Information on Result #2797875
Linear OOA(3142, 2097152, F3, 4, 14) (dual of [(2097152, 4), 8388466, 15]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3138, 2097151, F3, 4, 14) (dual of [(2097151, 4), 8388466, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3138, 4194302, F3, 2, 14) (dual of [(4194302, 2), 8388466, 15]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3136, 4194301, F3, 2, 14) (dual of [(4194301, 2), 8388466, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3136, 8388602, F3, 14) (dual of [8388602, 8388466, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- OOA 2-folding [i] based on linear OA(3136, 8388602, F3, 14) (dual of [8388602, 8388466, 15]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3136, 4194301, F3, 2, 14) (dual of [(4194301, 2), 8388466, 15]-NRT-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(3203, 4194304, F3, 4, 14) (dual of [(4194304, 4), 16777013, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |