Information on Result #679593

Linear OA(4109, 4096, F4, 25) (dual of [4096, 3987, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

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 OOA(4109, 2093, F4, 2, 25) (dual of [(2093, 2), 4077, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4109, 2093, F4, 3, 25) (dual of [(2093, 3), 6170, 26]-NRT-code) [i]
3Digital (84, 109, 2093)-net over F4 [i]
4Linear OA(4115, 4102, F4, 26) (dual of [4102, 3987, 27]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(4110, 4103, F4, 25) (dual of [4103, 3993, 26]-code) [i]✔
6Linear OA(4110, 4109, F4, 24) (dual of [4109, 3999, 25]-code) [i]✔
7Linear OA(4112, 4111, F4, 25) (dual of [4111, 3999, 26]-code) [i]✔
8Linear OA(4131, 4113, F4, 29) (dual of [4113, 3982, 30]-code) [i]✔
9Linear OA(4132, 4119, F4, 29) (dual of [4119, 3987, 30]-code) [i]✔
10Linear OA(4130, 4117, F4, 28) (dual of [4117, 3987, 29]-code) [i]✔
11Linear OA(4114, 4119, F4, 25) (dual of [4119, 4005, 26]-code) [i]✔
12Linear OA(4112, 4117, F4, 24) (dual of [4117, 4005, 25]-code) [i]✔
13Linear OA(4140, 4127, F4, 30) (dual of [4127, 3987, 31]-code) [i]✔
14Linear OA(4149, 4136, F4, 31) (dual of [4136, 3987, 32]-code) [i]✔
15Linear OA(4122, 4139, F4, 25) (dual of [4139, 4017, 26]-code) [i]✔
16Linear OA(4119, 4136, F4, 24) (dual of [4136, 4017, 25]-code) [i]✔
17Linear OA(4169, 4156, F4, 34) (dual of [4156, 3987, 35]-code) [i]✔
18Linear OA(4148, 4132, F4, 31) (dual of [4132, 3984, 32]-code) [i]✔
19Linear OA(4118, 4132, F4, 24) (dual of [4132, 4014, 25]-code) [i]✔
20Linear OA(4187, 4170, F4, 36) (dual of [4170, 3983, 37]-code) [i]✔
21Linear OA(4147, 4129, F4, 31) (dual of [4129, 3982, 32]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
22Linear OA(4139, 4121, F4, 30) (dual of [4121, 3982, 31]-code) [i]✔
23Linear OA(4142, 4130, F4, 30) (dual of [4130, 3988, 31]-code) [i]✔
24Linear OA(4129, 4111, F4, 28) (dual of [4111, 3982, 29]-code) [i]✔
25Linear OA(4136, 4126, F4, 29) (dual of [4126, 3990, 30]-code) [i]✔
26Linear OA(4135, 4124, F4, 29) (dual of [4124, 3989, 30]-code) [i]✔
27Linear OA(4134, 4122, F4, 29) (dual of [4122, 3988, 30]-code) [i]✔
28Linear OA(4125, 4114, F4, 27) (dual of [4114, 3989, 28]-code) [i]✔
29Linear OA(4117, 4105, F4, 26) (dual of [4105, 3988, 27]-code) [i]✔
30Linear OA(4111, 4105, F4, 25) (dual of [4105, 3994, 26]-code) [i]✔
31Linear OA(4111, 4111, F4, 24) (dual of [4111, 4000, 25]-code) [i]✔
32Linear OA(4118, 4126, F4, 25) (dual of [4126, 4008, 26]-code) [i]✔
33Linear OA(4117, 4124, F4, 25) (dual of [4124, 4007, 26]-code) [i]✔
34Linear OA(4116, 4122, F4, 25) (dual of [4122, 4006, 26]-code) [i]✔
35Linear OOA(4109, 2048, F4, 2, 25) (dual of [(2048, 2), 3987, 26]-NRT-code) [i]OOA Folding
36Linear OOA(4109, 1365, F4, 3, 25) (dual of [(1365, 3), 3986, 26]-NRT-code) [i]