Information on Result #612360
Linear OA(3239, 2188, F3, 51) (dual of [2188, 1949, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (BCH-bound)
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(3239, 1940, F3, 2, 51) (dual of [(1940, 2), 3641, 52]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3239, 1940, F3, 3, 51) (dual of [(1940, 3), 5581, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(3239, 1940, F3, 4, 51) (dual of [(1940, 4), 7521, 52]-NRT-code) | [i] | ||
| 4 | Linear OOA(3239, 1940, F3, 5, 51) (dual of [(1940, 5), 9461, 52]-NRT-code) | [i] | ||
| 5 | Digital (188, 239, 1940)-net over F3 | [i] | ||
| 6 | Linear OA(3240, 2203, F3, 51) (dual of [2203, 1963, 52]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(3247, 2216, F3, 51) (dual of [2216, 1969, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(3249, 2224, F3, 51) (dual of [2224, 1975, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(3250, 2227, F3, 51) (dual of [2227, 1977, 52]-code) | [i] | ✔ | |
| 10 | Linear OA(3247, 2224, F3, 50) (dual of [2224, 1977, 51]-code) | [i] | ✔ | |
| 11 | Linear OA(3249, 2226, F3, 51) (dual of [2226, 1977, 52]-code) | [i] | ✔ | |