Information on Result #612258

Linear OA(3190, 2187, F3, 41) (dual of [2187, 1997, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41

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(3210, 2208, F3, 41) (dual of [2208, 1998, 42]-code) [i](u, u+v)-Construction
2Linear OA(3216, 2215, F3, 41) (dual of [2215, 1999, 42]-code) [i]
3Linear OOA(3190, 1544, F3, 2, 41) (dual of [(1544, 2), 2898, 42]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(3190, 1544, F3, 3, 41) (dual of [(1544, 3), 4442, 42]-NRT-code) [i]
5Linear OOA(3190, 1544, F3, 4, 41) (dual of [(1544, 4), 5986, 42]-NRT-code) [i]
6Linear OOA(3190, 1544, F3, 5, 41) (dual of [(1544, 5), 7530, 42]-NRT-code) [i]
7Digital (149, 190, 1544)-net over F3 [i]
8Linear OA(3198, 2195, F3, 43) (dual of [2195, 1997, 44]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
9Linear OA(3190, 2194, F3, 41) (dual of [2194, 2004, 42]-code) [i]✔
10Linear OA(3207, 2200, F3, 44) (dual of [2200, 1993, 45]-code) [i]✔
11Linear OA(3208, 2205, F3, 44) (dual of [2205, 1997, 45]-code) [i]✔
12Linear OA(3193, 2200, F3, 41) (dual of [2200, 2007, 42]-code) [i]✔
13Linear OA(3194, 2205, F3, 41) (dual of [2205, 2011, 42]-code) [i]✔
14Linear OA(3218, 2214, F3, 46) (dual of [2214, 1996, 47]-code) [i]✔
15Linear OA(3219, 2216, F3, 46) (dual of [2216, 1997, 47]-code) [i]✔
16Linear OA(3217, 2214, F3, 45) (dual of [2214, 1997, 46]-code) [i]✔
17Linear OA(3195, 2207, F3, 41) (dual of [2207, 2012, 42]-code) [i]✔
18Linear OA(3196, 2214, F3, 41) (dual of [2214, 2018, 42]-code) [i]✔
19Linear OA(3228, 2223, F3, 47) (dual of [2223, 1995, 48]-code) [i]✔
20Linear OA(3229, 2226, F3, 47) (dual of [2226, 1997, 48]-code) [i]✔
21Linear OA(3200, 2223, F3, 41) (dual of [2223, 2023, 42]-code) [i]✔
22Linear OA(3201, 2226, F3, 41) (dual of [2226, 2025, 42]-code) [i]✔
23Linear OA(3242, 2239, F3, 49) (dual of [2239, 1997, 50]-code) [i]✔
24Linear OA(3206, 2238, F3, 41) (dual of [2238, 2032, 42]-code) [i]✔
25Linear OA(3211, 2250, F3, 41) (dual of [2250, 2039, 42]-code) [i]✔
26Linear OA(3214, 2260, F3, 41) (dual of [2260, 2046, 42]-code) [i]✔
27Linear OA(3228, 2225, F3, 47) (dual of [2225, 1997, 48]-code) [i]✔
28Linear OA(3200, 2225, F3, 41) (dual of [2225, 2025, 42]-code) [i]✔
29Linear OA(3241, 2238, F3, 49) (dual of [2238, 1997, 50]-code) [i]✔
30Linear OA(3239, 2236, F3, 48) (dual of [2236, 1997, 49]-code) [i]✔
31Linear OA(3203, 2229, F3, 41) (dual of [2229, 2026, 42]-code) [i]✔
32Linear OA(3204, 2236, F3, 41) (dual of [2236, 2032, 42]-code) [i]✔
33Linear OA(3227, 2219, F3, 47) (dual of [2219, 1992, 48]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
34Linear OA(3226, 2217, F3, 47) (dual of [2217, 1991, 48]-code) [i]✔
35Linear OA(3216, 2209, F3, 45) (dual of [2209, 1993, 46]-code) [i]✔
36Linear OA(3215, 2207, F3, 45) (dual of [2207, 1992, 46]-code) [i]✔
37Linear OA(3217, 2208, F3, 46) (dual of [2208, 1991, 47]-code) [i]✔
38Linear OA(3220, 2218, F3, 46) (dual of [2218, 1998, 47]-code) [i]✔
39Linear OA(3218, 2216, F3, 45) (dual of [2216, 1998, 46]-code) [i]✔
40Linear OA(3206, 2197, F3, 44) (dual of [2197, 1991, 45]-code) [i]✔
41Linear OA(3199, 2197, F3, 43) (dual of [2197, 1998, 44]-code) [i]✔
42Linear OA(3192, 2197, F3, 41) (dual of [2197, 2005, 42]-code) [i]✔
43Linear OA(3199, 2219, F3, 41) (dual of [2219, 2020, 42]-code) [i]✔
44Linear OA(3198, 2217, F3, 41) (dual of [2217, 2019, 42]-code) [i]✔