Information on Result #691864

Linear OA(1679, 4097, F16, 27) (dual of [4097, 4018, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(1679, 3863, F16, 2, 27) (dual of [(3863, 2), 7647, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (52, 79, 3863)-net over F16 [i]
3Linear OA(1686, 4104, F16, 29) (dual of [4104, 4018, 30]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(1680, 4104, F16, 27) (dual of [4104, 4024, 28]-code) [i]✔
5Linear OA(1696, 4114, F16, 33) (dual of [4114, 4018, 34]-code) [i]✔
6Linear OA(1682, 4112, F16, 27) (dual of [4112, 4030, 28]-code) [i]✔
7Linear OA(16105, 4121, F16, 35) (dual of [4121, 4016, 36]-code) [i]✔
8Linear OA(16106, 4124, F16, 35) (dual of [4124, 4018, 36]-code) [i]✔
9Linear OA(16104, 4121, F16, 34) (dual of [4121, 4017, 35]-code) [i]✔
10Linear OA(1685, 4121, F16, 27) (dual of [4121, 4036, 28]-code) [i]✔
11Linear OA(1683, 4114, F16, 26) (dual of [4114, 4031, 27]-code) [i]✔
12Linear OA(16114, 4130, F16, 37) (dual of [4130, 4016, 38]-code) [i]✔
13Linear OA(16115, 4133, F16, 37) (dual of [4133, 4018, 38]-code) [i]✔
14Linear OA(16113, 4130, F16, 36) (dual of [4130, 4017, 37]-code) [i]✔
15Linear OA(1688, 4130, F16, 27) (dual of [4130, 4042, 28]-code) [i]✔
16Linear OA(16124, 4142, F16, 39) (dual of [4142, 4018, 40]-code) [i]✔
17Linear OA(16122, 4135, F16, 38) (dual of [4135, 4013, 39]-code) [i]✔
18Linear OA(1691, 4135, F16, 27) (dual of [4135, 4044, 28]-code) [i]✔
19Linear OA(1692, 4140, F16, 27) (dual of [4140, 4048, 28]-code) [i]✔
20Linear OA(16103, 4116, F16, 34) (dual of [4116, 4013, 35]-code) [i]✔Construction XX with a Chain of Cyclic Codes
21Linear OA(1697, 4116, F16, 32) (dual of [4116, 4019, 33]-code) [i]✔
22Linear OA(1684, 4115, F16, 27) (dual of [4115, 4031, 28]-code) [i]✔
23Linear OA(1686, 4123, F16, 26) (dual of [4123, 4037, 27]-code) [i]✔