Information on Result #2235006
Linear OA(3210, 2186, F3, 45) (dual of [2186, 1976, 46]-code), using 1 times truncation based on linear OA(3211, 2187, F3, 46) (dual of [2187, 1976, 47]-code), using
- an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [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(3210, 1720, F3, 2, 45) (dual of [(1720, 2), 3230, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(3210, 1720, F3, 3, 45) (dual of [(1720, 3), 4950, 46]-NRT-code) | [i] | ||
3 | Linear OOA(3210, 1720, F3, 4, 45) (dual of [(1720, 4), 6670, 46]-NRT-code) | [i] | ||
4 | Linear OOA(3210, 1720, F3, 5, 45) (dual of [(1720, 5), 8390, 46]-NRT-code) | [i] | ||
5 | Digital (165, 210, 1720)-net over F3 | [i] | ||
6 | Linear OA(3219, 2224, F3, 45) (dual of [2224, 2005, 46]-code) | [i] | Varšamov–Edel Lengthening | |
7 | Linear OA(3220, 2239, F3, 45) (dual of [2239, 2019, 46]-code) | [i] | ||
8 | Linear OA(3221, 2259, F3, 45) (dual of [2259, 2038, 46]-code) | [i] | ||
9 | Linear OA(3222, 2286, F3, 45) (dual of [2286, 2064, 46]-code) | [i] | ||
10 | Linear OA(3223, 2320, F3, 45) (dual of [2320, 2097, 46]-code) | [i] | ||
11 | Linear OA(3224, 2361, F3, 45) (dual of [2361, 2137, 46]-code) | [i] | ||
12 | Linear OA(3225, 2410, F3, 45) (dual of [2410, 2185, 46]-code) | [i] | ||
13 | Linear OA(3226, 2464, F3, 45) (dual of [2464, 2238, 46]-code) | [i] | ||
14 | Linear OA(3227, 2522, F3, 45) (dual of [2522, 2295, 46]-code) | [i] | ||
15 | Linear OA(3228, 2583, F3, 45) (dual of [2583, 2355, 46]-code) | [i] | ||
16 | Linear OOA(3210, 1093, F3, 2, 45) (dual of [(1093, 2), 1976, 46]-NRT-code) | [i] | OOA Folding | |
17 | Linear OOA(3210, 728, F3, 3, 45) (dual of [(728, 3), 1974, 46]-NRT-code) | [i] | ||
18 | Linear OOA(3210, 546, F3, 4, 45) (dual of [(546, 4), 1974, 46]-NRT-code) | [i] | ||
19 | Linear OOA(3210, 437, F3, 5, 45) (dual of [(437, 5), 1975, 46]-NRT-code) | [i] |