Information on Result #611931

Linear OA(3106, 2187, F3, 23) (dual of [2187, 2081, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(3117, 2199, F3, 23) (dual of [2199, 2082, 24]-code) [i](u, u+v)-Construction
2Linear OA(3120, 2203, F3, 23) (dual of [2203, 2083, 24]-code) [i]
3Linear OA(3114, 2195, F3, 25) (dual of [2195, 2081, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(3106, 2194, F3, 23) (dual of [2194, 2088, 24]-code) [i]✔
5Linear OA(3123, 2200, F3, 26) (dual of [2200, 2077, 27]-code) [i]✔
6Linear OA(3124, 2205, F3, 26) (dual of [2205, 2081, 27]-code) [i]✔
7Linear OA(3109, 2200, F3, 23) (dual of [2200, 2091, 24]-code) [i]✔
8Linear OA(3110, 2205, F3, 23) (dual of [2205, 2095, 24]-code) [i]✔
9Linear OA(3134, 2214, F3, 28) (dual of [2214, 2080, 29]-code) [i]✔
10Linear OA(3135, 2216, F3, 28) (dual of [2216, 2081, 29]-code) [i]✔
11Linear OA(3133, 2214, F3, 27) (dual of [2214, 2081, 28]-code) [i]✔
12Linear OA(3111, 2207, F3, 23) (dual of [2207, 2096, 24]-code) [i]✔
13Linear OA(3112, 2214, F3, 23) (dual of [2214, 2102, 24]-code) [i]✔
14Linear OA(3144, 2223, F3, 29) (dual of [2223, 2079, 30]-code) [i]✔
15Linear OA(3145, 2226, F3, 29) (dual of [2226, 2081, 30]-code) [i]✔
16Linear OA(3116, 2223, F3, 23) (dual of [2223, 2107, 24]-code) [i]✔
17Linear OA(3117, 2226, F3, 23) (dual of [2226, 2109, 24]-code) [i]✔
18Linear OA(3158, 2239, F3, 31) (dual of [2239, 2081, 32]-code) [i]✔
19Linear OA(3144, 2225, F3, 29) (dual of [2225, 2081, 30]-code) [i]✔
20Linear OA(3116, 2225, F3, 23) (dual of [2225, 2109, 24]-code) [i]✔
21Linear OA(3157, 2238, F3, 31) (dual of [2238, 2081, 32]-code) [i]✔
22Linear OA(3155, 2236, F3, 30) (dual of [2236, 2081, 31]-code) [i]✔
23Linear OA(3119, 2229, F3, 23) (dual of [2229, 2110, 24]-code) [i]✔
24Linear OA(3120, 2236, F3, 23) (dual of [2236, 2116, 24]-code) [i]✔
25Linear OA(3143, 2219, F3, 29) (dual of [2219, 2076, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
26Linear OA(3142, 2217, F3, 29) (dual of [2217, 2075, 30]-code) [i]✔
27Linear OA(3132, 2209, F3, 27) (dual of [2209, 2077, 28]-code) [i]✔
28Linear OA(3131, 2207, F3, 27) (dual of [2207, 2076, 28]-code) [i]✔
29Linear OA(3133, 2208, F3, 28) (dual of [2208, 2075, 29]-code) [i]✔
30Linear OA(3136, 2218, F3, 28) (dual of [2218, 2082, 29]-code) [i]✔
31Linear OA(3134, 2216, F3, 27) (dual of [2216, 2082, 28]-code) [i]✔
32Linear OA(3122, 2197, F3, 26) (dual of [2197, 2075, 27]-code) [i]✔
33Linear OA(3115, 2197, F3, 25) (dual of [2197, 2082, 26]-code) [i]✔
34Linear OA(3108, 2197, F3, 23) (dual of [2197, 2089, 24]-code) [i]✔
35Linear OA(3115, 2219, F3, 23) (dual of [2219, 2104, 24]-code) [i]✔
36Linear OA(3114, 2217, F3, 23) (dual of [2217, 2103, 24]-code) [i]✔