Information on Result #3180044
Digital (79, 93, 1172)-net over F2, using t-expansion based on digital (78, 93, 1172)-net over F2, using
- net defined by OOA [i] based on linear OOA(293, 1172, F2, 15, 15) (dual of [(1172, 15), 17487, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(293, 8205, F2, 15) (dual of [8205, 8112, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(293, 8206, F2, 15) (dual of [8206, 8113, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(292, 8192, F2, 15) (dual of [8192, 8100, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(279, 8192, F2, 13) (dual of [8192, 8113, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(21, 14, F2, 1) (dual of [14, 13, 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(14) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(293, 8206, F2, 15) (dual of [8206, 8113, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(293, 8205, F2, 15) (dual of [8205, 8112, 16]-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 (80, 94, 1172)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (81, 95, 1172)-net over F2 | [i] | ||
| 3 | Digital (82, 96, 1172)-net over F2 | [i] | ||