Information on Result #1010650
Linear OOA(3134, 2796243, F3, 3, 13) (dual of [(2796243, 3), 8388595, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(313, 42, F3, 3, 6) (dual of [(42, 3), 113, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 13, 42)-net over F3, using
- linear OOA(3121, 2796201, F3, 3, 13) (dual of [(2796201, 3), 8388482, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-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(3134, 2796243, F3, 3, 12) (dual of [(2796243, 3), 8388595, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3135, 2796243, F3, 3, 13) (dual of [(2796243, 3), 8388594, 14]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3136, 2796243, F3, 3, 13) (dual of [(2796243, 3), 8388593, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(3194, 5592444, F3, 3, 13) (dual of [(5592444, 3), 16777138, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(3134, 1398121, F3, 15, 13) (dual of [(1398121, 15), 20971681, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |