Information on Result #812624
Linear OOA(357, 2391485, F3, 2, 7) (dual of [(2391485, 2), 4782913, 8]-NRT-code), using OOA 2-folding based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, 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(377, 4782970, F3, 2, 7) (dual of [(4782970, 2), 9565863, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3193, 6585786, F3, 2, 14) (dual of [(6585786, 2), 13171379, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(3207, 6585786, F3, 2, 15) (dual of [(6585786, 2), 13171365, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(357, 2391485, F3, 3, 7) (dual of [(2391485, 3), 7174398, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(357, 2391485, F3, 4, 7) (dual of [(2391485, 4), 9565883, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(357, 2391485, F3, 5, 7) (dual of [(2391485, 5), 11957368, 8]-NRT-code) | [i] | ||
| 7 | Digital (50, 57, 2391485)-net over F3 | [i] | ||