Information on Result #1189476
Digital (124, 147, 35513)-net over F5, using net defined by OOA based on linear OOA(5147, 35513, F5, 23, 23) (dual of [(35513, 23), 816652, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(5147, 390644, F5, 23) (dual of [390644, 390497, 24]-code), using
- 1 times code embedding in larger space [i] based on linear OA(5146, 390643, F5, 23) (dual of [390643, 390497, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(5145, 390626, F5, 23) (dual of [390626, 390481, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(5129, 390626, F5, 21) (dual of [390626, 390497, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(51, 17, F5, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(5146, 390643, F5, 23) (dual of [390643, 390497, 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 (125, 148, 35513)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (126, 149, 35513)-net over F5 | [i] | ||
| 3 | Digital (127, 150, 35513)-net over F5 | [i] | ||