Information on Result #691874

Linear OA(1649, 4097, F16, 17) (dual of [4097, 4048, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(1649, 3047, F16, 2, 17) (dual of [(3047, 2), 6045, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (32, 49, 3047)-net over F16 [i]
3Linear OA(1656, 4104, F16, 19) (dual of [4104, 4048, 20]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(1650, 4104, F16, 17) (dual of [4104, 4054, 18]-code) [i]✔
5Linear OA(1664, 4112, F16, 21) (dual of [4112, 4048, 22]-code) [i]✔
6Linear OA(1652, 4112, F16, 17) (dual of [4112, 4060, 18]-code) [i]✔
7Linear OA(1673, 4121, F16, 23) (dual of [4121, 4048, 24]-code) [i]✔
8Linear OA(1671, 4114, F16, 22) (dual of [4114, 4043, 23]-code) [i]✔
9Linear OA(1655, 4121, F16, 17) (dual of [4121, 4066, 18]-code) [i]✔
10Linear OA(1653, 4114, F16, 16) (dual of [4114, 4061, 17]-code) [i]✔
11Linear OA(1682, 4130, F16, 25) (dual of [4130, 4048, 26]-code) [i]✔
12Linear OA(1691, 4135, F16, 27) (dual of [4135, 4044, 28]-code) [i]✔
13Linear OA(1692, 4140, F16, 27) (dual of [4140, 4048, 28]-code) [i]✔
14Linear OA(16101, 4146, F16, 29) (dual of [4146, 4045, 30]-code) [i]✔
15Linear OA(16112, 4160, F16, 33) (dual of [4160, 4048, 34]-code) [i]✔
16Linear OA(1680, 4123, F16, 24) (dual of [4123, 4043, 25]-code) [i]✔Construction XX with a Chain of Cyclic Codes
17Linear OA(1672, 4115, F16, 23) (dual of [4115, 4043, 24]-code) [i]✔
18Linear OA(1666, 4115, F16, 21) (dual of [4115, 4049, 22]-code) [i]✔
19Linear OA(1654, 4115, F16, 17) (dual of [4115, 4061, 18]-code) [i]✔