Information on Result #1018460
Linear OOA(8121, 4374, F81, 3, 8) (dual of [(4374, 3), 13101, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(816, 3240, F81, 3, 4) (dual of [(3240, 3), 9714, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(816, 6480, F81, 4) (dual of [6480, 6474, 5]-code), using
- 1 times truncation [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- OA 2-folding and stacking [i] based on linear OA(816, 6480, F81, 4) (dual of [6480, 6474, 5]-code), using
- linear OOA(8115, 2187, F81, 3, 8) (dual of [(2187, 3), 6546, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OOA 3-folding [i] based on linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-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(8182, 2800575, F81, 3, 16) (dual of [(2800575, 3), 8401643, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |