Information on Result #1080904
Linear OOA(3100, 2097271, F3, 4, 9) (dual of [(2097271, 4), 8388984, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(310, 121, F3, 4, 4) (dual of [(121, 4), 474, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(310, 121, F3, 3, 4) (dual of [(121, 3), 353, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 10, 121)-net over F3, using
- appending kth column [i] based on linear OOA(310, 121, F3, 3, 4) (dual of [(121, 3), 353, 5]-NRT-code), using
- linear OOA(390, 2097150, F3, 4, 9) (dual of [(2097150, 4), 8388510, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(390, 8388600, F3, 9) (dual of [8388600, 8388510, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- OOA 4-folding [i] based on linear OA(390, 8388600, F3, 9) (dual of [8388600, 8388510, 10]-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(3128, 4194542, F3, 4, 9) (dual of [(4194542, 4), 16778040, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3100, 2097270, F3, 5, 9) (dual of [(2097270, 5), 10486250, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(3100, 2097270, F3, 12, 9) (dual of [(2097270, 12), 25167140, 10]-NRT-code) | [i] | ||