Information on Result #679609

Linear OA(437, 4096, F4, 9) (dual of [4096, 4059, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9

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(443, 4102, F4, 10) (dual of [4102, 4059, 11]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(438, 4103, F4, 9) (dual of [4103, 4065, 10]-code) [i]✔
3Linear OA(438, 4109, F4, 8) (dual of [4109, 4071, 9]-code) [i]✔
4Linear OA(440, 4111, F4, 9) (dual of [4111, 4071, 10]-code) [i]✔
5Linear OA(459, 4113, F4, 13) (dual of [4113, 4054, 14]-code) [i]✔
6Linear OA(460, 4119, F4, 13) (dual of [4119, 4059, 14]-code) [i]✔
7Linear OA(458, 4117, F4, 12) (dual of [4117, 4059, 13]-code) [i]✔
8Linear OA(440, 4117, F4, 8) (dual of [4117, 4077, 9]-code) [i]✔
9Linear OA(468, 4127, F4, 14) (dual of [4127, 4059, 15]-code) [i]✔
10Linear OA(476, 4132, F4, 15) (dual of [4132, 4056, 16]-code) [i]✔
11Linear OA(475, 4129, F4, 15) (dual of [4129, 4054, 16]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(467, 4121, F4, 14) (dual of [4121, 4054, 15]-code) [i]✔
13Linear OA(462, 4122, F4, 13) (dual of [4122, 4060, 14]-code) [i]✔
14Linear OA(445, 4105, F4, 10) (dual of [4105, 4060, 11]-code) [i]✔
15Linear OA(439, 4105, F4, 9) (dual of [4105, 4066, 10]-code) [i]✔
16Linear OA(438, 4110, F4, 8) (dual of [4110, 4072, 9]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
17Linear OOA(437, 2048, F4, 2, 9) (dual of [(2048, 2), 4059, 10]-NRT-code) [i]OOA Folding
18Linear OOA(437, 1365, F4, 3, 9) (dual of [(1365, 3), 4058, 10]-NRT-code) [i]