Information on Result #1069517
Linear OOA(8161, 1640, F81, 4, 31) (dual of [(1640, 4), 6499, 32]-NRT-code), using OOA 4-folding based on linear OA(8161, 6560, F81, 31) (dual of [6560, 6499, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(8161, 6561, F81, 31) (dual of [6561, 6500, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(8176, 1722, F81, 4, 31) (dual of [(1722, 4), 6812, 32]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8177, 1740, F81, 4, 31) (dual of [(1740, 4), 6883, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(8178, 1756, F81, 4, 31) (dual of [(1756, 4), 6946, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(8180, 1790, F81, 4, 31) (dual of [(1790, 4), 7080, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(8181, 1800, F81, 4, 31) (dual of [(1800, 4), 7119, 32]-NRT-code) | [i] | ||