Information on Result #1204358
Digital (10, 20, 13108)-net over F256, using net defined by OOA based on linear OOA(25620, 13108, F256, 10, 10) (dual of [(13108, 10), 131060, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(25620, 65540, F256, 10) (dual of [65540, 65520, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(25620, 65541, F256, 10) (dual of [65541, 65521, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(25619, 65536, F256, 10) (dual of [65536, 65517, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(25620, 65541, F256, 10) (dual of [65541, 65521, 11]-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 | Digital (32, 42, 3355648)-net over F256 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 2 | (22, 32, 13108)-net in base 32 | [i] | Base Change | |