Information on Result #1182380
Digital (229, 254, 174764)-net over F2, using net defined by OOA based on linear OOA(2254, 174764, F2, 25, 25) (dual of [(174764, 25), 4368846, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(2254, 2097169, F2, 25) (dual of [2097169, 2096915, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2254, 2097174, F2, 25) (dual of [2097174, 2096920, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(2253, 2097152, F2, 25) (dual of [2097152, 2096899, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2232, 2097152, F2, 23) (dual of [2097152, 2096920, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(21, 22, F2, 1) (dual of [22, 21, 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(2254, 2097174, F2, 25) (dual of [2097174, 2096920, 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 (230, 254, 174764)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (230, 255, 174764)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (231, 256, 174764)-net over F2 | [i] | ||
| 4 | Digital (232, 257, 174764)-net over F2 | [i] | ||
| 5 | Digital (233, 258, 174764)-net over F2 | [i] | ||