Information on Result #675888

Linear OA(3197, 2187, F3, 43) (dual of [2187, 1990, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(3197, 1503, F3, 2, 43) (dual of [(1503, 2), 2809, 44]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3197, 1503, F3, 3, 43) (dual of [(1503, 3), 4312, 44]-NRT-code) [i]
3Linear OOA(3197, 1503, F3, 4, 43) (dual of [(1503, 4), 5815, 44]-NRT-code) [i]
4Linear OOA(3197, 1503, F3, 5, 43) (dual of [(1503, 5), 7318, 44]-NRT-code) [i]
5Digital (154, 197, 1503)-net over F3 [i]
6Linear OA(3204, 2194, F3, 44) (dual of [2194, 1990, 45]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(3198, 2195, F3, 43) (dual of [2195, 1997, 44]-code) [i]✔
8Linear OA(3214, 2200, F3, 46) (dual of [2200, 1986, 47]-code) [i]✔
9Linear OA(3215, 2205, F3, 46) (dual of [2205, 1990, 47]-code) [i]✔
10Linear OA(3198, 2202, F3, 42) (dual of [2202, 2004, 43]-code) [i]✔
11Linear OA(3200, 2200, F3, 43) (dual of [2200, 2000, 44]-code) [i]✔
12Linear OA(3201, 2205, F3, 43) (dual of [2205, 2004, 44]-code) [i]✔
13Linear OA(3223, 2207, F3, 47) (dual of [2207, 1984, 48]-code) [i]✔
14Linear OA(3224, 2214, F3, 47) (dual of [2214, 1990, 48]-code) [i]✔
15Linear OA(3204, 2214, F3, 43) (dual of [2214, 2010, 44]-code) [i]✔
16Linear OA(3203, 2214, F3, 42) (dual of [2214, 2011, 43]-code) [i]✔
17Linear OA(3248, 2238, F3, 50) (dual of [2238, 1990, 51]-code) [i]✔
18Linear OA(3214, 2239, F3, 43) (dual of [2239, 2025, 44]-code) [i]✔
19Linear OA(3218, 2250, F3, 43) (dual of [2250, 2032, 44]-code) [i]✔
20Linear OA(3214, 2246, F3, 42) (dual of [2246, 2032, 43]-code) [i]✔
21Linear OA(3245, 2229, F3, 50) (dual of [2229, 1984, 51]-code) [i]✔
22Linear OA(3246, 2236, F3, 50) (dual of [2236, 1990, 51]-code) [i]✔
23Linear OA(3213, 2238, F3, 43) (dual of [2238, 2025, 44]-code) [i]✔
24Linear OA(3211, 2236, F3, 42) (dual of [2236, 2025, 43]-code) [i]✔
25Linear OA(3213, 2245, F3, 42) (dual of [2245, 2032, 43]-code) [i]✔
26Linear OA(3234, 2218, F3, 49) (dual of [2218, 1984, 50]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
27Linear OA(3232, 2216, F3, 48) (dual of [2216, 1984, 49]-code) [i]✔
28Linear OA(3227, 2219, F3, 47) (dual of [2219, 1992, 48]-code) [i]✔
29Linear OA(3226, 2217, F3, 47) (dual of [2217, 1991, 48]-code) [i]✔
30Linear OA(3213, 2197, F3, 46) (dual of [2197, 1984, 47]-code) [i]✔
31Linear OA(3216, 2209, F3, 45) (dual of [2209, 1993, 46]-code) [i]✔
32Linear OA(3215, 2207, F3, 45) (dual of [2207, 1992, 46]-code) [i]✔
33Linear OA(3217, 2208, F3, 46) (dual of [2208, 1991, 47]-code) [i]✔
34Linear OA(3206, 2197, F3, 44) (dual of [2197, 1991, 45]-code) [i]✔
35Linear OA(3199, 2197, F3, 43) (dual of [2197, 1998, 44]-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 OOA(3197, 729, F3, 3, 43) (dual of [(729, 3), 1990, 44]-NRT-code) [i]OOA Folding
42Linear OOA(3197, 437, F3, 5, 43) (dual of [(437, 5), 1988, 44]-NRT-code) [i]