Information on Result #612934

Linear OA(4153, 65536, F4, 26) (dual of [65536, 65383, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26

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(4166, 65550, F4, 26) (dual of [65550, 65384, 27]-code) [i](u, u+v)-Construction
2Linear OA(4169, 65555, F4, 26) (dual of [65555, 65386, 27]-code) [i]
3Linear OA(4170, 65557, F4, 26) (dual of [65557, 65387, 27]-code) [i]
4Linear OA(4170, 65554, F4, 26) (dual of [65554, 65384, 27]-code) [i](u, u−v, u+v+w)-Construction
5Linear OA(4161, 65544, F4, 27) (dual of [65544, 65383, 28]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(4153, 65544, F4, 26) (dual of [65544, 65391, 27]-code) [i]✔
7Linear OA(4170, 65553, F4, 28) (dual of [65553, 65383, 29]-code) [i]✔
8Linear OA(4172, 65555, F4, 29) (dual of [65555, 65383, 30]-code) [i]✔
9Linear OA(4156, 65555, F4, 26) (dual of [65555, 65399, 27]-code) [i]✔
10Linear OA(4182, 65565, F4, 30) (dual of [65565, 65383, 31]-code) [i]✔
11Linear OA(4158, 65565, F4, 26) (dual of [65565, 65407, 27]-code) [i]✔
12Linear OA(4192, 65575, F4, 31) (dual of [65575, 65383, 32]-code) [i]✔
13Linear OA(4160, 65575, F4, 26) (dual of [65575, 65415, 27]-code) [i]✔
14Linear OA(4206, 65589, F4, 33) (dual of [65589, 65383, 34]-code) [i]✔
15Linear OA(4203, 65586, F4, 32) (dual of [65586, 65383, 33]-code) [i]✔
16Linear OA(4166, 65589, F4, 26) (dual of [65589, 65423, 27]-code) [i]✔
17Linear OA(4217, 65600, F4, 34) (dual of [65600, 65383, 35]-code) [i]✔
18Linear OA(4169, 65600, F4, 26) (dual of [65600, 65431, 27]-code) [i]✔
19Linear OA(4230, 65613, F4, 35) (dual of [65613, 65383, 36]-code) [i]✔
20Linear OA(4243, 65621, F4, 37) (dual of [65621, 65378, 38]-code) [i]✔
21Linear OA(4239, 65621, F4, 36) (dual of [65621, 65382, 37]-code) [i]✔
22Linear OA(4242, 65625, F4, 36) (dual of [65625, 65383, 37]-code) [i]✔
23Linear OA(4228, 65605, F4, 35) (dual of [65605, 65377, 36]-code) [i]✔
24Linear OA(4229, 65609, F4, 35) (dual of [65609, 65380, 36]-code) [i]✔
25Linear OA(4243, 65625, F4, 37) (dual of [65625, 65382, 38]-code) [i]✔
26Linear OA(4240, 65623, F4, 36) (dual of [65623, 65383, 37]-code) [i]✔
27Linear OA(4205, 65582, F4, 33) (dual of [65582, 65377, 34]-code) [i]✔
28Linear OA(4202, 65585, F4, 32) (dual of [65585, 65383, 33]-code) [i]✔
29Linear OA(4215, 65598, F4, 34) (dual of [65598, 65383, 35]-code) [i]✔
30Linear OA(4167, 65598, F4, 26) (dual of [65598, 65431, 27]-code) [i]✔
31Linear OA(4228, 65611, F4, 35) (dual of [65611, 65383, 36]-code) [i]✔
32Linear OA(4171, 65604, F4, 26) (dual of [65604, 65433, 27]-code) [i]✔
33Linear OA(4240, 65621, F4, 37) (dual of [65621, 65381, 38]-code) [i]✔
34Linear OA(4241, 65624, F4, 37) (dual of [65624, 65383, 38]-code) [i]✔
35Linear OA(4238, 65621, F4, 36) (dual of [65621, 65383, 37]-code) [i]✔
36Linear OA(4252, 65629, F4, 38) (dual of [65629, 65377, 39]-code) [i]✔
37Linear OA(4191, 65567, F4, 31) (dual of [65567, 65376, 32]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
38Linear OA(4181, 65557, F4, 30) (dual of [65557, 65376, 31]-code) [i]✔
39Linear OA(4183, 65567, F4, 30) (dual of [65567, 65384, 31]-code) [i]✔
40Linear OA(4171, 65547, F4, 29) (dual of [65547, 65376, 30]-code) [i]✔
41Linear OA(4173, 65557, F4, 29) (dual of [65557, 65384, 30]-code) [i]✔
42Linear OA(4171, 65555, F4, 28) (dual of [65555, 65384, 29]-code) [i]✔
43Linear OA(4155, 65547, F4, 26) (dual of [65547, 65392, 27]-code) [i]✔
44Linear OA(4157, 65557, F4, 26) (dual of [65557, 65400, 27]-code) [i]✔
45Linear OA(4159, 65567, F4, 26) (dual of [65567, 65408, 27]-code) [i]✔
46Linear OOA(4153, 5041, F4, 26, 26) (dual of [(5041, 26), 130913, 27]-NRT-code) [i]OA Folding and Stacking