Information on Result #1228792
Digital (29, 40, 1710617)-net over F256, using (u, u+v)-construction based on
- digital (4, 9, 32897)-net over F256, using
- net defined by OOA [i] based on linear OOA(2569, 32897, F256, 5, 5) (dual of [(32897, 5), 164476, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(2569, 32897, F256, 4, 5) (dual of [(32897, 4), 131579, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2562, 257, F256, 4, 2) (dual of [(257, 4), 1026, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1026,256) [i]
- linear OOA(2567, 32640, F256, 4, 5) (dual of [(32640, 4), 130553, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- linear OOA(2562, 257, F256, 4, 2) (dual of [(257, 4), 1026, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(2569, 32897, F256, 4, 5) (dual of [(32897, 4), 131579, 6]-NRT-code), using
- net defined by OOA [i] based on linear OOA(2569, 32897, F256, 5, 5) (dual of [(32897, 5), 164476, 6]-NRT-code), using
- digital (20, 31, 1677720)-net over F256, using
- net defined by OOA [i] based on linear OOA(25631, 1677720, F256, 11, 11) (dual of [(1677720, 11), 18454889, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(25631, 8388601, F256, 11) (dual of [8388601, 8388570, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(25631, large, F256, 11) (dual of [large, large−31, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(25631, large, F256, 11) (dual of [large, large−31, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(25631, 8388601, F256, 11) (dual of [8388601, 8388570, 12]-code), using
- net defined by OOA [i] based on linear OOA(25631, 1677720, F256, 11, 11) (dual of [(1677720, 11), 18454889, 12]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (53, 64, 1710617)-net in base 32 | [i] | Base Change | |