Information on Result #691866

Linear OA(1673, 4097, F16, 25) (dual of [4097, 4024, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(1673, 3685, F16, 2, 25) (dual of [(3685, 2), 7297, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (48, 73, 3685)-net over F16 [i]
3Linear OA(1680, 4104, F16, 27) (dual of [4104, 4024, 28]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(1674, 4104, F16, 25) (dual of [4104, 4030, 26]-code) [i]✔
5Linear OA(1688, 4112, F16, 29) (dual of [4112, 4024, 30]-code) [i]✔
6Linear OA(1676, 4112, F16, 25) (dual of [4112, 4036, 26]-code) [i]✔
7Linear OA(1699, 4121, F16, 33) (dual of [4121, 4022, 34]-code) [i]✔
8Linear OA(16100, 4124, F16, 33) (dual of [4124, 4024, 34]-code) [i]✔
9Linear OA(1698, 4121, F16, 32) (dual of [4121, 4023, 33]-code) [i]✔
10Linear OA(1697, 4121, F16, 31) (dual of [4121, 4024, 32]-code) [i]✔
11Linear OA(1695, 4114, F16, 30) (dual of [4114, 4019, 31]-code) [i]✔
12Linear OA(1679, 4121, F16, 25) (dual of [4121, 4042, 26]-code) [i]✔
13Linear OA(1677, 4114, F16, 24) (dual of [4114, 4037, 25]-code) [i]✔
14Linear OA(16108, 4130, F16, 35) (dual of [4130, 4022, 36]-code) [i]✔
15Linear OA(16109, 4133, F16, 35) (dual of [4133, 4024, 36]-code) [i]✔
16Linear OA(16107, 4130, F16, 34) (dual of [4130, 4023, 35]-code) [i]✔
17Linear OA(1682, 4130, F16, 25) (dual of [4130, 4048, 26]-code) [i]✔
18Linear OA(16118, 4142, F16, 37) (dual of [4142, 4024, 38]-code) [i]✔
19Linear OA(16116, 4135, F16, 36) (dual of [4135, 4019, 37]-code) [i]✔
20Linear OA(1685, 4135, F16, 25) (dual of [4135, 4050, 26]-code) [i]✔
21Linear OA(16127, 4146, F16, 39) (dual of [4146, 4019, 40]-code) [i]✔
22Linear OA(16128, 4152, F16, 39) (dual of [4152, 4024, 40]-code) [i]✔
23Linear OA(16126, 4146, F16, 38) (dual of [4146, 4020, 39]-code) [i]✔
24Linear OA(1697, 4116, F16, 32) (dual of [4116, 4019, 33]-code) [i]✔Construction XX with a Chain of Cyclic Codes
25Linear OA(1698, 4123, F16, 30) (dual of [4123, 4025, 31]-code) [i]✔
26Linear OA(1690, 4115, F16, 29) (dual of [4115, 4025, 30]-code) [i]✔
27Linear OA(1678, 4115, F16, 25) (dual of [4115, 4037, 26]-code) [i]✔
28Linear OA(1680, 4123, F16, 24) (dual of [4123, 4043, 25]-code) [i]✔