Information on Result #612891

Linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(4131, 16396, F4, 23) (dual of [16396, 16265, 24]-code) [i](u, u+v)-Construction
2Linear OA(4133, 16401, F4, 23) (dual of [16401, 16268, 24]-code) [i]
3Linear OA(4135, 16414, F4, 23) (dual of [16414, 16279, 24]-code) [i]
4Linear OA(4135, 16400, F4, 23) (dual of [16400, 16265, 24]-code) [i](u, u−v, u+v+w)-Construction
5Linear OA(4128, 16392, F4, 25) (dual of [16392, 16264, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(4120, 16391, F4, 23) (dual of [16391, 16271, 24]-code) [i]✔
7Linear OA(4137, 16401, F4, 26) (dual of [16401, 16264, 27]-code) [i]✔
8Linear OA(4121, 16399, F4, 23) (dual of [16399, 16278, 24]-code) [i]✔
9Linear OA(4146, 16410, F4, 27) (dual of [16410, 16264, 28]-code) [i]✔
10Linear OA(4125, 16410, F4, 23) (dual of [16410, 16285, 24]-code) [i]✔
11Linear OA(4158, 16422, F4, 29) (dual of [16422, 16264, 30]-code) [i]✔
12Linear OA(4155, 16419, F4, 28) (dual of [16419, 16264, 29]-code) [i]✔
13Linear OA(4127, 16419, F4, 23) (dual of [16419, 16292, 24]-code) [i]✔
14Linear OA(4168, 16432, F4, 30) (dual of [16432, 16264, 31]-code) [i]✔
15Linear OA(4130, 16429, F4, 23) (dual of [16429, 16299, 24]-code) [i]✔
16Linear OA(4178, 16442, F4, 31) (dual of [16442, 16264, 32]-code) [i]✔
17Linear OA(4136, 16442, F4, 23) (dual of [16442, 16306, 24]-code) [i]✔
18Linear OA(4188, 16449, F4, 33) (dual of [16449, 16261, 34]-code) [i]✔
19Linear OA(4191, 16455, F4, 33) (dual of [16455, 16264, 34]-code) [i]✔
20Linear OA(4157, 16420, F4, 29) (dual of [16420, 16263, 30]-code) [i]✔
21Linear OA(4189, 16452, F4, 33) (dual of [16452, 16263, 34]-code) [i]✔
22Linear OA(4190, 16454, F4, 33) (dual of [16454, 16264, 34]-code) [i]✔
23Linear OA(4188, 16452, F4, 32) (dual of [16452, 16264, 33]-code) [i]✔
24Linear OA(4200, 16458, F4, 34) (dual of [16458, 16258, 35]-code) [i]✔
25Linear OA(4157, 16421, F4, 29) (dual of [16421, 16264, 30]-code) [i]✔
26Linear OA(4166, 16426, F4, 30) (dual of [16426, 16260, 31]-code) [i]✔
27Linear OA(4167, 16430, F4, 30) (dual of [16430, 16263, 31]-code) [i]✔
28Linear OA(4129, 16428, F4, 23) (dual of [16428, 16299, 24]-code) [i]✔
29Linear OA(4176, 16440, F4, 31) (dual of [16440, 16264, 32]-code) [i]✔
30Linear OA(4134, 16440, F4, 23) (dual of [16440, 16306, 24]-code) [i]✔
31Linear OA(4188, 16450, F4, 33) (dual of [16450, 16262, 34]-code) [i]✔
32Linear OA(4157, 16417, F4, 29) (dual of [16417, 16260, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
33Linear OA(4156, 16415, F4, 29) (dual of [16415, 16259, 30]-code) [i]✔
34Linear OA(4155, 16413, F4, 29) (dual of [16413, 16258, 30]-code) [i]✔
35Linear OA(4145, 16404, F4, 27) (dual of [16404, 16259, 28]-code) [i]✔
36Linear OA(4147, 16412, F4, 27) (dual of [16412, 16265, 28]-code) [i]✔
37Linear OA(4136, 16394, F4, 26) (dual of [16394, 16258, 27]-code) [i]✔
38Linear OA(4138, 16403, F4, 26) (dual of [16403, 16265, 27]-code) [i]✔
39Linear OA(4129, 16394, F4, 25) (dual of [16394, 16265, 26]-code) [i]✔
40Linear OA(4124, 16404, F4, 23) (dual of [16404, 16280, 24]-code) [i]✔
41Linear OA(4123, 16402, F4, 23) (dual of [16402, 16279, 24]-code) [i]✔
42Linear OA(4126, 16412, F4, 23) (dual of [16412, 16286, 24]-code) [i]✔