Information on Result #1187898
Digital (203, 237, 15423)-net over F4, using net defined by OOA based on linear OOA(4237, 15423, F4, 34, 34) (dual of [(15423, 34), 524145, 35]-NRT-code), using
- OA 17-folding and stacking [i] based on linear OA(4237, 262191, F4, 34) (dual of [262191, 261954, 35]-code), using
- 4 times code embedding in larger space [i] based on linear OA(4233, 262187, F4, 34) (dual of [262187, 261954, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- linear OA(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(4233, 262187, F4, 34) (dual of [262187, 261954, 35]-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 (204, 238, 15423)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (205, 239, 15423)-net over F4 | [i] | ||
| 3 | Digital (206, 240, 15423)-net over F4 | [i] | ||
| 4 | Digital (207, 241, 15423)-net over F4 | [i] | ||