Information on Result #662006
Linear OA(388, 2200, F3, 17) (dual of [2200, 2112, 18]-code), using (u, u+v)-construction based on
- linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- Simplex code S(3,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
- linear OA(378, 2187, F3, 17) (dual of [2187, 2109, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(388, 1866, F3, 2, 17) (dual of [(1866, 2), 3644, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(388, 1866, F3, 3, 17) (dual of [(1866, 3), 5510, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(388, 1866, F3, 4, 17) (dual of [(1866, 4), 7376, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(388, 1866, F3, 5, 17) (dual of [(1866, 5), 9242, 18]-NRT-code) | [i] | ||
| 5 | Digital (71, 88, 1866)-net over F3 | [i] | ||