Information on Result #1021131
Linear OOA(3188, 5592428, F3, 3, 13) (dual of [(5592428, 3), 16777096, 14]-NRT-code), using generalized (u, u+v)-construction 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
- linear OOA(360, 2796201, F3, 3, 6) (dual of [(2796201, 3), 8388543, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), 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(3188, 2796214, F3, 5, 13) (dual of [(2796214, 5), 13980882, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3188, 2796213, F3, 15, 13) (dual of [(2796213, 15), 41943007, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |