Information on Result #616517

Linear OA(16103, 4097, F16, 37) (dual of [4097, 3994, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, 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 OA(16122, 4121, F16, 37) (dual of [4121, 3999, 38]-code) [i](u, u+v)-Construction
2Linear OA(16123, 4130, F16, 37) (dual of [4130, 4007, 38]-code) [i]
3Linear OA(16124, 4135, F16, 37) (dual of [4135, 4011, 38]-code) [i]
4Linear OA(16125, 4142, F16, 37) (dual of [4142, 4017, 38]-code) [i]
5Linear OA(16126, 4146, F16, 37) (dual of [4146, 4020, 38]-code) [i]
6Linear OA(16127, 4162, F16, 37) (dual of [4162, 4035, 38]-code) [i]
7Linear OA(16128, 4164, F16, 37) (dual of [4164, 4036, 38]-code) [i]
8Linear OA(16129, 4166, F16, 37) (dual of [4166, 4037, 38]-code) [i]
9Linear OA(16130, 4168, F16, 37) (dual of [4168, 4038, 38]-code) [i]
10Linear OA(16129, 4125, F16, 37) (dual of [4125, 3996, 38]-code) [i](u, u−v, u+v+w)-Construction
11Linear OA(16130, 4127, F16, 37) (dual of [4127, 3997, 38]-code) [i]
12Linear OA(16121, 4116, F16, 37) (dual of [4116, 3995, 38]-code) [i]✔Construction X with Cyclic Codes
13Linear OA(16110, 4104, F16, 39) (dual of [4104, 3994, 40]-code) [i]✔
14Linear OA(16104, 4104, F16, 37) (dual of [4104, 4000, 38]-code) [i]✔
15Linear OA(16118, 4112, F16, 41) (dual of [4112, 3994, 42]-code) [i]✔
16Linear OA(16106, 4112, F16, 37) (dual of [4112, 4006, 38]-code) [i]✔
17Linear OA(16127, 4121, F16, 43) (dual of [4121, 3994, 44]-code) [i]✔
18Linear OA(16125, 4114, F16, 42) (dual of [4114, 3989, 43]-code) [i]✔
19Linear OA(16111, 4121, F16, 37) (dual of [4121, 4010, 38]-code) [i]✔
20Linear OA(16112, 4124, F16, 37) (dual of [4124, 4012, 38]-code) [i]✔
21Linear OA(16110, 4121, F16, 36) (dual of [4121, 4011, 37]-code) [i]✔
22Linear OA(16114, 4130, F16, 37) (dual of [4130, 4016, 38]-code) [i]✔
23Linear OA(16115, 4133, F16, 37) (dual of [4133, 4018, 38]-code) [i]✔
24Linear OA(16113, 4130, F16, 36) (dual of [4130, 4017, 37]-code) [i]✔
25Linear OA(16118, 4142, F16, 37) (dual of [4142, 4024, 38]-code) [i]✔
26Linear OA(16116, 4135, F16, 36) (dual of [4135, 4019, 37]-code) [i]✔
27Linear OA(16121, 4146, F16, 37) (dual of [4146, 4025, 38]-code) [i]✔
28Linear OA(16122, 4152, F16, 37) (dual of [4152, 4030, 38]-code) [i]✔
29Linear OA(16120, 4146, F16, 36) (dual of [4146, 4026, 37]-code) [i]✔
30Linear OA(16124, 4160, F16, 37) (dual of [4160, 4036, 38]-code) [i]✔
31Linear OA(16127, 4164, F16, 37) (dual of [4164, 4037, 38]-code) [i]✔
32Linear OA(16128, 4166, F16, 37) (dual of [4166, 4038, 38]-code) [i]✔
33Linear OA(16129, 4168, F16, 37) (dual of [4168, 4039, 38]-code) [i]✔
34Linear OA(16130, 4170, F16, 37) (dual of [4170, 4040, 38]-code) [i]✔
35Linear OA(16126, 4115, F16, 43) (dual of [4115, 3989, 44]-code) [i]✔Construction XX with a Chain of Cyclic Codes
36Linear OA(16128, 4123, F16, 42) (dual of [4123, 3995, 43]-code) [i]✔
37Linear OA(16120, 4115, F16, 41) (dual of [4115, 3995, 42]-code) [i]✔
38Linear OA(16110, 4117, F16, 37) (dual of [4117, 4007, 38]-code) [i]✔