Information on Result #1184378
Digital (128, 145, 199292)-net over F3, using net defined by OOA based on linear OOA(3145, 199292, F3, 17, 17) (dual of [(199292, 17), 3387819, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(3145, 1594337, F3, 17) (dual of [1594337, 1594192, 18]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3144, 1594336, F3, 17) (dual of [1594336, 1594192, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(3144, 1594323, F3, 17) (dual of [1594323, 1594179, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(30, 13, F3, 0) (dual of [13, 13, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3144, 1594336, F3, 17) (dual of [1594336, 1594192, 18]-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 (129, 146, 199292)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (130, 147, 199292)-net over F3 | [i] | ||