Information on Result #612292

Linear OA(3204, 2187, F3, 44) (dual of [2187, 1983, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44

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 OA(3226, 2210, F3, 44) (dual of [2210, 1984, 45]-code) [i](u, u+v)-Construction
2Linear OOA(3204, 1632, F3, 2, 44) (dual of [(1632, 2), 3060, 45]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3204, 1632, F3, 3, 44) (dual of [(1632, 3), 4692, 45]-NRT-code) [i]
4Linear OOA(3204, 1632, F3, 4, 44) (dual of [(1632, 4), 6324, 45]-NRT-code) [i]
5Linear OOA(3204, 1632, F3, 5, 44) (dual of [(1632, 5), 7956, 45]-NRT-code) [i]
6Digital (160, 204, 1632)-net over F3 [i]
7Linear OA(3212, 2195, F3, 46) (dual of [2195, 1983, 47]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(3204, 2194, F3, 44) (dual of [2194, 1990, 45]-code) [i]✔
9Linear OA(3221, 2200, F3, 47) (dual of [2200, 1979, 48]-code) [i]✔
10Linear OA(3222, 2205, F3, 47) (dual of [2205, 1983, 48]-code) [i]✔
11Linear OA(3207, 2200, F3, 44) (dual of [2200, 1993, 45]-code) [i]✔
12Linear OA(3208, 2205, F3, 44) (dual of [2205, 1997, 45]-code) [i]✔
13Linear OA(3232, 2214, F3, 49) (dual of [2214, 1982, 50]-code) [i]✔
14Linear OA(3231, 2214, F3, 48) (dual of [2214, 1983, 49]-code) [i]✔
15Linear OA(3209, 2207, F3, 44) (dual of [2207, 1998, 45]-code) [i]✔
16Linear OA(3210, 2214, F3, 44) (dual of [2214, 2004, 45]-code) [i]✔
17Linear OA(3242, 2223, F3, 50) (dual of [2223, 1981, 51]-code) [i]✔
18Linear OA(3243, 2226, F3, 50) (dual of [2226, 1983, 51]-code) [i]✔
19Linear OA(3214, 2223, F3, 44) (dual of [2223, 2009, 45]-code) [i]✔
20Linear OA(3215, 2226, F3, 44) (dual of [2226, 2011, 45]-code) [i]✔
21Linear OA(3220, 2238, F3, 44) (dual of [2238, 2018, 45]-code) [i]✔
22Linear OA(3225, 2250, F3, 44) (dual of [2250, 2025, 45]-code) [i]✔
23Linear OA(3228, 2260, F3, 44) (dual of [2260, 2032, 45]-code) [i]✔
24Linear OA(3242, 2225, F3, 50) (dual of [2225, 1983, 51]-code) [i]✔
25Linear OA(3214, 2225, F3, 44) (dual of [2225, 2011, 45]-code) [i]✔
26Linear OA(3217, 2229, F3, 44) (dual of [2229, 2012, 45]-code) [i]✔
27Linear OA(3218, 2236, F3, 44) (dual of [2236, 2018, 45]-code) [i]✔
28Linear OA(3241, 2219, F3, 50) (dual of [2219, 1978, 51]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
29Linear OA(3240, 2217, F3, 50) (dual of [2217, 1977, 51]-code) [i]✔
30Linear OA(3230, 2209, F3, 48) (dual of [2209, 1979, 49]-code) [i]✔
31Linear OA(3229, 2207, F3, 48) (dual of [2207, 1978, 49]-code) [i]✔
32Linear OA(3228, 2205, F3, 48) (dual of [2205, 1977, 49]-code) [i]✔
33Linear OA(3234, 2218, F3, 49) (dual of [2218, 1984, 50]-code) [i]✔
34Linear OA(3232, 2216, F3, 48) (dual of [2216, 1984, 49]-code) [i]✔
35Linear OA(3220, 2197, F3, 47) (dual of [2197, 1977, 48]-code) [i]✔
36Linear OA(3213, 2197, F3, 46) (dual of [2197, 1984, 47]-code) [i]✔
37Linear OA(3206, 2197, F3, 44) (dual of [2197, 1991, 45]-code) [i]✔
38Linear OA(3213, 2219, F3, 44) (dual of [2219, 2006, 45]-code) [i]✔
39Linear OA(3212, 2217, F3, 44) (dual of [2217, 2005, 45]-code) [i]✔