Information on Result #679031

Linear OA(4169, 16384, F4, 33) (dual of [16384, 16215, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33

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 OA(4176, 16391, F4, 34) (dual of [16391, 16215, 35]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4170, 16392, F4, 33) (dual of [16392, 16222, 34]-code) [i]✔
3Linear OA(4170, 16399, F4, 32) (dual of [16399, 16229, 33]-code) [i]✔
4Linear OA(4172, 16401, F4, 33) (dual of [16401, 16229, 34]-code) [i]✔
5Linear OA(4195, 16410, F4, 37) (dual of [16410, 16215, 38]-code) [i]✔
6Linear OA(4193, 16405, F4, 36) (dual of [16405, 16212, 37]-code) [i]✔
7Linear OA(4174, 16410, F4, 33) (dual of [16410, 16236, 34]-code) [i]✔
8Linear OA(4172, 16405, F4, 32) (dual of [16405, 16233, 33]-code) [i]✔
9Linear OA(4204, 16419, F4, 38) (dual of [16419, 16215, 39]-code) [i]✔
10Linear OA(4214, 16429, F4, 39) (dual of [16429, 16215, 40]-code) [i]✔
11Linear OA(4182, 16432, F4, 33) (dual of [16432, 16250, 34]-code) [i]✔
12Linear OA(4179, 16429, F4, 32) (dual of [16429, 16250, 33]-code) [i]✔
13Linear OA(4236, 16448, F4, 42) (dual of [16448, 16212, 43]-code) [i]✔
14Linear OA(4239, 16454, F4, 42) (dual of [16454, 16215, 43]-code) [i]✔
15Linear OA(4188, 16449, F4, 33) (dual of [16449, 16261, 34]-code) [i]✔
16Linear OA(4191, 16455, F4, 33) (dual of [16455, 16264, 34]-code) [i]✔
17Linear OA(4191, 16462, F4, 32) (dual of [16462, 16271, 33]-code) [i]✔
18Linear OA(4258, 16469, F4, 44) (dual of [16469, 16211, 45]-code) [i]✔
19Linear OA(4260, 16474, F4, 44) (dual of [16474, 16214, 45]-code) [i]✔
20Linear OA(4237, 16452, F4, 42) (dual of [16452, 16215, 43]-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(4190, 16456, F4, 32) (dual of [16456, 16266, 33]-code) [i]✔
25Linear OA(4258, 16473, F4, 44) (dual of [16473, 16215, 45]-code) [i]✔
26Linear OA(4213, 16428, F4, 39) (dual of [16428, 16215, 40]-code) [i]✔
27Linear OA(4180, 16426, F4, 33) (dual of [16426, 16246, 34]-code) [i]✔
28Linear OA(4181, 16430, F4, 33) (dual of [16430, 16249, 34]-code) [i]✔
29Linear OA(4178, 16428, F4, 32) (dual of [16428, 16250, 33]-code) [i]✔
30Linear OA(4235, 16447, F4, 42) (dual of [16447, 16212, 43]-code) [i]✔
31Linear OA(4236, 16451, F4, 42) (dual of [16451, 16215, 43]-code) [i]✔
32Linear OA(4188, 16450, F4, 33) (dual of [16450, 16262, 34]-code) [i]✔
33Linear OA(4203, 16412, F4, 38) (dual of [16412, 16209, 39]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
34Linear OA(4194, 16403, F4, 37) (dual of [16403, 16209, 38]-code) [i]✔
35Linear OA(4192, 16401, F4, 36) (dual of [16401, 16209, 37]-code) [i]✔
36Linear OA(4199, 16417, F4, 37) (dual of [16417, 16218, 38]-code) [i]✔
37Linear OA(4198, 16415, F4, 37) (dual of [16415, 16217, 38]-code) [i]✔
38Linear OA(4197, 16413, F4, 37) (dual of [16413, 16216, 38]-code) [i]✔
39Linear OA(4187, 16404, F4, 35) (dual of [16404, 16217, 36]-code) [i]✔
40Linear OA(4178, 16394, F4, 34) (dual of [16394, 16216, 35]-code) [i]✔
41Linear OA(4171, 16394, F4, 33) (dual of [16394, 16223, 34]-code) [i]✔
42Linear OA(4173, 16403, F4, 33) (dual of [16403, 16230, 34]-code) [i]✔
43Linear OA(4171, 16401, F4, 32) (dual of [16401, 16230, 33]-code) [i]✔
44Linear OA(4178, 16417, F4, 33) (dual of [16417, 16239, 34]-code) [i]✔
45Linear OA(4177, 16415, F4, 33) (dual of [16415, 16238, 34]-code) [i]✔
46Linear OA(4176, 16413, F4, 33) (dual of [16413, 16237, 34]-code) [i]✔
47Linear OOA(4169, 8192, F4, 2, 33) (dual of [(8192, 2), 16215, 34]-NRT-code) [i]OOA Folding
48Linear OOA(4169, 5461, F4, 3, 33) (dual of [(5461, 3), 16214, 34]-NRT-code) [i]