Information on Result #675898

Linear OA(3141, 2187, F3, 31) (dual of [2187, 2046, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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 OOA(3141, 1147, F3, 2, 31) (dual of [(1147, 2), 2153, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3141, 1147, F3, 3, 31) (dual of [(1147, 3), 3300, 32]-NRT-code) [i]
3Linear OOA(3141, 1147, F3, 4, 31) (dual of [(1147, 4), 4447, 32]-NRT-code) [i]
4Linear OOA(3141, 1147, F3, 5, 31) (dual of [(1147, 5), 5594, 32]-NRT-code) [i]
5Digital (110, 141, 1147)-net over F3 [i]
6Linear OA(3148, 2194, F3, 32) (dual of [2194, 2046, 33]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(3142, 2195, F3, 31) (dual of [2195, 2053, 32]-code) [i]✔
8Linear OA(3158, 2200, F3, 34) (dual of [2200, 2042, 35]-code) [i]✔
9Linear OA(3159, 2205, F3, 34) (dual of [2205, 2046, 35]-code) [i]✔
10Linear OA(3142, 2202, F3, 30) (dual of [2202, 2060, 31]-code) [i]✔
11Linear OA(3144, 2200, F3, 31) (dual of [2200, 2056, 32]-code) [i]✔
12Linear OA(3145, 2205, F3, 31) (dual of [2205, 2060, 32]-code) [i]✔
13Linear OA(3167, 2207, F3, 35) (dual of [2207, 2040, 36]-code) [i]✔
14Linear OA(3168, 2214, F3, 35) (dual of [2214, 2046, 36]-code) [i]✔
15Linear OA(3148, 2214, F3, 31) (dual of [2214, 2066, 32]-code) [i]✔
16Linear OA(3147, 2214, F3, 30) (dual of [2214, 2067, 31]-code) [i]✔
17Linear OA(3192, 2238, F3, 38) (dual of [2238, 2046, 39]-code) [i]✔
18Linear OA(3158, 2239, F3, 31) (dual of [2239, 2081, 32]-code) [i]✔
19Linear OA(3204, 2250, F3, 40) (dual of [2250, 2046, 41]-code) [i]✔
20Linear OA(3158, 2246, F3, 30) (dual of [2246, 2088, 31]-code) [i]✔
21Linear OA(3214, 2260, F3, 41) (dual of [2260, 2046, 42]-code) [i]✔
22Linear OA(3189, 2229, F3, 38) (dual of [2229, 2040, 39]-code) [i]✔
23Linear OA(3190, 2236, F3, 38) (dual of [2236, 2046, 39]-code) [i]✔
24Linear OA(3157, 2238, F3, 31) (dual of [2238, 2081, 32]-code) [i]✔
25Linear OA(3155, 2236, F3, 30) (dual of [2236, 2081, 31]-code) [i]✔
26Linear OA(3157, 2245, F3, 30) (dual of [2245, 2088, 31]-code) [i]✔
27Linear OA(3178, 2218, F3, 37) (dual of [2218, 2040, 38]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
28Linear OA(3176, 2216, F3, 36) (dual of [2216, 2040, 37]-code) [i]✔
29Linear OA(3171, 2219, F3, 35) (dual of [2219, 2048, 36]-code) [i]✔
30Linear OA(3170, 2217, F3, 35) (dual of [2217, 2047, 36]-code) [i]✔
31Linear OA(3157, 2197, F3, 34) (dual of [2197, 2040, 35]-code) [i]✔
32Linear OA(3160, 2209, F3, 33) (dual of [2209, 2049, 34]-code) [i]✔
33Linear OA(3159, 2207, F3, 33) (dual of [2207, 2048, 34]-code) [i]✔
34Linear OA(3161, 2208, F3, 34) (dual of [2208, 2047, 35]-code) [i]✔
35Linear OA(3150, 2197, F3, 32) (dual of [2197, 2047, 33]-code) [i]✔
36Linear OA(3143, 2197, F3, 31) (dual of [2197, 2054, 32]-code) [i]✔
37Linear OA(3146, 2209, F3, 30) (dual of [2209, 2063, 31]-code) [i]✔
38Linear OA(3145, 2207, F3, 30) (dual of [2207, 2062, 31]-code) [i]✔
39Linear OA(3144, 2205, F3, 30) (dual of [2205, 2061, 31]-code) [i]✔
40Linear OA(3150, 2218, F3, 31) (dual of [2218, 2068, 32]-code) [i]✔
41Linear OA(3148, 2216, F3, 30) (dual of [2216, 2068, 31]-code) [i]✔
42Linear OOA(3141, 729, F3, 3, 31) (dual of [(729, 3), 2046, 32]-NRT-code) [i]OOA Folding
43Linear OOA(3141, 437, F3, 5, 31) (dual of [(437, 5), 2044, 32]-NRT-code) [i]