Information on Result #1080861
Linear OOA(383, 2097176, F3, 4, 8) (dual of [(2097176, 4), 8388621, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(37, 26, F3, 4, 4) (dual of [(26, 4), 97, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(37, 26, F3, 3, 4) (dual of [(26, 3), 71, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 7, 26)-net over F3, using
- appending kth column [i] based on linear OOA(37, 26, F3, 3, 4) (dual of [(26, 3), 71, 5]-NRT-code), using
- linear OOA(376, 2097150, F3, 4, 8) (dual of [(2097150, 4), 8388524, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(376, 8388600, F3, 8) (dual of [8388600, 8388524, 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 4-folding [i] based on linear OA(376, 8388600, F3, 8) (dual of [8388600, 8388524, 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(3111, 4194352, F3, 4, 8) (dual of [(4194352, 4), 16777297, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(383, 2097175, F3, 5, 8) (dual of [(2097175, 5), 10485792, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(383, 2097175, F3, 12, 8) (dual of [(2097175, 12), 25166017, 9]-NRT-code) | [i] | ||