Information on Result #1766650
Digital (162, 184, 398584)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3184, 398584, F3, 4, 22) (dual of [(398584, 4), 1594152, 23]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3184, 1594336, F3, 22) (dual of [1594336, 1594152, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3184, 1594337, F3, 22) (dual of [1594337, 1594153, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [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(3170, 1594323, F3, 20) (dual of [1594323, 1594153, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(31, 14, F3, 1) (dual of [14, 13, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3184, 1594337, F3, 22) (dual of [1594337, 1594153, 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 (163, 185, 398584)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (164, 186, 398584)-net over F3 | [i] | ||