Information on Result #1227570
Digital (16, 26, 2624)-net over F81, using (u, u+v)-construction based on
- digital (2, 7, 3240)-net over F81, using
- net defined by OOA [i] based on linear OOA(817, 3240, F81, 5, 5) (dual of [(3240, 5), 16193, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(817, 3240, F81, 4, 5) (dual of [(3240, 4), 12953, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- appending kth column [i] based on linear OOA(817, 3240, F81, 4, 5) (dual of [(3240, 4), 12953, 6]-NRT-code), using
- net defined by OOA [i] based on linear OOA(817, 3240, F81, 5, 5) (dual of [(3240, 5), 16193, 6]-NRT-code), using
- digital (9, 19, 1312)-net over F81, using
- net defined by OOA [i] based on linear OOA(8119, 1312, F81, 10, 10) (dual of [(1312, 10), 13101, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(8119, 6560, F81, 10) (dual of [6560, 6541, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(8119, 6561, F81, 10) (dual of [6561, 6542, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(8119, 6561, F81, 10) (dual of [6561, 6542, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(8119, 6560, F81, 10) (dual of [6560, 6541, 11]-code), using
- net defined by OOA [i] based on linear OOA(8119, 1312, F81, 10, 10) (dual of [(1312, 10), 13101, 11]-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.