Information on Result #612005

Linear OA(3120, 2187, F3, 26) (dual of [2187, 2067, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26

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(3133, 2201, F3, 26) (dual of [2201, 2068, 27]-code) [i](u, u+v)-Construction
2Linear OOA(3120, 1116, F3, 2, 26) (dual of [(1116, 2), 2112, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3120, 1116, F3, 3, 26) (dual of [(1116, 3), 3228, 27]-NRT-code) [i]
4Linear OOA(3120, 1116, F3, 4, 26) (dual of [(1116, 4), 4344, 27]-NRT-code) [i]
5Linear OOA(3120, 1116, F3, 5, 26) (dual of [(1116, 5), 5460, 27]-NRT-code) [i]
6Digital (94, 120, 1116)-net over F3 [i]
7Linear OA(3128, 2195, F3, 28) (dual of [2195, 2067, 29]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(3120, 2194, F3, 26) (dual of [2194, 2074, 27]-code) [i]✔
9Linear OA(3137, 2200, F3, 29) (dual of [2200, 2063, 30]-code) [i]✔
10Linear OA(3138, 2205, F3, 29) (dual of [2205, 2067, 30]-code) [i]✔
11Linear OA(3123, 2200, F3, 26) (dual of [2200, 2077, 27]-code) [i]✔
12Linear OA(3124, 2205, F3, 26) (dual of [2205, 2081, 27]-code) [i]✔
13Linear OA(3148, 2214, F3, 31) (dual of [2214, 2066, 32]-code) [i]✔
14Linear OA(3147, 2214, F3, 30) (dual of [2214, 2067, 31]-code) [i]✔
15Linear OA(3125, 2207, F3, 26) (dual of [2207, 2082, 27]-code) [i]✔
16Linear OA(3126, 2214, F3, 26) (dual of [2214, 2088, 27]-code) [i]✔
17Linear OA(3158, 2223, F3, 32) (dual of [2223, 2065, 33]-code) [i]✔
18Linear OA(3159, 2226, F3, 32) (dual of [2226, 2067, 33]-code) [i]✔
19Linear OA(3130, 2223, F3, 26) (dual of [2223, 2093, 27]-code) [i]✔
20Linear OA(3131, 2226, F3, 26) (dual of [2226, 2095, 27]-code) [i]✔
21Linear OA(3172, 2239, F3, 34) (dual of [2239, 2067, 35]-code) [i]✔
22Linear OA(3136, 2238, F3, 26) (dual of [2238, 2102, 27]-code) [i]✔
23Linear OA(3183, 2250, F3, 35) (dual of [2250, 2067, 36]-code) [i]✔
24Linear OA(3158, 2225, F3, 32) (dual of [2225, 2067, 33]-code) [i]✔
25Linear OA(3130, 2225, F3, 26) (dual of [2225, 2095, 27]-code) [i]✔
26Linear OA(3170, 2231, F3, 34) (dual of [2231, 2061, 35]-code) [i]✔
27Linear OA(3171, 2238, F3, 34) (dual of [2238, 2067, 35]-code) [i]✔
28Linear OA(3169, 2236, F3, 33) (dual of [2236, 2067, 34]-code) [i]✔
29Linear OA(3133, 2229, F3, 26) (dual of [2229, 2096, 27]-code) [i]✔
30Linear OA(3134, 2236, F3, 26) (dual of [2236, 2102, 27]-code) [i]✔
31Linear OA(3157, 2219, F3, 32) (dual of [2219, 2062, 33]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
32Linear OA(3156, 2217, F3, 32) (dual of [2217, 2061, 33]-code) [i]✔
33Linear OA(3146, 2209, F3, 30) (dual of [2209, 2063, 31]-code) [i]✔
34Linear OA(3145, 2207, F3, 30) (dual of [2207, 2062, 31]-code) [i]✔
35Linear OA(3144, 2205, F3, 30) (dual of [2205, 2061, 31]-code) [i]✔
36Linear OA(3150, 2218, F3, 31) (dual of [2218, 2068, 32]-code) [i]✔
37Linear OA(3148, 2216, F3, 30) (dual of [2216, 2068, 31]-code) [i]✔
38Linear OA(3136, 2197, F3, 29) (dual of [2197, 2061, 30]-code) [i]✔
39Linear OA(3129, 2197, F3, 28) (dual of [2197, 2068, 29]-code) [i]✔
40Linear OA(3122, 2197, F3, 26) (dual of [2197, 2075, 27]-code) [i]✔
41Linear OA(3129, 2219, F3, 26) (dual of [2219, 2090, 27]-code) [i]✔
42Linear OA(3128, 2217, F3, 26) (dual of [2217, 2089, 27]-code) [i]✔