Information on Result #894923
Linear OOA(381, 4194309, F3, 2, 8) (dual of [(4194309, 2), 8388537, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(35, 8, F3, 2, 4) (dual of [(8, 2), 11, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 8)-net over F3, using
- linear OOA(376, 4194301, F3, 2, 8) (dual of [(4194301, 2), 8388526, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(376, 8388602, F3, 8) (dual of [8388602, 8388526, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- OOA 2-folding [i] based on linear OA(376, 8388602, F3, 8) (dual of [8388602, 8388526, 9]-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(381, 4194309, F3, 3, 8) (dual of [(4194309, 3), 12582846, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(381, 4194309, F3, 4, 8) (dual of [(4194309, 4), 16777155, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(381, 4194309, F3, 5, 8) (dual of [(4194309, 5), 20971464, 9]-NRT-code) | [i] | ||
| 4 | Digital (73, 81, 4194309)-net over F3 | [i] | ||
| 5 | Linear OOA(381, 2097154, F3, 4, 8) (dual of [(2097154, 4), 8388535, 9]-NRT-code) | [i] | OOA Folding | |