Information on Result #907067
Linear OOA(8153, 3527, F81, 2, 19) (dual of [(3527, 2), 7001, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8116, 246, F81, 2, 9) (dual of [(246, 2), 476, 10]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(813, 82, F81, 2, 3) (dual of [(82, 2), 161, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;161,81) [i]
- linear OOA(814, 82, F81, 2, 4) (dual of [(82, 2), 160, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;160,81) [i]
- linear OOA(819, 82, F81, 2, 9) (dual of [(82, 2), 155, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;155,81) [i]
- linear OOA(813, 82, F81, 2, 3) (dual of [(82, 2), 161, 4]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(8137, 3281, F81, 2, 19) (dual of [(3281, 2), 6525, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 6562, F81, 19) (dual of [6562, 6525, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8137, 6562, F81, 19) (dual of [6562, 6525, 20]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(8153, 1763, F81, 4, 19) (dual of [(1763, 4), 6999, 20]-NRT-code) | [i] | OOA Folding | |