Information on Result #675883
Linear OA(3225, 2187, F3, 49) (dual of [2187, 1962, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(3225, 1683, F3, 2, 49) (dual of [(1683, 2), 3141, 50]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3225, 1683, F3, 3, 49) (dual of [(1683, 3), 4824, 50]-NRT-code) | [i] | ||
| 3 | Linear OOA(3225, 1683, F3, 4, 49) (dual of [(1683, 4), 6507, 50]-NRT-code) | [i] | ||
| 4 | Linear OOA(3225, 1683, F3, 5, 49) (dual of [(1683, 5), 8190, 50]-NRT-code) | [i] | ||
| 5 | Digital (176, 225, 1683)-net over F3 | [i] | ||
| 6 | Linear OA(3232, 2194, F3, 50) (dual of [2194, 1962, 51]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(3226, 2195, F3, 49) (dual of [2195, 1969, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(3242, 2200, F3, 52) (dual of [2200, 1958, 53]-code) | [i] | ✔ | |
| 9 | Linear OA(3243, 2205, F3, 52) (dual of [2205, 1962, 53]-code) | [i] | ✔ | |
| 10 | Linear OA(3226, 2202, F3, 48) (dual of [2202, 1976, 49]-code) | [i] | ✔ | |
| 11 | Linear OA(3228, 2200, F3, 49) (dual of [2200, 1972, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(3229, 2205, F3, 49) (dual of [2205, 1976, 50]-code) | [i] | ✔ | |
| 13 | Linear OA(3232, 2214, F3, 49) (dual of [2214, 1982, 50]-code) | [i] | ✔ | |
| 14 | Linear OA(3231, 2214, F3, 48) (dual of [2214, 1983, 49]-code) | [i] | ✔ | |
| 15 | Linear OA(3242, 2239, F3, 49) (dual of [2239, 1997, 50]-code) | [i] | ✔ | |
| 16 | Linear OA(3246, 2250, F3, 49) (dual of [2250, 2004, 50]-code) | [i] | ✔ | |
| 17 | Linear OA(3242, 2246, F3, 48) (dual of [2246, 2004, 49]-code) | [i] | ✔ | |
| 18 | Linear OA(3250, 2261, F3, 49) (dual of [2261, 2011, 50]-code) | [i] | ✔ | |
| 19 | Linear OA(3241, 2238, F3, 49) (dual of [2238, 1997, 50]-code) | [i] | ✔ | |
| 20 | Linear OA(3239, 2236, F3, 48) (dual of [2236, 1997, 49]-code) | [i] | ✔ | |
| 21 | Linear OA(3241, 2245, F3, 48) (dual of [2245, 2004, 49]-code) | [i] | ✔ | |
| 22 | Linear OA(3241, 2197, F3, 52) (dual of [2197, 1956, 53]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(3244, 2209, F3, 51) (dual of [2209, 1965, 52]-code) | [i] | ✔ | |
| 24 | Linear OA(3243, 2207, F3, 51) (dual of [2207, 1964, 52]-code) | [i] | ✔ | |
| 25 | Linear OA(3245, 2208, F3, 52) (dual of [2208, 1963, 53]-code) | [i] | ✔ | |
| 26 | Linear OA(3234, 2197, F3, 50) (dual of [2197, 1963, 51]-code) | [i] | ✔ | |
| 27 | Linear OA(3227, 2197, F3, 49) (dual of [2197, 1970, 50]-code) | [i] | ✔ | |
| 28 | Linear OA(3230, 2209, F3, 48) (dual of [2209, 1979, 49]-code) | [i] | ✔ | |
| 29 | Linear OA(3229, 2207, F3, 48) (dual of [2207, 1978, 49]-code) | [i] | ✔ | |
| 30 | Linear OA(3228, 2205, F3, 48) (dual of [2205, 1977, 49]-code) | [i] | ✔ | |
| 31 | Linear OA(3234, 2218, F3, 49) (dual of [2218, 1984, 50]-code) | [i] | ✔ | |
| 32 | Linear OA(3232, 2216, F3, 48) (dual of [2216, 1984, 49]-code) | [i] | ✔ | |
| 33 | Linear OOA(3225, 729, F3, 3, 49) (dual of [(729, 3), 1962, 50]-NRT-code) | [i] | OOA Folding | |
| 34 | Linear OOA(3225, 437, F3, 5, 49) (dual of [(437, 5), 1960, 50]-NRT-code) | [i] | ||