Information on Result #812750
Linear OOA(331, 121, F3, 2, 10) (dual of [(121, 2), 211, 11]-NRT-code), using OOA 2-folding based on linear OA(331, 242, F3, 10) (dual of [242, 211, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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(3227, 4194422, F3, 2, 20) (dual of [(4194422, 2), 8388617, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3241, 4194422, F3, 2, 21) (dual of [(4194422, 2), 8388603, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(331, 121, F3, 3, 10) (dual of [(121, 3), 332, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(331, 121, F3, 4, 10) (dual of [(121, 4), 453, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(331, 121, F3, 5, 10) (dual of [(121, 5), 574, 11]-NRT-code) | [i] | ||
| 6 | Digital (21, 31, 121)-net over F3 | [i] | ||