Information on Result #1766868
Digital (165, 187, 398588)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3187, 398588, F3, 4, 22) (dual of [(398588, 4), 1594165, 23]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3187, 1594352, F3, 22) (dual of [1594352, 1594165, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3187, 1594353, F3, 22) (dual of [1594353, 1594166, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3157, 1594323, F3, 19) (dual of [1594323, 1594166, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(34, 30, F3, 2) (dual of [30, 26, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(3187, 1594353, F3, 22) (dual of [1594353, 1594166, 23]-code), using
Mode: 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 (166, 188, 398588)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (167, 189, 398588)-net over F3 | [i] | ||