Information on Result #3189268
Digital (197, 223, 10083)-net over F2, using t-expansion based on digital (196, 223, 10083)-net over F2, using
- net defined by OOA [i] based on linear OOA(2223, 10083, F2, 27, 27) (dual of [(10083, 27), 272018, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(2223, 131080, F2, 27) (dual of [131080, 130857, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2223, 131090, F2, 27) (dual of [131090, 130867, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- linear OA(2222, 131072, F2, 27) (dual of [131072, 130850, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2205, 131072, F2, 25) (dual of [131072, 130867, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(21, 18, F2, 1) (dual of [18, 17, 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(26) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(2223, 131090, F2, 27) (dual of [131090, 130867, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(2223, 131080, F2, 27) (dual of [131080, 130857, 28]-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 (198, 224, 10083)-net over F2 | [i] | Net Duplication | |