Information on Result #611908

Linear OA(399, 2187, F3, 22) (dual of [2187, 2088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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(398, 2186, F3, 21) (dual of [2186, 2088, 22]-code) [i]Truncation
2Linear OA(3110, 2199, F3, 22) (dual of [2199, 2089, 23]-code) [i](u, u+v)-Construction
3Linear OA(3106, 2194, F3, 23) (dual of [2194, 2088, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(3100, 2195, F3, 22) (dual of [2195, 2095, 23]-code) [i]✔
5Linear OA(3114, 2202, F3, 24) (dual of [2202, 2088, 25]-code) [i]✔
6Linear OA(3116, 2200, F3, 25) (dual of [2200, 2084, 26]-code) [i]✔
7Linear OA(3117, 2205, F3, 25) (dual of [2205, 2088, 26]-code) [i]✔
8Linear OA(3102, 2200, F3, 22) (dual of [2200, 2098, 23]-code) [i]✔
9Linear OA(3103, 2205, F3, 22) (dual of [2205, 2102, 23]-code) [i]✔
10Linear OA(3125, 2207, F3, 26) (dual of [2207, 2082, 27]-code) [i]✔
11Linear OA(3126, 2214, F3, 26) (dual of [2214, 2088, 27]-code) [i]✔
12Linear OA(3106, 2214, F3, 22) (dual of [2214, 2108, 23]-code) [i]✔
13Linear OA(3107, 2216, F3, 22) (dual of [2216, 2109, 23]-code) [i]✔
14Linear OA(3105, 2214, F3, 21) (dual of [2214, 2109, 22]-code) [i]✔
15Linear OA(3137, 2223, F3, 28) (dual of [2223, 2086, 29]-code) [i]✔
16Linear OA(3138, 2226, F3, 28) (dual of [2226, 2088, 29]-code) [i]✔
17Linear OA(3135, 2223, F3, 27) (dual of [2223, 2088, 28]-code) [i]✔
18Linear OA(3109, 2223, F3, 22) (dual of [2223, 2114, 23]-code) [i]✔
19Linear OA(3110, 2226, F3, 22) (dual of [2226, 2116, 23]-code) [i]✔
20Linear OA(3107, 2223, F3, 21) (dual of [2223, 2116, 22]-code) [i]✔
21Linear OA(3150, 2238, F3, 29) (dual of [2238, 2088, 30]-code) [i]✔
22Linear OA(3158, 2246, F3, 30) (dual of [2246, 2088, 31]-code) [i]✔
23Linear OA(3137, 2225, F3, 28) (dual of [2225, 2088, 29]-code) [i]✔
24Linear OA(3109, 2225, F3, 22) (dual of [2225, 2116, 23]-code) [i]✔
25Linear OA(3147, 2229, F3, 29) (dual of [2229, 2082, 30]-code) [i]✔
26Linear OA(3148, 2236, F3, 29) (dual of [2236, 2088, 30]-code) [i]✔
27Linear OA(3157, 2245, F3, 30) (dual of [2245, 2088, 31]-code) [i]✔
28Linear OA(3136, 2218, F3, 28) (dual of [2218, 2082, 29]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
29Linear OA(3134, 2216, F3, 27) (dual of [2216, 2082, 28]-code) [i]✔
30Linear OA(3129, 2219, F3, 26) (dual of [2219, 2090, 27]-code) [i]✔
31Linear OA(3128, 2217, F3, 26) (dual of [2217, 2089, 27]-code) [i]✔
32Linear OA(3115, 2197, F3, 25) (dual of [2197, 2082, 26]-code) [i]✔
33Linear OA(3118, 2209, F3, 24) (dual of [2209, 2091, 25]-code) [i]✔
34Linear OA(3117, 2207, F3, 24) (dual of [2207, 2090, 25]-code) [i]✔
35Linear OA(3116, 2205, F3, 24) (dual of [2205, 2089, 25]-code) [i]✔
36Linear OA(3108, 2197, F3, 23) (dual of [2197, 2089, 24]-code) [i]✔
37Linear OA(3101, 2197, F3, 22) (dual of [2197, 2096, 23]-code) [i]✔
38Linear OA(3104, 2209, F3, 21) (dual of [2209, 2105, 22]-code) [i]✔
39Linear OA(3103, 2207, F3, 21) (dual of [2207, 2104, 22]-code) [i]✔
40Linear OA(3105, 2208, F3, 22) (dual of [2208, 2103, 23]-code) [i]✔
41Linear OA(3108, 2218, F3, 22) (dual of [2218, 2110, 23]-code) [i]✔
42Linear OA(3106, 2216, F3, 21) (dual of [2216, 2110, 22]-code) [i]✔
43Linear OOA(399, 1093, F3, 2, 22) (dual of [(1093, 2), 2087, 23]-NRT-code) [i]OOA Folding
44Linear OOA(399, 729, F3, 3, 22) (dual of [(729, 3), 2088, 23]-NRT-code) [i]
45Linear OOA(399, 546, F3, 4, 22) (dual of [(546, 4), 2085, 23]-NRT-code) [i]
46Linear OOA(399, 437, F3, 5, 22) (dual of [(437, 5), 2086, 23]-NRT-code) [i]