Information on Result #613065

Linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34

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(4218, 65554, F4, 34) (dual of [65554, 65336, 35]-code) [i](u, u+v)-Construction
2Linear OA(4222, 65559, F4, 34) (dual of [65559, 65337, 35]-code) [i]
3Linear OA(4223, 65561, F4, 34) (dual of [65561, 65338, 35]-code) [i]
4Linear OA(4224, 65563, F4, 34) (dual of [65563, 65339, 35]-code) [i]
5Linear OA(4224, 65560, F4, 34) (dual of [65560, 65336, 35]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(4209, 65544, F4, 35) (dual of [65544, 65335, 36]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(4201, 65544, F4, 34) (dual of [65544, 65343, 35]-code) [i]✔
8Linear OA(4218, 65553, F4, 36) (dual of [65553, 65335, 37]-code) [i]✔
9Linear OA(4220, 65555, F4, 37) (dual of [65555, 65335, 38]-code) [i]✔
10Linear OA(4204, 65555, F4, 34) (dual of [65555, 65351, 35]-code) [i]✔
11Linear OA(4230, 65565, F4, 38) (dual of [65565, 65335, 39]-code) [i]✔
12Linear OA(4206, 65565, F4, 34) (dual of [65565, 65359, 35]-code) [i]✔
13Linear OA(4240, 65575, F4, 39) (dual of [65575, 65335, 40]-code) [i]✔
14Linear OA(4208, 65575, F4, 34) (dual of [65575, 65367, 35]-code) [i]✔
15Linear OA(4254, 65589, F4, 41) (dual of [65589, 65335, 42]-code) [i]✔
16Linear OA(4251, 65586, F4, 40) (dual of [65586, 65335, 41]-code) [i]✔
17Linear OA(4214, 65589, F4, 34) (dual of [65589, 65375, 35]-code) [i]✔
18Linear OA(4217, 65600, F4, 34) (dual of [65600, 65383, 35]-code) [i]✔
19Linear OA(4222, 65613, F4, 34) (dual of [65613, 65391, 35]-code) [i]✔
20Linear OA(4220, 65605, F4, 34) (dual of [65605, 65385, 35]-code) [i]✔
21Linear OA(4221, 65609, F4, 34) (dual of [65609, 65388, 35]-code) [i]✔
22Linear OA(4253, 65582, F4, 41) (dual of [65582, 65329, 42]-code) [i]✔
23Linear OA(4250, 65585, F4, 40) (dual of [65585, 65335, 41]-code) [i]✔
24Linear OA(4215, 65598, F4, 34) (dual of [65598, 65383, 35]-code) [i]✔
25Linear OA(4219, 65604, F4, 34) (dual of [65604, 65385, 35]-code) [i]✔
26Linear OA(4220, 65611, F4, 34) (dual of [65611, 65391, 35]-code) [i]✔
27Linear OA(4224, 65621, F4, 34) (dual of [65621, 65397, 35]-code) [i]✔
28Linear OA(4225, 65624, F4, 34) (dual of [65624, 65399, 35]-code) [i]✔
29Linear OA(4239, 65567, F4, 39) (dual of [65567, 65328, 40]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
30Linear OA(4229, 65557, F4, 38) (dual of [65557, 65328, 39]-code) [i]✔
31Linear OA(4231, 65567, F4, 38) (dual of [65567, 65336, 39]-code) [i]✔
32Linear OA(4219, 65547, F4, 37) (dual of [65547, 65328, 38]-code) [i]✔
33Linear OA(4221, 65557, F4, 37) (dual of [65557, 65336, 38]-code) [i]✔
34Linear OA(4219, 65555, F4, 36) (dual of [65555, 65336, 37]-code) [i]✔
35Linear OA(4203, 65547, F4, 34) (dual of [65547, 65344, 35]-code) [i]✔
36Linear OA(4205, 65557, F4, 34) (dual of [65557, 65352, 35]-code) [i]✔
37Linear OA(4207, 65567, F4, 34) (dual of [65567, 65360, 35]-code) [i]✔
38Linear OOA(4201, 3855, F4, 34, 34) (dual of [(3855, 34), 130869, 35]-NRT-code) [i]OA Folding and Stacking