Information on Result #612890

Linear OA(4103, 4096, F4, 23) (dual of [4096, 3993, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(4114, 4108, F4, 23) (dual of [4108, 3994, 24]-code) [i](u, u+v)-Construction
2Linear OA(4116, 4113, F4, 23) (dual of [4113, 3997, 24]-code) [i]
3Linear OA(4118, 4126, F4, 23) (dual of [4126, 4008, 24]-code) [i]
4Linear OOA(4103, 2414, F4, 2, 23) (dual of [(2414, 2), 4725, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4103, 2414, F4, 3, 23) (dual of [(2414, 3), 7139, 24]-NRT-code) [i]
6Digital (80, 103, 2414)-net over F4 [i]
7Linear OA(4118, 4112, F4, 23) (dual of [4112, 3994, 24]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(4110, 4103, F4, 25) (dual of [4103, 3993, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
9Linear OA(4103, 4102, F4, 23) (dual of [4102, 3999, 24]-code) [i]✔
10Linear OA(4118, 4111, F4, 26) (dual of [4111, 3993, 27]-code) [i]✔
11Linear OA(4104, 4109, F4, 23) (dual of [4109, 4005, 24]-code) [i]✔
12Linear OA(4126, 4119, F4, 27) (dual of [4119, 3993, 28]-code) [i]✔
13Linear OA(4107, 4113, F4, 23) (dual of [4113, 4006, 24]-code) [i]✔
14Linear OA(4108, 4119, F4, 23) (dual of [4119, 4011, 24]-code) [i]✔
15Linear OA(4137, 4130, F4, 29) (dual of [4130, 3993, 30]-code) [i]✔
16Linear OA(4134, 4127, F4, 28) (dual of [4127, 3993, 29]-code) [i]✔
17Linear OA(4110, 4127, F4, 23) (dual of [4127, 4017, 24]-code) [i]✔
18Linear OA(4146, 4139, F4, 30) (dual of [4139, 3993, 31]-code) [i]✔
19Linear OA(4113, 4136, F4, 23) (dual of [4136, 4023, 24]-code) [i]✔
20Linear OA(4155, 4148, F4, 31) (dual of [4148, 3993, 32]-code) [i]✔
21Linear OA(4164, 4157, F4, 33) (dual of [4157, 3993, 34]-code) [i]✔
22Linear OA(4136, 4129, F4, 29) (dual of [4129, 3993, 30]-code) [i]✔
23Linear OA(4112, 4132, F4, 23) (dual of [4132, 4020, 24]-code) [i]✔
24Linear OA(4173, 4163, F4, 34) (dual of [4163, 3990, 35]-code) [i]✔
25Linear OA(4174, 4166, F4, 34) (dual of [4166, 3992, 35]-code) [i]✔
26Linear OA(4142, 4130, F4, 30) (dual of [4130, 3988, 31]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
27Linear OA(4136, 4126, F4, 29) (dual of [4126, 3990, 30]-code) [i]✔
28Linear OA(4135, 4124, F4, 29) (dual of [4124, 3989, 30]-code) [i]✔
29Linear OA(4134, 4122, F4, 29) (dual of [4122, 3988, 30]-code) [i]✔
30Linear OA(4135, 4129, F4, 28) (dual of [4129, 3994, 29]-code) [i]✔
31Linear OA(4125, 4114, F4, 27) (dual of [4114, 3989, 28]-code) [i]✔
32Linear OA(4127, 4121, F4, 27) (dual of [4121, 3994, 28]-code) [i]✔
33Linear OA(4117, 4105, F4, 26) (dual of [4105, 3988, 27]-code) [i]✔
34Linear OA(4111, 4105, F4, 25) (dual of [4105, 3994, 26]-code) [i]✔
35Linear OA(4107, 4114, F4, 23) (dual of [4114, 4007, 24]-code) [i]✔
36Linear OA(4106, 4112, F4, 23) (dual of [4112, 4006, 24]-code) [i]✔
37Linear OA(4109, 4121, F4, 23) (dual of [4121, 4012, 24]-code) [i]✔
38Linear OA(4111, 4129, F4, 23) (dual of [4129, 4018, 24]-code) [i]✔