Information on Result #904263
Linear OOA(8132, 8388602, F81, 2, 7) (dual of [(8388602, 2), 16777172, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(817, large, F81, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(817, large, F81, 3) (dual of [large, large−7, 4]-code), using
- linear OOA(8125, 4194301, F81, 2, 7) (dual of [(4194301, 2), 8388577, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8125, 8388602, F81, 7) (dual of [8388602, 8388577, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(8125, large, F81, 7) (dual of [large, large−25, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8125, large, F81, 7) (dual of [large, large−25, 8]-code), using
- OOA 2-folding [i] based on linear OA(8125, 8388602, F81, 7) (dual of [8388602, 8388577, 8]-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(8132, 4194301, F81, 3, 7) (dual of [(4194301, 3), 12582871, 8]-NRT-code) | [i] | OOA Folding | |