Information on Result #612121

Linear OA(3148, 2187, F3, 32) (dual of [2187, 2039, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32

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(3164, 2204, F3, 32) (dual of [2204, 2040, 33]-code) [i](u, u+v)-Construction
2Linear OOA(3148, 1284, F3, 2, 32) (dual of [(1284, 2), 2420, 33]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3148, 1284, F3, 3, 32) (dual of [(1284, 3), 3704, 33]-NRT-code) [i]
4Linear OOA(3148, 1284, F3, 4, 32) (dual of [(1284, 4), 4988, 33]-NRT-code) [i]
5Linear OOA(3148, 1284, F3, 5, 32) (dual of [(1284, 5), 6272, 33]-NRT-code) [i]
6Digital (116, 148, 1284)-net over F3 [i]
7Linear OA(3156, 2195, F3, 34) (dual of [2195, 2039, 35]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(3148, 2194, F3, 32) (dual of [2194, 2046, 33]-code) [i]✔
9Linear OA(3165, 2200, F3, 35) (dual of [2200, 2035, 36]-code) [i]✔
10Linear OA(3166, 2205, F3, 35) (dual of [2205, 2039, 36]-code) [i]✔
11Linear OA(3151, 2200, F3, 32) (dual of [2200, 2049, 33]-code) [i]✔
12Linear OA(3152, 2205, F3, 32) (dual of [2205, 2053, 33]-code) [i]✔
13Linear OA(3176, 2214, F3, 37) (dual of [2214, 2038, 38]-code) [i]✔
14Linear OA(3175, 2214, F3, 36) (dual of [2214, 2039, 37]-code) [i]✔
15Linear OA(3153, 2207, F3, 32) (dual of [2207, 2054, 33]-code) [i]✔
16Linear OA(3154, 2214, F3, 32) (dual of [2214, 2060, 33]-code) [i]✔
17Linear OA(3186, 2223, F3, 38) (dual of [2223, 2037, 39]-code) [i]✔
18Linear OA(3187, 2226, F3, 38) (dual of [2226, 2039, 39]-code) [i]✔
19Linear OA(3158, 2223, F3, 32) (dual of [2223, 2065, 33]-code) [i]✔
20Linear OA(3159, 2226, F3, 32) (dual of [2226, 2067, 33]-code) [i]✔
21Linear OA(3200, 2239, F3, 40) (dual of [2239, 2039, 41]-code) [i]✔
22Linear OA(3164, 2238, F3, 32) (dual of [2238, 2074, 33]-code) [i]✔
23Linear OA(3211, 2250, F3, 41) (dual of [2250, 2039, 42]-code) [i]✔
24Linear OA(3186, 2225, F3, 38) (dual of [2225, 2039, 39]-code) [i]✔
25Linear OA(3158, 2225, F3, 32) (dual of [2225, 2067, 33]-code) [i]✔
26Linear OA(3198, 2231, F3, 40) (dual of [2231, 2033, 41]-code) [i]✔
27Linear OA(3199, 2238, F3, 40) (dual of [2238, 2039, 41]-code) [i]✔
28Linear OA(3197, 2236, F3, 39) (dual of [2236, 2039, 40]-code) [i]✔
29Linear OA(3161, 2229, F3, 32) (dual of [2229, 2068, 33]-code) [i]✔
30Linear OA(3162, 2236, F3, 32) (dual of [2236, 2074, 33]-code) [i]✔
31Linear OA(3185, 2219, F3, 38) (dual of [2219, 2034, 39]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
32Linear OA(3184, 2217, F3, 38) (dual of [2217, 2033, 39]-code) [i]✔
33Linear OA(3174, 2209, F3, 36) (dual of [2209, 2035, 37]-code) [i]✔
34Linear OA(3173, 2207, F3, 36) (dual of [2207, 2034, 37]-code) [i]✔
35Linear OA(3172, 2205, F3, 36) (dual of [2205, 2033, 37]-code) [i]✔
36Linear OA(3178, 2218, F3, 37) (dual of [2218, 2040, 38]-code) [i]✔
37Linear OA(3176, 2216, F3, 36) (dual of [2216, 2040, 37]-code) [i]✔
38Linear OA(3164, 2197, F3, 35) (dual of [2197, 2033, 36]-code) [i]✔
39Linear OA(3157, 2197, F3, 34) (dual of [2197, 2040, 35]-code) [i]✔
40Linear OA(3150, 2197, F3, 32) (dual of [2197, 2047, 33]-code) [i]✔
41Linear OA(3157, 2219, F3, 32) (dual of [2219, 2062, 33]-code) [i]✔
42Linear OA(3156, 2217, F3, 32) (dual of [2217, 2061, 33]-code) [i]✔