Information on Result #612326

Linear OA(3218, 2187, F3, 47) (dual of [2187, 1969, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47

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(3241, 2211, F3, 47) (dual of [2211, 1970, 48]-code) [i](u, u+v)-Construction
2Linear OOA(3218, 1720, F3, 2, 47) (dual of [(1720, 2), 3222, 48]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3218, 1720, F3, 3, 47) (dual of [(1720, 3), 4942, 48]-NRT-code) [i]
4Linear OOA(3218, 1720, F3, 4, 47) (dual of [(1720, 4), 6662, 48]-NRT-code) [i]
5Linear OOA(3218, 1720, F3, 5, 47) (dual of [(1720, 5), 8382, 48]-NRT-code) [i]
6Digital (171, 218, 1720)-net over F3 [i]
7Linear OA(3226, 2195, F3, 49) (dual of [2195, 1969, 50]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(3218, 2194, F3, 47) (dual of [2194, 1976, 48]-code) [i]✔
9Linear OA(3235, 2200, F3, 50) (dual of [2200, 1965, 51]-code) [i]✔
10Linear OA(3236, 2205, F3, 50) (dual of [2205, 1969, 51]-code) [i]✔
11Linear OA(3221, 2200, F3, 47) (dual of [2200, 1979, 48]-code) [i]✔
12Linear OA(3222, 2205, F3, 47) (dual of [2205, 1983, 48]-code) [i]✔
13Linear OA(3246, 2214, F3, 52) (dual of [2214, 1968, 53]-code) [i]✔
14Linear OA(3247, 2216, F3, 52) (dual of [2216, 1969, 53]-code) [i]✔
15Linear OA(3245, 2214, F3, 51) (dual of [2214, 1969, 52]-code) [i]✔
16Linear OA(3223, 2207, F3, 47) (dual of [2207, 1984, 48]-code) [i]✔
17Linear OA(3224, 2214, F3, 47) (dual of [2214, 1990, 48]-code) [i]✔
18Linear OA(3228, 2223, F3, 47) (dual of [2223, 1995, 48]-code) [i]✔
19Linear OA(3229, 2226, F3, 47) (dual of [2226, 1997, 48]-code) [i]✔
20Linear OA(3234, 2238, F3, 47) (dual of [2238, 2004, 48]-code) [i]✔
21Linear OA(3239, 2250, F3, 47) (dual of [2250, 2011, 48]-code) [i]✔
22Linear OA(3242, 2260, F3, 47) (dual of [2260, 2018, 48]-code) [i]✔
23Linear OA(3228, 2225, F3, 47) (dual of [2225, 1997, 48]-code) [i]✔
24Linear OA(3231, 2229, F3, 47) (dual of [2229, 1998, 48]-code) [i]✔
25Linear OA(3232, 2236, F3, 47) (dual of [2236, 2004, 48]-code) [i]✔
26Linear OA(3244, 2209, F3, 51) (dual of [2209, 1965, 52]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
27Linear OA(3243, 2207, F3, 51) (dual of [2207, 1964, 52]-code) [i]✔
28Linear OA(3245, 2208, F3, 52) (dual of [2208, 1963, 53]-code) [i]✔
29Linear OA(3248, 2218, F3, 52) (dual of [2218, 1970, 53]-code) [i]✔
30Linear OA(3246, 2216, F3, 51) (dual of [2216, 1970, 52]-code) [i]✔
31Linear OA(3234, 2197, F3, 50) (dual of [2197, 1963, 51]-code) [i]✔
32Linear OA(3227, 2197, F3, 49) (dual of [2197, 1970, 50]-code) [i]✔
33Linear OA(3220, 2197, F3, 47) (dual of [2197, 1977, 48]-code) [i]✔
34Linear OA(3227, 2219, F3, 47) (dual of [2219, 1992, 48]-code) [i]✔
35Linear OA(3226, 2217, F3, 47) (dual of [2217, 1991, 48]-code) [i]✔