Information on Result #3186493
Digital (170, 194, 5462)-net over F2, using t-expansion based on digital (169, 194, 5462)-net over F2, using
- net defined by OOA [i] based on linear OOA(2194, 5462, F2, 25, 25) (dual of [(5462, 25), 136356, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(2194, 65545, F2, 25) (dual of [65545, 65351, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2194, 65553, F2, 25) (dual of [65553, 65359, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(2193, 65536, F2, 25) (dual of [65536, 65343, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2177, 65536, F2, 23) (dual of [65536, 65359, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(21, 17, F2, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(2194, 65553, F2, 25) (dual of [65553, 65359, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(2194, 65545, F2, 25) (dual of [65545, 65351, 26]-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 (171, 195, 5462)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (172, 196, 5462)-net over F2 | [i] | ||