Information on Result #2518722
Linear OOA(2774, large, F27, 2, 7), using 17 times NRT-code embedding in larger space based on linear OOA(2740, 8388602, F27, 2, 7) (dual of [(8388602, 2), 16777164, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(279, large, F27, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(279, large, F27, 3) (dual of [large, large−9, 4]-code), using
- linear OOA(2731, 4194301, F27, 2, 7) (dual of [(4194301, 2), 8388571, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2731, 8388602, F27, 7) (dual of [8388602, 8388571, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2731, large, F27, 7) (dual of [large, large−31, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2731, large, F27, 7) (dual of [large, large−31, 8]-code), using
- OOA 2-folding [i] based on linear OA(2731, 8388602, F27, 7) (dual of [8388602, 8388571, 8]-code), using
- linear OOA(279, large, F27, 2, 3), 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(2775, large, F27, 2, 7) | [i] | OOA Duplication | |