Information on Result #675893

Linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37

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(3169, 1325, F3, 2, 37) (dual of [(1325, 2), 2481, 38]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3169, 1325, F3, 3, 37) (dual of [(1325, 3), 3806, 38]-NRT-code) [i]
3Linear OOA(3169, 1325, F3, 4, 37) (dual of [(1325, 4), 5131, 38]-NRT-code) [i]
4Linear OOA(3169, 1325, F3, 5, 37) (dual of [(1325, 5), 6456, 38]-NRT-code) [i]
5Digital (132, 169, 1325)-net over F3 [i]
6Linear OA(3176, 2194, F3, 38) (dual of [2194, 2018, 39]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(3170, 2195, F3, 37) (dual of [2195, 2025, 38]-code) [i]✔
8Linear OA(3186, 2200, F3, 40) (dual of [2200, 2014, 41]-code) [i]✔
9Linear OA(3187, 2205, F3, 40) (dual of [2205, 2018, 41]-code) [i]✔
10Linear OA(3170, 2202, F3, 36) (dual of [2202, 2032, 37]-code) [i]✔
11Linear OA(3172, 2200, F3, 37) (dual of [2200, 2028, 38]-code) [i]✔
12Linear OA(3173, 2205, F3, 37) (dual of [2205, 2032, 38]-code) [i]✔
13Linear OA(3195, 2207, F3, 41) (dual of [2207, 2012, 42]-code) [i]✔
14Linear OA(3196, 2214, F3, 41) (dual of [2214, 2018, 42]-code) [i]✔
15Linear OA(3176, 2214, F3, 37) (dual of [2214, 2038, 38]-code) [i]✔
16Linear OA(3175, 2214, F3, 36) (dual of [2214, 2039, 37]-code) [i]✔
17Linear OA(3220, 2238, F3, 44) (dual of [2238, 2018, 45]-code) [i]✔
18Linear OA(3186, 2239, F3, 37) (dual of [2239, 2053, 38]-code) [i]✔
19Linear OA(3232, 2250, F3, 46) (dual of [2250, 2018, 47]-code) [i]✔
20Linear OA(3190, 2250, F3, 37) (dual of [2250, 2060, 38]-code) [i]✔
21Linear OA(3186, 2246, F3, 36) (dual of [2246, 2060, 37]-code) [i]✔
22Linear OA(3242, 2260, F3, 47) (dual of [2260, 2018, 48]-code) [i]✔
23Linear OA(3217, 2229, F3, 44) (dual of [2229, 2012, 45]-code) [i]✔
24Linear OA(3218, 2236, F3, 44) (dual of [2236, 2018, 45]-code) [i]✔
25Linear OA(3185, 2238, F3, 37) (dual of [2238, 2053, 38]-code) [i]✔
26Linear OA(3183, 2236, F3, 36) (dual of [2236, 2053, 37]-code) [i]✔
27Linear OA(3185, 2245, F3, 36) (dual of [2245, 2060, 37]-code) [i]✔
28Linear OA(3206, 2218, F3, 43) (dual of [2218, 2012, 44]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
29Linear OA(3204, 2216, F3, 42) (dual of [2216, 2012, 43]-code) [i]✔
30Linear OA(3199, 2219, F3, 41) (dual of [2219, 2020, 42]-code) [i]✔
31Linear OA(3198, 2217, F3, 41) (dual of [2217, 2019, 42]-code) [i]✔
32Linear OA(3185, 2197, F3, 40) (dual of [2197, 2012, 41]-code) [i]✔
33Linear OA(3188, 2209, F3, 39) (dual of [2209, 2021, 40]-code) [i]✔
34Linear OA(3187, 2207, F3, 39) (dual of [2207, 2020, 40]-code) [i]✔
35Linear OA(3189, 2208, F3, 40) (dual of [2208, 2019, 41]-code) [i]✔
36Linear OA(3178, 2197, F3, 38) (dual of [2197, 2019, 39]-code) [i]✔
37Linear OA(3171, 2197, F3, 37) (dual of [2197, 2026, 38]-code) [i]✔
38Linear OA(3174, 2209, F3, 36) (dual of [2209, 2035, 37]-code) [i]✔
39Linear OA(3173, 2207, F3, 36) (dual of [2207, 2034, 37]-code) [i]✔
40Linear OA(3172, 2205, F3, 36) (dual of [2205, 2033, 37]-code) [i]✔
41Linear OA(3178, 2218, F3, 37) (dual of [2218, 2040, 38]-code) [i]✔
42Linear OA(3176, 2216, F3, 36) (dual of [2216, 2040, 37]-code) [i]✔
43Linear OOA(3169, 729, F3, 3, 37) (dual of [(729, 3), 2018, 38]-NRT-code) [i]OOA Folding
44Linear OOA(3169, 437, F3, 5, 37) (dual of [(437, 5), 2016, 38]-NRT-code) [i]