Information on Result #904427
Linear OOA(8166, 4197582, F81, 2, 14) (dual of [(4197582, 2), 8395098, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8113, 3281, F81, 2, 7) (dual of [(3281, 2), 6549, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8113, 6562, F81, 7) (dual of [6562, 6549, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, 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(8113, 6562, F81, 7) (dual of [6562, 6549, 8]-code), using
- linear OOA(8153, 4194301, F81, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8153, 8388602, F81, 14) (dual of [8388602, 8388549, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- OOA 2-folding [i] based on linear OA(8153, 8388602, F81, 14) (dual of [8388602, 8388549, 15]-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(8166, 2098791, F81, 4, 14) (dual of [(2098791, 4), 8395098, 15]-NRT-code) | [i] | OOA Folding | |