Information on Result #616299

Linear OA(1640, 4096, F16, 14) (dual of [4096, 4056, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14

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(1647, 4113, F16, 14) (dual of [4113, 4066, 15]-code) [i](u, u+v)-Construction
2Linear OA(1648, 4120, F16, 14) (dual of [4120, 4072, 15]-code) [i]
3Linear OA(1649, 4129, F16, 14) (dual of [4129, 4080, 15]-code) [i]
4Linear OA(1650, 4134, F16, 14) (dual of [4134, 4084, 15]-code) [i]
5Linear OA(1651, 4147, F16, 14) (dual of [4147, 4096, 15]-code) [i]
6Linear OA(1651, 4108, F16, 14) (dual of [4108, 4057, 15]-code) [i]Generalized (u, u+v)-Construction
7Linear OOA(1640, 2883, F16, 2, 14) (dual of [(2883, 2), 5726, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
8Digital (26, 40, 2883)-net over F16 [i]
9Linear OA(1649, 4106, F16, 14) (dual of [4106, 4057, 15]-code) [i](u, u−v, u+v+w)-Construction
10Linear OA(1650, 4108, F16, 14) (dual of [4108, 4058, 15]-code) [i]
11Linear OA(1651, 4130, F16, 14) (dual of [4130, 4079, 15]-code) [i]
12Linear OA(1643, 4099, F16, 15) (dual of [4099, 4056, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
13Linear OA(1640, 4099, F16, 14) (dual of [4099, 4059, 15]-code) [i]✔
14Linear OA(1648, 4104, F16, 17) (dual of [4104, 4056, 18]-code) [i]✔
15Linear OA(1641, 4103, F16, 14) (dual of [4103, 4062, 15]-code) [i]✔
16Linear OA(1652, 4108, F16, 18) (dual of [4108, 4056, 19]-code) [i]✔
17Linear OA(1642, 4107, F16, 14) (dual of [4107, 4065, 15]-code) [i]✔
18Linear OA(1656, 4112, F16, 19) (dual of [4112, 4056, 20]-code) [i]✔
19Linear OA(1643, 4111, F16, 14) (dual of [4111, 4068, 15]-code) [i]✔
20Linear OA(1661, 4117, F16, 20) (dual of [4117, 4056, 21]-code) [i]✔
21Linear OA(1644, 4113, F16, 14) (dual of [4113, 4069, 15]-code) [i]✔
22Linear OA(1645, 4116, F16, 14) (dual of [4116, 4071, 15]-code) [i]✔
23Linear OA(1665, 4120, F16, 21) (dual of [4120, 4055, 22]-code) [i]✔
24Linear OA(1666, 4122, F16, 21) (dual of [4122, 4056, 22]-code) [i]✔
25Linear OA(1646, 4120, F16, 14) (dual of [4120, 4074, 15]-code) [i]✔
26Linear OA(1670, 4126, F16, 22) (dual of [4126, 4056, 23]-code) [i]✔
27Linear OA(1648, 4125, F16, 14) (dual of [4125, 4077, 15]-code) [i]✔
28Linear OA(1674, 4129, F16, 23) (dual of [4129, 4055, 24]-code) [i]✔
29Linear OA(1675, 4131, F16, 23) (dual of [4131, 4056, 24]-code) [i]✔
30Linear OA(1679, 4134, F16, 24) (dual of [4134, 4055, 25]-code) [i]✔
31Linear OA(1680, 4136, F16, 24) (dual of [4136, 4056, 25]-code) [i]✔
32Linear OA(1684, 4140, F16, 25) (dual of [4140, 4056, 26]-code) [i]✔
33Linear OA(1689, 4145, F16, 26) (dual of [4145, 4056, 27]-code) [i]✔
34Linear OA(1694, 4150, F16, 27) (dual of [4150, 4056, 28]-code) [i]✔
35Linear OA(1698, 4154, F16, 28) (dual of [4154, 4056, 29]-code) [i]✔
36Linear OA(1660, 4114, F16, 20) (dual of [4114, 4054, 21]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
37Linear OA(1657, 4114, F16, 19) (dual of [4114, 4057, 20]-code) [i]✔
38Linear OOA(1640, 585, F16, 14, 14) (dual of [(585, 14), 8150, 15]-NRT-code) [i]OA Folding and Stacking