Information on Result #2485363
Linear OOA(3221, large, F3, 2, 9), using 51 times NRT-code embedding in larger space based on linear OOA(3119, 8388602, F3, 2, 9) (dual of [(8388602, 2), 16777085, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(329, 4782968, F3, 2, 4) (dual of [(4782968, 2), 9565907, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (25, 29, 4782968)-net over F3, using
- linear OOA(390, 4194301, F3, 2, 9) (dual of [(4194301, 2), 8388512, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(390, 8388602, F3, 9) (dual of [8388602, 8388512, 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 2-folding [i] based on linear OA(390, 8388602, F3, 9) (dual of [8388602, 8388512, 10]-code), using
- linear OOA(329, 4782968, F3, 2, 4) (dual of [(4782968, 2), 9565907, 5]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(3222, large, F3, 2, 9) | [i] | OOA Duplication | |