Information on Result #1195452
Digital (60, 80, 13108)-net over F16, using net defined by OOA based on linear OOA(1680, 13108, F16, 20, 20) (dual of [(13108, 20), 262080, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(1680, 131080, F16, 20) (dual of [131080, 131000, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1680, 131082, F16, 20) (dual of [131082, 131002, 21]-code), using
- trace code [i] based on linear OA(25640, 65541, F256, 20) (dual of [65541, 65501, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(19) ⊂ Ce(17) [i] based on
- trace code [i] based on linear OA(25640, 65541, F256, 20) (dual of [65541, 65501, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1680, 131082, F16, 20) (dual of [131082, 131002, 21]-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 (61, 81, 13108)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (62, 82, 13108)-net over F16 | [i] | ||