Information on Result #1769860
Digital (197, 223, 398584)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3223, 398584, F3, 4, 26) (dual of [(398584, 4), 1594113, 27]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3222, 398584, F3, 4, 26) (dual of [(398584, 4), 1594114, 27]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3222, 1594336, F3, 26) (dual of [1594336, 1594114, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(3222, 1594323, F3, 26) (dual of [1594323, 1594101, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3209, 1594323, F3, 25) (dual of [1594323, 1594114, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(25) ⊂ Ce(24) [i] based on
- OOA 4-folding [i] based on linear OA(3222, 1594336, F3, 26) (dual of [1594336, 1594114, 27]-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 (198, 224, 398584)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (199, 225, 398584)-net over F3 | [i] | ||