Information on Result #612236

Linear OA(3183, 2188, F3, 39) (dual of [2188, 2005, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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:

ResultThis
result
only		Method
1Linear OOA(3183, 1595, F3, 2, 39) (dual of [(1595, 2), 3007, 40]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3183, 1595, F3, 3, 39) (dual of [(1595, 3), 4602, 40]-NRT-code) [i]
3Linear OOA(3183, 1595, F3, 4, 39) (dual of [(1595, 4), 6197, 40]-NRT-code) [i]
4Linear OOA(3183, 1595, F3, 5, 39) (dual of [(1595, 5), 7792, 40]-NRT-code) [i]
5Digital (144, 183, 1595)-net over F3 [i]
6Linear OA(3202, 2208, F3, 39) (dual of [2208, 2006, 40]-code) [i]✔Construction X with Cyclic Codes
7Linear OA(3198, 2203, F3, 41) (dual of [2203, 2005, 42]-code) [i]✔
8Linear OA(3200, 2192, F3, 43) (dual of [2192, 1992, 44]-code) [i]✔
9Linear OA(3201, 2198, F3, 43) (dual of [2198, 1997, 44]-code) [i]✔
10Linear OA(3202, 2207, F3, 43) (dual of [2207, 2005, 44]-code) [i]✔
11Linear OA(3199, 2192, F3, 42) (dual of [2192, 1993, 43]-code) [i]✔
12Linear OA(3200, 2201, F3, 42) (dual of [2201, 2001, 43]-code) [i]✔
13Linear OA(3184, 2203, F3, 39) (dual of [2203, 2019, 40]-code) [i]✔
14Linear OA(3219, 2216, F3, 45) (dual of [2216, 1997, 46]-code) [i]✔
15Linear OA(3221, 2224, F3, 45) (dual of [2224, 2003, 46]-code) [i]✔
16Linear OA(3222, 2227, F3, 45) (dual of [2227, 2005, 46]-code) [i]✔
17Linear OA(3219, 2224, F3, 44) (dual of [2224, 2005, 45]-code) [i]✔
18Linear OA(3191, 2216, F3, 39) (dual of [2216, 2025, 40]-code) [i]✔
19Linear OA(3193, 2224, F3, 39) (dual of [2224, 2031, 40]-code) [i]✔
20Linear OA(3194, 2227, F3, 39) (dual of [2227, 2033, 40]-code) [i]✔
21Linear OA(3191, 2224, F3, 38) (dual of [2224, 2033, 39]-code) [i]✔
22Linear OA(3247, 2240, F3, 49) (dual of [2240, 1993, 50]-code) [i]✔
23Linear OA(3249, 2254, F3, 49) (dual of [2254, 2005, 50]-code) [i]✔
24Linear OA(3244, 2236, F3, 48) (dual of [2236, 1992, 49]-code) [i]✔
25Linear OA(3245, 2238, F3, 48) (dual of [2238, 1993, 49]-code) [i]✔
26Linear OA(3246, 2251, F3, 48) (dual of [2251, 2005, 49]-code) [i]✔
27Linear OA(3242, 2247, F3, 47) (dual of [2247, 2005, 48]-code) [i]✔
28Linear OA(3200, 2247, F3, 39) (dual of [2247, 2047, 40]-code) [i]✔
29Linear OA(3221, 2226, F3, 45) (dual of [2226, 2005, 46]-code) [i]✔
30Linear OA(3193, 2226, F3, 39) (dual of [2226, 2033, 40]-code) [i]✔
31Linear OA(3198, 2232, F3, 39) (dual of [2232, 2034, 40]-code) [i]✔
32Linear OA(3199, 2246, F3, 39) (dual of [2246, 2047, 40]-code) [i]✔