Information on Result #679400

Linear OA(4169, 4097, F4, 37) (dual of [4097, 3928, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound)

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 OOA(4169, 3570, F4, 2, 37) (dual of [(3570, 2), 6971, 38]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4169, 3570, F4, 3, 37) (dual of [(3570, 3), 10541, 38]-NRT-code) [i]
3Digital (132, 169, 3570)-net over F4 [i]
4Linear OA(4182, 4110, F4, 39) (dual of [4110, 3928, 40]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(4184, 4103, F4, 41) (dual of [4103, 3919, 42]-code) [i]✔
6Linear OA(4185, 4113, F4, 41) (dual of [4113, 3928, 42]-code) [i]✔
7Linear OA(4170, 4110, F4, 37) (dual of [4110, 3940, 38]-code) [i]✔
8Linear OA(4202, 4121, F4, 43) (dual of [4121, 3919, 44]-code) [i]✔
9Linear OA(4203, 4131, F4, 43) (dual of [4131, 3928, 44]-code) [i]✔
10Linear OA(4199, 4118, F4, 42) (dual of [4118, 3919, 43]-code) [i]✔
11Linear OA(4200, 4128, F4, 42) (dual of [4128, 3928, 43]-code) [i]✔
12Linear OA(4173, 4114, F4, 37) (dual of [4114, 3941, 38]-code) [i]✔
13Linear OA(4174, 4126, F4, 37) (dual of [4126, 3952, 38]-code) [i]✔
14Linear OA(4172, 4118, F4, 36) (dual of [4118, 3946, 37]-code) [i]✔
15Linear OA(4220, 4140, F4, 45) (dual of [4140, 3920, 46]-code) [i]✔
16Linear OA(4221, 4149, F4, 45) (dual of [4149, 3928, 46]-code) [i]✔
17Linear OA(4218, 4146, F4, 44) (dual of [4146, 3928, 45]-code) [i]✔
18Linear OA(4184, 4140, F4, 37) (dual of [4140, 3956, 38]-code) [i]✔
19Linear OA(4185, 4149, F4, 37) (dual of [4149, 3964, 38]-code) [i]✔
20Linear OA(4182, 4146, F4, 36) (dual of [4146, 3964, 37]-code) [i]✔
21Linear OA(4242, 4162, F4, 49) (dual of [4162, 3920, 50]-code) [i]✔
22Linear OA(4245, 4173, F4, 49) (dual of [4173, 3928, 50]-code) [i]✔
23Linear OA(4239, 4161, F4, 48) (dual of [4161, 3922, 49]-code) [i]✔
24Linear OA(4243, 4171, F4, 48) (dual of [4171, 3928, 49]-code) [i]✔
25Linear OA(4236, 4162, F4, 47) (dual of [4162, 3926, 48]-code) [i]✔
26Linear OA(4239, 4167, F4, 47) (dual of [4167, 3928, 48]-code) [i]✔
27Linear OA(4188, 4162, F4, 37) (dual of [4162, 3974, 38]-code) [i]✔
28Linear OA(4242, 4166, F4, 49) (dual of [4166, 3924, 50]-code) [i]✔
29Linear OA(4241, 4169, F4, 48) (dual of [4169, 3928, 49]-code) [i]✔