Information on Result #895186
Linear OOA(3179, 4194318, F3, 2, 17) (dual of [(4194318, 2), 8388457, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(313, 17, F3, 2, 8) (dual of [(17, 2), 21, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 13, 17)-net over F3, using
- linear OOA(3166, 4194301, F3, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3179, 3255381, F3, 3, 17) (dual of [(3255381, 3), 9765964, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3179, 3255381, F3, 4, 17) (dual of [(3255381, 4), 13021345, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(3179, 3255381, F3, 5, 17) (dual of [(3255381, 5), 16276726, 18]-NRT-code) | [i] | ||
| 4 | Digital (162, 179, 3255381)-net over F3 | [i] | ||
| 5 | Linear OOA(3179, 2097159, F3, 4, 17) (dual of [(2097159, 4), 8388457, 18]-NRT-code) | [i] | OOA Folding | |