Information on Result #612215

Linear OA(3176, 2187, F3, 38) (dual of [2187, 2011, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38

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(3195, 2207, F3, 38) (dual of [2207, 2012, 39]-code) [i](u, u+v)-Construction
2Linear OOA(3176, 1457, F3, 2, 38) (dual of [(1457, 2), 2738, 39]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3176, 1457, F3, 3, 38) (dual of [(1457, 3), 4195, 39]-NRT-code) [i]
4Linear OOA(3176, 1457, F3, 4, 38) (dual of [(1457, 4), 5652, 39]-NRT-code) [i]
5Linear OOA(3176, 1457, F3, 5, 38) (dual of [(1457, 5), 7109, 39]-NRT-code) [i]
6Digital (138, 176, 1457)-net over F3 [i]
7Linear OA(3184, 2195, F3, 40) (dual of [2195, 2011, 41]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(3176, 2194, F3, 38) (dual of [2194, 2018, 39]-code) [i]✔
9Linear OA(3193, 2200, F3, 41) (dual of [2200, 2007, 42]-code) [i]✔
10Linear OA(3194, 2205, F3, 41) (dual of [2205, 2011, 42]-code) [i]✔
11Linear OA(3179, 2200, F3, 38) (dual of [2200, 2021, 39]-code) [i]✔
12Linear OA(3180, 2205, F3, 38) (dual of [2205, 2025, 39]-code) [i]✔
13Linear OA(3204, 2214, F3, 43) (dual of [2214, 2010, 44]-code) [i]✔
14Linear OA(3203, 2214, F3, 42) (dual of [2214, 2011, 43]-code) [i]✔
15Linear OA(3181, 2207, F3, 38) (dual of [2207, 2026, 39]-code) [i]✔
16Linear OA(3182, 2214, F3, 38) (dual of [2214, 2032, 39]-code) [i]✔
17Linear OA(3214, 2223, F3, 44) (dual of [2223, 2009, 45]-code) [i]✔
18Linear OA(3215, 2226, F3, 44) (dual of [2226, 2011, 45]-code) [i]✔
19Linear OA(3186, 2223, F3, 38) (dual of [2223, 2037, 39]-code) [i]✔
20Linear OA(3187, 2226, F3, 38) (dual of [2226, 2039, 39]-code) [i]✔
21Linear OA(3228, 2239, F3, 46) (dual of [2239, 2011, 47]-code) [i]✔
22Linear OA(3192, 2238, F3, 38) (dual of [2238, 2046, 39]-code) [i]✔
23Linear OA(3239, 2250, F3, 47) (dual of [2250, 2011, 48]-code) [i]✔
24Linear OA(3197, 2250, F3, 38) (dual of [2250, 2053, 39]-code) [i]✔
25Linear OA(3250, 2261, F3, 49) (dual of [2261, 2011, 50]-code) [i]✔
26Linear OA(3200, 2260, F3, 38) (dual of [2260, 2060, 39]-code) [i]✔
27Linear OA(3214, 2225, F3, 44) (dual of [2225, 2011, 45]-code) [i]✔
28Linear OA(3186, 2225, F3, 38) (dual of [2225, 2039, 39]-code) [i]✔
29Linear OA(3226, 2231, F3, 46) (dual of [2231, 2005, 47]-code) [i]✔
30Linear OA(3227, 2238, F3, 46) (dual of [2238, 2011, 47]-code) [i]✔
31Linear OA(3225, 2236, F3, 45) (dual of [2236, 2011, 46]-code) [i]✔
32Linear OA(3189, 2229, F3, 38) (dual of [2229, 2040, 39]-code) [i]✔
33Linear OA(3190, 2236, F3, 38) (dual of [2236, 2046, 39]-code) [i]✔
34Linear OA(3213, 2219, F3, 44) (dual of [2219, 2006, 45]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
35Linear OA(3212, 2217, F3, 44) (dual of [2217, 2005, 45]-code) [i]✔
36Linear OA(3202, 2209, F3, 42) (dual of [2209, 2007, 43]-code) [i]✔
37Linear OA(3201, 2207, F3, 42) (dual of [2207, 2006, 43]-code) [i]✔
38Linear OA(3200, 2205, F3, 42) (dual of [2205, 2005, 43]-code) [i]✔
39Linear OA(3206, 2218, F3, 43) (dual of [2218, 2012, 44]-code) [i]✔
40Linear OA(3204, 2216, F3, 42) (dual of [2216, 2012, 43]-code) [i]✔
41Linear OA(3192, 2197, F3, 41) (dual of [2197, 2005, 42]-code) [i]✔
42Linear OA(3185, 2197, F3, 40) (dual of [2197, 2012, 41]-code) [i]✔
43Linear OA(3178, 2197, F3, 38) (dual of [2197, 2019, 39]-code) [i]✔
44Linear OA(3185, 2219, F3, 38) (dual of [2219, 2034, 39]-code) [i]✔
45Linear OA(3184, 2217, F3, 38) (dual of [2217, 2033, 39]-code) [i]✔