Information on Result #616427

Linear OA(1673, 4096, F16, 26) (dual of [4096, 4023, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26

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(1686, 4113, F16, 26) (dual of [4113, 4027, 27]-code) [i](u, u+v)-Construction
2Linear OA(1687, 4120, F16, 26) (dual of [4120, 4033, 27]-code) [i]
3Linear OA(1688, 4129, F16, 26) (dual of [4129, 4041, 27]-code) [i]
4Linear OA(1689, 4134, F16, 26) (dual of [4134, 4045, 27]-code) [i]
5Linear OA(1690, 4141, F16, 26) (dual of [4141, 4051, 27]-code) [i]
6Linear OA(1691, 4145, F16, 26) (dual of [4145, 4054, 27]-code) [i]
7Linear OA(1692, 4161, F16, 26) (dual of [4161, 4069, 27]-code) [i]
8Linear OA(1693, 4163, F16, 26) (dual of [4163, 4070, 27]-code) [i]
9Linear OA(1693, 4117, F16, 26) (dual of [4117, 4024, 27]-code) [i]Generalized (u, u+v)-Construction
10Linear OOA(1673, 2665, F16, 2, 26) (dual of [(2665, 2), 5257, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
11Digital (47, 73, 2665)-net over F16 [i]
12Linear OA(1690, 4114, F16, 26) (dual of [4114, 4024, 27]-code) [i](u, u−v, u+v+w)-Construction
13Linear OA(1691, 4116, F16, 26) (dual of [4116, 4025, 27]-code) [i]
14Linear OA(1692, 4118, F16, 26) (dual of [4118, 4026, 27]-code) [i]
15Linear OA(1693, 4120, F16, 26) (dual of [4120, 4027, 27]-code) [i]
16Linear OA(1676, 4099, F16, 27) (dual of [4099, 4023, 28]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
17Linear OA(1673, 4099, F16, 26) (dual of [4099, 4026, 27]-code) [i]✔
18Linear OA(1680, 4103, F16, 28) (dual of [4103, 4023, 29]-code) [i]✔
19Linear OA(1674, 4103, F16, 26) (dual of [4103, 4029, 27]-code) [i]✔
20Linear OA(1684, 4107, F16, 29) (dual of [4107, 4023, 30]-code) [i]✔
21Linear OA(1675, 4107, F16, 26) (dual of [4107, 4032, 27]-code) [i]✔
22Linear OA(1688, 4111, F16, 30) (dual of [4111, 4023, 31]-code) [i]✔
23Linear OA(1676, 4111, F16, 26) (dual of [4111, 4035, 27]-code) [i]✔
24Linear OA(1692, 4113, F16, 31) (dual of [4113, 4021, 32]-code) [i]✔
25Linear OA(1693, 4116, F16, 31) (dual of [4116, 4023, 32]-code) [i]✔
26Linear OA(1677, 4113, F16, 26) (dual of [4113, 4036, 27]-code) [i]✔
27Linear OA(1678, 4116, F16, 26) (dual of [4116, 4038, 27]-code) [i]✔
28Linear OA(1698, 4120, F16, 33) (dual of [4120, 4022, 34]-code) [i]✔
29Linear OA(1699, 4122, F16, 33) (dual of [4122, 4023, 34]-code) [i]✔
30Linear OA(1697, 4120, F16, 32) (dual of [4120, 4023, 33]-code) [i]✔
31Linear OA(1679, 4120, F16, 26) (dual of [4120, 4041, 27]-code) [i]✔
32Linear OA(16103, 4126, F16, 34) (dual of [4126, 4023, 35]-code) [i]✔
33Linear OA(1681, 4125, F16, 26) (dual of [4125, 4044, 27]-code) [i]✔
34Linear OA(16107, 4129, F16, 35) (dual of [4129, 4022, 36]-code) [i]✔
35Linear OA(16108, 4131, F16, 35) (dual of [4131, 4023, 36]-code) [i]✔
36Linear OA(1682, 4129, F16, 26) (dual of [4129, 4047, 27]-code) [i]✔
37Linear OA(16112, 4134, F16, 36) (dual of [4134, 4022, 37]-code) [i]✔
38Linear OA(16113, 4136, F16, 36) (dual of [4136, 4023, 37]-code) [i]✔
39Linear OA(1684, 4134, F16, 26) (dual of [4134, 4050, 27]-code) [i]✔
40Linear OA(16117, 4140, F16, 37) (dual of [4140, 4023, 38]-code) [i]✔
41Linear OA(1687, 4140, F16, 26) (dual of [4140, 4053, 27]-code) [i]✔
42Linear OA(16122, 4145, F16, 38) (dual of [4145, 4023, 39]-code) [i]✔
43Linear OA(1689, 4145, F16, 26) (dual of [4145, 4056, 27]-code) [i]✔
44Linear OA(16127, 4150, F16, 39) (dual of [4150, 4023, 40]-code) [i]✔
45Linear OA(1691, 4150, F16, 26) (dual of [4150, 4059, 27]-code) [i]✔