Information on Result #612168

Linear OA(3162, 2187, F3, 35) (dual of [2187, 2025, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35

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(3179, 2205, F3, 35) (dual of [2205, 2026, 36]-code) [i](u, u+v)-Construction
2Linear OA(3184, 2211, F3, 35) (dual of [2211, 2027, 36]-code) [i]
3Linear OOA(3162, 1370, F3, 2, 35) (dual of [(1370, 2), 2578, 36]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(3162, 1370, F3, 3, 35) (dual of [(1370, 3), 3948, 36]-NRT-code) [i]
5Linear OOA(3162, 1370, F3, 4, 35) (dual of [(1370, 4), 5318, 36]-NRT-code) [i]
6Linear OOA(3162, 1370, F3, 5, 35) (dual of [(1370, 5), 6688, 36]-NRT-code) [i]
7Digital (127, 162, 1370)-net over F3 [i]
8Linear OA(3170, 2195, F3, 37) (dual of [2195, 2025, 38]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
9Linear OA(3162, 2194, F3, 35) (dual of [2194, 2032, 36]-code) [i]✔
10Linear OA(3179, 2200, F3, 38) (dual of [2200, 2021, 39]-code) [i]✔
11Linear OA(3180, 2205, F3, 38) (dual of [2205, 2025, 39]-code) [i]✔
12Linear OA(3165, 2200, F3, 35) (dual of [2200, 2035, 36]-code) [i]✔
13Linear OA(3166, 2205, F3, 35) (dual of [2205, 2039, 36]-code) [i]✔
14Linear OA(3190, 2214, F3, 40) (dual of [2214, 2024, 41]-code) [i]✔
15Linear OA(3191, 2216, F3, 40) (dual of [2216, 2025, 41]-code) [i]✔
16Linear OA(3189, 2214, F3, 39) (dual of [2214, 2025, 40]-code) [i]✔
17Linear OA(3167, 2207, F3, 35) (dual of [2207, 2040, 36]-code) [i]✔
18Linear OA(3168, 2214, F3, 35) (dual of [2214, 2046, 36]-code) [i]✔
19Linear OA(3200, 2223, F3, 41) (dual of [2223, 2023, 42]-code) [i]✔
20Linear OA(3201, 2226, F3, 41) (dual of [2226, 2025, 42]-code) [i]✔
21Linear OA(3172, 2223, F3, 35) (dual of [2223, 2051, 36]-code) [i]✔
22Linear OA(3173, 2226, F3, 35) (dual of [2226, 2053, 36]-code) [i]✔
23Linear OA(3214, 2239, F3, 43) (dual of [2239, 2025, 44]-code) [i]✔
24Linear OA(3178, 2238, F3, 35) (dual of [2238, 2060, 36]-code) [i]✔
25Linear OA(3225, 2250, F3, 44) (dual of [2250, 2025, 45]-code) [i]✔
26Linear OA(3183, 2250, F3, 35) (dual of [2250, 2067, 36]-code) [i]✔
27Linear OA(3236, 2261, F3, 46) (dual of [2261, 2025, 47]-code) [i]✔
28Linear OA(3200, 2225, F3, 41) (dual of [2225, 2025, 42]-code) [i]✔
29Linear OA(3172, 2225, F3, 35) (dual of [2225, 2053, 36]-code) [i]✔
30Linear OA(3213, 2238, F3, 43) (dual of [2238, 2025, 44]-code) [i]✔
31Linear OA(3211, 2236, F3, 42) (dual of [2236, 2025, 43]-code) [i]✔
32Linear OA(3175, 2229, F3, 35) (dual of [2229, 2054, 36]-code) [i]✔
33Linear OA(3176, 2236, F3, 35) (dual of [2236, 2060, 36]-code) [i]✔
34Linear OA(3199, 2219, F3, 41) (dual of [2219, 2020, 42]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
35Linear OA(3198, 2217, F3, 41) (dual of [2217, 2019, 42]-code) [i]✔
36Linear OA(3188, 2209, F3, 39) (dual of [2209, 2021, 40]-code) [i]✔
37Linear OA(3187, 2207, F3, 39) (dual of [2207, 2020, 40]-code) [i]✔
38Linear OA(3189, 2208, F3, 40) (dual of [2208, 2019, 41]-code) [i]✔
39Linear OA(3192, 2218, F3, 40) (dual of [2218, 2026, 41]-code) [i]✔
40Linear OA(3190, 2216, F3, 39) (dual of [2216, 2026, 40]-code) [i]✔
41Linear OA(3178, 2197, F3, 38) (dual of [2197, 2019, 39]-code) [i]✔
42Linear OA(3171, 2197, F3, 37) (dual of [2197, 2026, 38]-code) [i]✔
43Linear OA(3164, 2197, F3, 35) (dual of [2197, 2033, 36]-code) [i]✔
44Linear OA(3171, 2219, F3, 35) (dual of [2219, 2048, 36]-code) [i]✔
45Linear OA(3170, 2217, F3, 35) (dual of [2217, 2047, 36]-code) [i]✔