Information on Result #895123
Linear OOA(3171, 4194423, F3, 2, 15) (dual of [(4194423, 2), 8388675, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(321, 122, F3, 2, 7) (dual of [(122, 2), 223, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(321, 244, F3, 7) (dual of [244, 223, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(321, 244, F3, 7) (dual of [244, 223, 8]-code), using
- linear OOA(3150, 4194301, F3, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 16]-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(3171, 2097211, F3, 4, 15) (dual of [(2097211, 4), 8388673, 16]-NRT-code) | [i] | OOA Folding | |