Information on Result #613167

Linear OA(4218, 16384, F4, 42) (dual of [16384, 16166, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42

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(4239, 16406, F4, 42) (dual of [16406, 16167, 43]-code) [i](u, u+v)-Construction
2Linear OA(4244, 16412, F4, 42) (dual of [16412, 16168, 43]-code) [i]
3Linear OA(4245, 16414, F4, 42) (dual of [16414, 16169, 43]-code) [i]
4Linear OA(4246, 16416, F4, 42) (dual of [16416, 16170, 43]-code) [i]
5Linear OOA(4218, 9670, F4, 2, 42) (dual of [(9670, 2), 19122, 43]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
6Linear OOA(4218, 9670, F4, 3, 42) (dual of [(9670, 3), 28792, 43]-NRT-code) [i]
7Digital (176, 218, 9670)-net over F4 [i]
8Linear OA(4247, 16414, F4, 42) (dual of [16414, 16167, 43]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(4225, 16391, F4, 43) (dual of [16391, 16166, 44]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
10Linear OA(4218, 16391, F4, 42) (dual of [16391, 16173, 43]-code) [i]✔
11Linear OA(4233, 16399, F4, 44) (dual of [16399, 16166, 45]-code) [i]✔
12Linear OA(4235, 16401, F4, 45) (dual of [16401, 16166, 46]-code) [i]✔
13Linear OA(4221, 16401, F4, 42) (dual of [16401, 16180, 43]-code) [i]✔
14Linear OA(4244, 16410, F4, 46) (dual of [16410, 16166, 47]-code) [i]✔
15Linear OA(4223, 16410, F4, 42) (dual of [16410, 16187, 43]-code) [i]✔
16Linear OA(4253, 16419, F4, 47) (dual of [16419, 16166, 48]-code) [i]✔
17Linear OA(4225, 16419, F4, 42) (dual of [16419, 16194, 43]-code) [i]✔
18Linear OA(4231, 16432, F4, 42) (dual of [16432, 16201, 43]-code) [i]✔
19Linear OA(4234, 16442, F4, 42) (dual of [16442, 16208, 43]-code) [i]✔
20Linear OA(4236, 16448, F4, 42) (dual of [16448, 16212, 43]-code) [i]✔
21Linear OA(4239, 16454, F4, 42) (dual of [16454, 16215, 43]-code) [i]✔
22Linear OA(4244, 16466, F4, 42) (dual of [16466, 16222, 43]-code) [i]✔
23Linear OA(4248, 16474, F4, 42) (dual of [16474, 16226, 43]-code) [i]✔
24Linear OA(4237, 16452, F4, 42) (dual of [16452, 16215, 43]-code) [i]✔
25Linear OA(4242, 16458, F4, 42) (dual of [16458, 16216, 43]-code) [i]✔
26Linear OA(4248, 16477, F4, 42) (dual of [16477, 16229, 43]-code) [i]✔
27Linear OA(4247, 16474, F4, 42) (dual of [16474, 16227, 43]-code) [i]✔
28Linear OA(4229, 16426, F4, 42) (dual of [16426, 16197, 43]-code) [i]✔
29Linear OA(4230, 16430, F4, 42) (dual of [16430, 16200, 43]-code) [i]✔
30Linear OA(4232, 16440, F4, 42) (dual of [16440, 16208, 43]-code) [i]✔
31Linear OA(4235, 16447, F4, 42) (dual of [16447, 16212, 43]-code) [i]✔
32Linear OA(4236, 16451, F4, 42) (dual of [16451, 16215, 43]-code) [i]✔
33Linear OA(4252, 16412, F4, 47) (dual of [16412, 16160, 48]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
34Linear OA(4243, 16403, F4, 46) (dual of [16403, 16160, 47]-code) [i]✔
35Linear OA(4245, 16412, F4, 46) (dual of [16412, 16167, 47]-code) [i]✔
36Linear OA(4234, 16394, F4, 45) (dual of [16394, 16160, 46]-code) [i]✔
37Linear OA(4236, 16403, F4, 45) (dual of [16403, 16167, 46]-code) [i]✔
38Linear OA(4234, 16401, F4, 44) (dual of [16401, 16167, 45]-code) [i]✔
39Linear OA(4220, 16394, F4, 42) (dual of [16394, 16174, 43]-code) [i]✔
40Linear OA(4222, 16403, F4, 42) (dual of [16403, 16181, 43]-code) [i]✔
41Linear OA(4224, 16412, F4, 42) (dual of [16412, 16188, 43]-code) [i]✔