Information on Result #1182178
Digital (161, 184, 5961)-net over F2, using net defined by OOA based on linear OOA(2184, 5961, F2, 23, 23) (dual of [(5961, 23), 136919, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(2184, 65572, F2, 23) (dual of [65572, 65388, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2184, 65575, F2, 23) (dual of [65575, 65391, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- 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(2145, 65536, F2, 19) (dual of [65536, 65391, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(27, 39, F2, 3) (dual of [39, 32, 4]-code or 39-cap in PG(6,2)), using
- discarding factors / shortening the dual code based on linear OA(27, 63, F2, 3) (dual of [63, 56, 4]-code or 63-cap in PG(6,2)), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 4 [i]
- discarding factors / shortening the dual code based on linear OA(27, 63, F2, 3) (dual of [63, 56, 4]-code or 63-cap in PG(6,2)), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(2184, 65575, F2, 23) (dual of [65575, 65391, 24]-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 (162, 184, 5961)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (162, 185, 5961)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (163, 186, 5961)-net over F2 | [i] | ||
| 4 | Digital (164, 187, 5961)-net over F2 | [i] | ||