Information on Result #1068975
Linear OOA(8135, 1640, F81, 4, 18) (dual of [(1640, 4), 6525, 19]-NRT-code), using OOA 4-folding based on linear OA(8135, 6560, F81, 18) (dual of [6560, 6525, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8135, 6561, F81, 18) (dual of [6561, 6526, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
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(8144, 1722, F81, 4, 18) (dual of [(1722, 4), 6844, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8145, 1740, F81, 4, 18) (dual of [(1740, 4), 6915, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(8146, 1756, F81, 4, 18) (dual of [(1756, 4), 6978, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(8148, 1804, F81, 4, 18) (dual of [(1804, 4), 7168, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(8149, 1822, F81, 4, 18) (dual of [(1822, 4), 7239, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(8150, 1840, F81, 4, 18) (dual of [(1840, 4), 7310, 19]-NRT-code) | [i] | ||