Information on Result #876285
Linear OOA(8113, 3281, F81, 2, 7) (dual of [(3281, 2), 6549, 8]-NRT-code), using OOA 2-folding based on linear OA(8113, 6562, F81, 7) (dual of [6562, 6549, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [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(8116, 3363, F81, 2, 7) (dual of [(3363, 2), 6710, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
2 | Linear OOA(8166, 4197582, F81, 2, 14) (dual of [(4197582, 2), 8395098, 15]-NRT-code) | [i] | ||
3 | Linear OOA(8170, 4197582, F81, 2, 15) (dual of [(4197582, 2), 8395094, 16]-NRT-code) | [i] | ||
4 | Linear OOA(8113, 3281, F81, 3, 7) (dual of [(3281, 3), 9830, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
5 | Linear OOA(8113, 3281, F81, 4, 7) (dual of [(3281, 4), 13111, 8]-NRT-code) | [i] | ||
6 | Digital (6, 13, 3281)-net over F81 | [i] |