Information on Result #612248

Linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40

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(3182, 2186, F3, 39) (dual of [2186, 2004, 40]-code) [i]Truncation
2Linear OA(3203, 2208, F3, 40) (dual of [2208, 2005, 41]-code) [i](u, u+v)-Construction
3Linear OOA(3183, 1414, F3, 2, 40) (dual of [(1414, 2), 2645, 41]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(3183, 1414, F3, 3, 40) (dual of [(1414, 3), 4059, 41]-NRT-code) [i]
5Linear OOA(3183, 1414, F3, 4, 40) (dual of [(1414, 4), 5473, 41]-NRT-code) [i]
6Linear OOA(3183, 1414, F3, 5, 40) (dual of [(1414, 5), 6887, 41]-NRT-code) [i]
7Digital (143, 183, 1414)-net over F3 [i]
8Linear OA(3197, 2239, F3, 40) (dual of [2239, 2042, 41]-code) [i]VarÅ¡amov–Edel Lengthening
9Linear OA(3198, 2254, F3, 40) (dual of [2254, 2056, 41]-code) [i]
10Linear OA(3199, 2273, F3, 40) (dual of [2273, 2074, 41]-code) [i]
11Linear OA(3200, 2297, F3, 40) (dual of [2297, 2097, 41]-code) [i]
12Linear OA(3201, 2327, F3, 40) (dual of [2327, 2126, 41]-code) [i]
13Linear OA(3202, 2363, F3, 40) (dual of [2363, 2161, 41]-code) [i]
14Linear OA(3203, 2407, F3, 40) (dual of [2407, 2204, 41]-code) [i]
15Linear OA(3204, 2458, F3, 40) (dual of [2458, 2254, 41]-code) [i]
16Linear OA(3205, 2516, F3, 40) (dual of [2516, 2311, 41]-code) [i]
17Linear OA(3206, 2579, F3, 40) (dual of [2579, 2373, 41]-code) [i]
18Linear OA(3207, 2647, F3, 40) (dual of [2647, 2440, 41]-code) [i]
19Linear OA(3190, 2194, F3, 41) (dual of [2194, 2004, 42]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
20Linear OA(3184, 2195, F3, 40) (dual of [2195, 2011, 41]-code) [i]✔
21Linear OA(3198, 2202, F3, 42) (dual of [2202, 2004, 43]-code) [i]✔
22Linear OA(3200, 2200, F3, 43) (dual of [2200, 2000, 44]-code) [i]✔
23Linear OA(3201, 2205, F3, 43) (dual of [2205, 2004, 44]-code) [i]✔
24Linear OA(3186, 2200, F3, 40) (dual of [2200, 2014, 41]-code) [i]✔
25Linear OA(3187, 2205, F3, 40) (dual of [2205, 2018, 41]-code) [i]✔
26Linear OA(3209, 2207, F3, 44) (dual of [2207, 1998, 45]-code) [i]✔
27Linear OA(3210, 2214, F3, 44) (dual of [2214, 2004, 45]-code) [i]✔
28Linear OA(3190, 2214, F3, 40) (dual of [2214, 2024, 41]-code) [i]✔
29Linear OA(3191, 2216, F3, 40) (dual of [2216, 2025, 41]-code) [i]✔
30Linear OA(3189, 2214, F3, 39) (dual of [2214, 2025, 40]-code) [i]✔
31Linear OA(3221, 2223, F3, 46) (dual of [2223, 2002, 47]-code) [i]✔
32Linear OA(3222, 2226, F3, 46) (dual of [2226, 2004, 47]-code) [i]✔
33Linear OA(3219, 2223, F3, 45) (dual of [2223, 2004, 46]-code) [i]✔
34Linear OA(3193, 2223, F3, 40) (dual of [2223, 2030, 41]-code) [i]✔
35Linear OA(3194, 2226, F3, 40) (dual of [2226, 2032, 41]-code) [i]✔
36Linear OA(3191, 2223, F3, 39) (dual of [2223, 2032, 40]-code) [i]✔
37Linear OA(3234, 2238, F3, 47) (dual of [2238, 2004, 48]-code) [i]✔
38Linear OA(3200, 2239, F3, 40) (dual of [2239, 2039, 41]-code) [i]✔
39Linear OA(3246, 2250, F3, 49) (dual of [2250, 2004, 50]-code) [i]✔
40Linear OA(3242, 2246, F3, 48) (dual of [2246, 2004, 49]-code) [i]✔
41Linear OA(3204, 2250, F3, 40) (dual of [2250, 2046, 41]-code) [i]✔
42Linear OA(3221, 2225, F3, 46) (dual of [2225, 2004, 47]-code) [i]✔
43Linear OA(3193, 2225, F3, 40) (dual of [2225, 2032, 41]-code) [i]✔
44Linear OA(3231, 2229, F3, 47) (dual of [2229, 1998, 48]-code) [i]✔
45Linear OA(3232, 2236, F3, 47) (dual of [2236, 2004, 48]-code) [i]✔
46Linear OA(3198, 2231, F3, 40) (dual of [2231, 2033, 41]-code) [i]✔
47Linear OA(3199, 2238, F3, 40) (dual of [2238, 2039, 41]-code) [i]✔
48Linear OA(3197, 2236, F3, 39) (dual of [2236, 2039, 40]-code) [i]✔
49Linear OA(3241, 2245, F3, 48) (dual of [2245, 2004, 49]-code) [i]✔
50Linear OA(3220, 2218, F3, 46) (dual of [2218, 1998, 47]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
51Linear OA(3218, 2216, F3, 45) (dual of [2216, 1998, 46]-code) [i]✔
52Linear OA(3213, 2219, F3, 44) (dual of [2219, 2006, 45]-code) [i]✔
53Linear OA(3212, 2217, F3, 44) (dual of [2217, 2005, 45]-code) [i]✔
54Linear OA(3199, 2197, F3, 43) (dual of [2197, 1998, 44]-code) [i]✔
55Linear OA(3202, 2209, F3, 42) (dual of [2209, 2007, 43]-code) [i]✔
56Linear OA(3201, 2207, F3, 42) (dual of [2207, 2006, 43]-code) [i]✔
57Linear OA(3200, 2205, F3, 42) (dual of [2205, 2005, 43]-code) [i]✔
58Linear OA(3192, 2197, F3, 41) (dual of [2197, 2005, 42]-code) [i]✔
59Linear OA(3185, 2197, F3, 40) (dual of [2197, 2012, 41]-code) [i]✔
60Linear OA(3188, 2209, F3, 39) (dual of [2209, 2021, 40]-code) [i]✔
61Linear OA(3187, 2207, F3, 39) (dual of [2207, 2020, 40]-code) [i]✔
62Linear OA(3189, 2208, F3, 40) (dual of [2208, 2019, 41]-code) [i]✔
63Linear OA(3192, 2218, F3, 40) (dual of [2218, 2026, 41]-code) [i]✔
64Linear OA(3190, 2216, F3, 39) (dual of [2216, 2026, 40]-code) [i]✔
65Linear OOA(3183, 1093, F3, 2, 40) (dual of [(1093, 2), 2003, 41]-NRT-code) [i]OOA Folding
66Linear OOA(3183, 729, F3, 3, 40) (dual of [(729, 3), 2004, 41]-NRT-code) [i]
67Linear OOA(3183, 546, F3, 4, 40) (dual of [(546, 4), 2001, 41]-NRT-code) [i]
68Linear OOA(3183, 437, F3, 5, 40) (dual of [(437, 5), 2002, 41]-NRT-code) [i]