Information on Result #612071

Linear OA(3134, 2187, F3, 29) (dual of [2187, 2053, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

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(3148, 2202, F3, 29) (dual of [2202, 2054, 30]-code) [i](u, u+v)-Construction
2Linear OA(3152, 2207, F3, 29) (dual of [2207, 2055, 30]-code) [i]
3Linear OOA(3134, 1199, F3, 2, 29) (dual of [(1199, 2), 2264, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(3134, 1199, F3, 3, 29) (dual of [(1199, 3), 3463, 30]-NRT-code) [i]
5Linear OOA(3134, 1199, F3, 4, 29) (dual of [(1199, 4), 4662, 30]-NRT-code) [i]
6Linear OOA(3134, 1199, F3, 5, 29) (dual of [(1199, 5), 5861, 30]-NRT-code) [i]
7Digital (105, 134, 1199)-net over F3 [i]
8Linear OA(3142, 2195, F3, 31) (dual of [2195, 2053, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
9Linear OA(3134, 2194, F3, 29) (dual of [2194, 2060, 30]-code) [i]✔
10Linear OA(3151, 2200, F3, 32) (dual of [2200, 2049, 33]-code) [i]✔
11Linear OA(3152, 2205, F3, 32) (dual of [2205, 2053, 33]-code) [i]✔
12Linear OA(3137, 2200, F3, 29) (dual of [2200, 2063, 30]-code) [i]✔
13Linear OA(3138, 2205, F3, 29) (dual of [2205, 2067, 30]-code) [i]✔
14Linear OA(3162, 2214, F3, 34) (dual of [2214, 2052, 35]-code) [i]✔
15Linear OA(3163, 2216, F3, 34) (dual of [2216, 2053, 35]-code) [i]✔
16Linear OA(3161, 2214, F3, 33) (dual of [2214, 2053, 34]-code) [i]✔
17Linear OA(3139, 2207, F3, 29) (dual of [2207, 2068, 30]-code) [i]✔
18Linear OA(3140, 2214, F3, 29) (dual of [2214, 2074, 30]-code) [i]✔
19Linear OA(3172, 2223, F3, 35) (dual of [2223, 2051, 36]-code) [i]✔
20Linear OA(3173, 2226, F3, 35) (dual of [2226, 2053, 36]-code) [i]✔
21Linear OA(3144, 2223, F3, 29) (dual of [2223, 2079, 30]-code) [i]✔
22Linear OA(3145, 2226, F3, 29) (dual of [2226, 2081, 30]-code) [i]✔
23Linear OA(3186, 2239, F3, 37) (dual of [2239, 2053, 38]-code) [i]✔
24Linear OA(3150, 2238, F3, 29) (dual of [2238, 2088, 30]-code) [i]✔
25Linear OA(3197, 2250, F3, 38) (dual of [2250, 2053, 39]-code) [i]✔
26Linear OA(3172, 2225, F3, 35) (dual of [2225, 2053, 36]-code) [i]✔
27Linear OA(3144, 2225, F3, 29) (dual of [2225, 2081, 30]-code) [i]✔
28Linear OA(3185, 2238, F3, 37) (dual of [2238, 2053, 38]-code) [i]✔
29Linear OA(3183, 2236, F3, 36) (dual of [2236, 2053, 37]-code) [i]✔
30Linear OA(3147, 2229, F3, 29) (dual of [2229, 2082, 30]-code) [i]✔
31Linear OA(3148, 2236, F3, 29) (dual of [2236, 2088, 30]-code) [i]✔
32Linear OA(3171, 2219, F3, 35) (dual of [2219, 2048, 36]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
33Linear OA(3170, 2217, F3, 35) (dual of [2217, 2047, 36]-code) [i]✔
34Linear OA(3160, 2209, F3, 33) (dual of [2209, 2049, 34]-code) [i]✔
35Linear OA(3159, 2207, F3, 33) (dual of [2207, 2048, 34]-code) [i]✔
36Linear OA(3161, 2208, F3, 34) (dual of [2208, 2047, 35]-code) [i]✔
37Linear OA(3164, 2218, F3, 34) (dual of [2218, 2054, 35]-code) [i]✔
38Linear OA(3162, 2216, F3, 33) (dual of [2216, 2054, 34]-code) [i]✔
39Linear OA(3150, 2197, F3, 32) (dual of [2197, 2047, 33]-code) [i]✔
40Linear OA(3143, 2197, F3, 31) (dual of [2197, 2054, 32]-code) [i]✔
41Linear OA(3136, 2197, F3, 29) (dual of [2197, 2061, 30]-code) [i]✔
42Linear OA(3143, 2219, F3, 29) (dual of [2219, 2076, 30]-code) [i]✔
43Linear OA(3142, 2217, F3, 29) (dual of [2217, 2075, 30]-code) [i]✔