Information on Result #1069254
Linear OOA(8147, 1640, F81, 4, 24) (dual of [(1640, 4), 6513, 25]-NRT-code), using OOA 4-folding based on linear OA(8147, 6560, F81, 24) (dual of [6560, 6513, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using
- an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(8159, 1722, F81, 4, 24) (dual of [(1722, 4), 6829, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8160, 1740, F81, 4, 24) (dual of [(1740, 4), 6900, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(8161, 1756, F81, 4, 24) (dual of [(1756, 4), 6963, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(8163, 1790, F81, 4, 24) (dual of [(1790, 4), 7097, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(8164, 1800, F81, 4, 24) (dual of [(1800, 4), 7136, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(8165, 1804, F81, 4, 24) (dual of [(1804, 4), 7151, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(8166, 1822, F81, 4, 24) (dual of [(1822, 4), 7222, 25]-NRT-code) | [i] | ||
| 8 | Linear OOA(8167, 1840, F81, 4, 24) (dual of [(1840, 4), 7293, 25]-NRT-code) | [i] | ||
| 9 | Linear OOA(8168, 1856, F81, 4, 24) (dual of [(1856, 4), 7356, 25]-NRT-code) | [i] | ||
| 10 | Digital (23, 47, 1640)-net over F81 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |