Information on Result #612347
Linear OA(3232, 2187, F3, 50) (dual of [2187, 1955, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50
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(3232, 1809, F3, 2, 50) (dual of [(1809, 2), 3386, 51]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3232, 1809, F3, 3, 50) (dual of [(1809, 3), 5195, 51]-NRT-code) | [i] | ||
| 3 | Linear OOA(3232, 1809, F3, 4, 50) (dual of [(1809, 4), 7004, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(3232, 1809, F3, 5, 50) (dual of [(1809, 5), 8813, 51]-NRT-code) | [i] | ||
| 5 | Digital (182, 232, 1809)-net over F3 | [i] | ||
| 6 | Linear OA(3240, 2195, F3, 52) (dual of [2195, 1955, 53]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(3232, 2194, F3, 50) (dual of [2194, 1962, 51]-code) | [i] | ✔ | |
| 8 | Linear OA(3249, 2200, F3, 53) (dual of [2200, 1951, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(3250, 2205, F3, 53) (dual of [2205, 1955, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(3235, 2200, F3, 50) (dual of [2200, 1965, 51]-code) | [i] | ✔ | |
| 11 | Linear OA(3236, 2205, F3, 50) (dual of [2205, 1969, 51]-code) | [i] | ✔ | |
| 12 | Linear OA(3237, 2207, F3, 50) (dual of [2207, 1970, 51]-code) | [i] | ✔ | |
| 13 | Linear OA(3238, 2214, F3, 50) (dual of [2214, 1976, 51]-code) | [i] | ✔ | |
| 14 | Linear OA(3242, 2223, F3, 50) (dual of [2223, 1981, 51]-code) | [i] | ✔ | |
| 15 | Linear OA(3243, 2226, F3, 50) (dual of [2226, 1983, 51]-code) | [i] | ✔ | |
| 16 | Linear OA(3248, 2238, F3, 50) (dual of [2238, 1990, 51]-code) | [i] | ✔ | |
| 17 | Linear OA(3242, 2225, F3, 50) (dual of [2225, 1983, 51]-code) | [i] | ✔ | |
| 18 | Linear OA(3245, 2229, F3, 50) (dual of [2229, 1984, 51]-code) | [i] | ✔ | |
| 19 | Linear OA(3246, 2236, F3, 50) (dual of [2236, 1990, 51]-code) | [i] | ✔ | |
| 20 | Linear OA(3248, 2197, F3, 53) (dual of [2197, 1949, 54]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(3241, 2197, F3, 52) (dual of [2197, 1956, 53]-code) | [i] | ✔ | |
| 22 | Linear OA(3234, 2197, F3, 50) (dual of [2197, 1963, 51]-code) | [i] | ✔ | |
| 23 | Linear OA(3241, 2219, F3, 50) (dual of [2219, 1978, 51]-code) | [i] | ✔ | |
| 24 | Linear OA(3240, 2217, F3, 50) (dual of [2217, 1977, 51]-code) | [i] | ✔ | |