Information on Result #1823546
(22, 28, 21846)-net in base 8, using base change based on digital (15, 21, 21846)-net over F16, using
- net defined by OOA [i] based on linear OOA(1621, 21846, F16, 6, 6) (dual of [(21846, 6), 131055, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(1621, 65538, F16, 6) (dual of [65538, 65517, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(1621, 65540, F16, 6) (dual of [65540, 65519, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(1621, 65536, F16, 6) (dual of [65536, 65515, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1617, 65536, F16, 5) (dual of [65536, 65519, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(160, 4, F16, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(1621, 65540, F16, 6) (dual of [65540, 65519, 7]-code), using
- OA 3-folding and stacking [i] based on linear OA(1621, 65538, F16, 6) (dual of [65538, 65517, 7]-code), using
Mode: Constructive.
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 | (106, 118, 2818046)-net in base 8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | (113, 126, 2818046)-net in base 8 | [i] | ||