Information on Result #2874314
Linear OOA(3171, 1677721, F3, 5, 17) (dual of [(1677721, 5), 8388434, 18]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3166, 1677720, F3, 5, 17) (dual of [(1677720, 5), 8388434, 18]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3166, 8388600, F3, 17) (dual of [8388600, 8388434, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-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(3172, 1677721, F3, 5, 17) (dual of [(1677721, 5), 8388433, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3173, 1677721, F3, 5, 17) (dual of [(1677721, 5), 8388432, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(3247, 3355442, F3, 5, 17) (dual of [(3355442, 5), 16776963, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |