2621404, 6]-NRT-code), using
- digital (102, 112, 6710880)-net over F4, using
- trace code for nets [i] based on digital (18, 28, 1677720)-net over F256, using
- net defined by OOA [i] based on linear OOA(25628, 1677720, F256, 10, 10) (dual of [(1677720, 10), 16777172, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(25628, 8388600, F256, 10) (dual of [8388600, 8388572, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(25628, large, F256, 10) (dual of [large, large−28, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(25628, large, F256, 10) (dual of [large, large−28, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(25628, 8388600, F256, 10) (dual of [8388600, 8388572, 11]-code), using
- net defined by OOA [i] based on linear OOA(25628, 1677720, F256, 10, 10) (dual of [(1677720, 10), 16777172, 11]-NRT-code), using
- trace code for nets [i] based on digital (18, 28, 1677720)-net over F256, 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.