Information on Result #616283

Linear OA(1637, 4097, F16, 13) (dual of [4097, 4060, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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 OA(1643, 4114, F16, 13) (dual of [4114, 4071, 14]-code) [i](u, u+v)-Construction
2Linear OA(1644, 4121, F16, 13) (dual of [4121, 4077, 14]-code) [i]
3Linear OA(1645, 4130, F16, 13) (dual of [4130, 4085, 14]-code) [i]
4Linear OA(1646, 4135, F16, 13) (dual of [4135, 4089, 14]-code) [i]
5Linear OA(1647, 4182, F16, 13) (dual of [4182, 4135, 14]-code) [i]
6Linear OA(1647, 4131, F16, 13) (dual of [4131, 4084, 14]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(1643, 4104, F16, 13) (dual of [4104, 4061, 14]-code) [i]✔Construction X with Cyclic Codes
8Linear OA(1644, 4104, F16, 15) (dual of [4104, 4060, 16]-code) [i]✔
9Linear OA(1638, 4104, F16, 13) (dual of [4104, 4066, 14]-code) [i]✔
10Linear OA(1652, 4112, F16, 17) (dual of [4112, 4060, 18]-code) [i]✔
11Linear OA(1640, 4112, F16, 13) (dual of [4112, 4072, 14]-code) [i]✔
12Linear OA(1661, 4121, F16, 19) (dual of [4121, 4060, 20]-code) [i]✔
13Linear OA(1643, 4121, F16, 13) (dual of [4121, 4078, 14]-code) [i]✔
14Linear OA(1670, 4130, F16, 21) (dual of [4130, 4060, 22]-code) [i]✔
15Linear OA(1660, 4115, F16, 19) (dual of [4115, 4055, 20]-code) [i]✔Construction XX with a Chain of Cyclic Codes
16Linear OA(1654, 4115, F16, 17) (dual of [4115, 4061, 18]-code) [i]✔
17Linear OA(1642, 4115, F16, 13) (dual of [4115, 4073, 14]-code) [i]✔