Information on Result #1195668
Digital (98, 123, 87384)-net over F16, using net defined by OOA based on linear OOA(16123, 87384, F16, 25, 25) (dual of [(87384, 25), 2184477, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(16123, 1048609, F16, 25) (dual of [1048609, 1048486, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(16123, 1048613, F16, 25) (dual of [1048613, 1048490, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(18) [i] based on
- linear OA(16116, 1048576, F16, 25) (dual of [1048576, 1048460, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(1686, 1048576, F16, 19) (dual of [1048576, 1048490, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(167, 37, F16, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(167, 241, F16, 5) (dual of [241, 234, 6]-code), using
- construction X applied to Ce(24) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(16123, 1048613, F16, 25) (dual of [1048613, 1048490, 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 (99, 124, 87384)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (100, 125, 87384)-net over F16 | [i] | ||