Information on Result #616541

Linear OA(16112, 4096, F16, 40) (dual of [4096, 3984, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40

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(16112, 3276, F16, 2, 40) (dual of [(3276, 2), 6440, 41]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (72, 112, 3276)-net over F16 [i]
3Linear OA(16115, 4099, F16, 41) (dual of [4099, 3984, 42]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(16112, 4099, F16, 40) (dual of [4099, 3987, 41]-code) [i]✔
5Linear OA(16119, 4103, F16, 42) (dual of [4103, 3984, 43]-code) [i]✔
6Linear OA(16113, 4103, F16, 40) (dual of [4103, 3990, 41]-code) [i]✔
7Linear OA(16123, 4107, F16, 43) (dual of [4107, 3984, 44]-code) [i]✔
8Linear OA(16114, 4107, F16, 40) (dual of [4107, 3993, 41]-code) [i]✔
9Linear OA(16127, 4111, F16, 44) (dual of [4111, 3984, 45]-code) [i]✔
10Linear OA(16115, 4111, F16, 40) (dual of [4111, 3996, 41]-code) [i]✔
11Linear OA(16116, 4113, F16, 40) (dual of [4113, 3997, 41]-code) [i]✔
12Linear OA(16117, 4116, F16, 40) (dual of [4116, 3999, 41]-code) [i]✔
13Linear OA(16118, 4120, F16, 40) (dual of [4120, 4002, 41]-code) [i]✔
14Linear OA(16120, 4125, F16, 40) (dual of [4125, 4005, 41]-code) [i]✔
15Linear OA(16122, 4129, F16, 40) (dual of [4129, 4007, 41]-code) [i]✔
16Linear OA(16123, 4131, F16, 40) (dual of [4131, 4008, 41]-code) [i]✔
17Linear OA(16124, 4134, F16, 40) (dual of [4134, 4010, 41]-code) [i]✔
18Linear OA(16125, 4136, F16, 40) (dual of [4136, 4011, 41]-code) [i]✔
19Linear OA(16126, 4140, F16, 40) (dual of [4140, 4014, 41]-code) [i]✔
20Linear OA(16128, 4145, F16, 40) (dual of [4145, 4017, 41]-code) [i]✔
21Linear OA(16130, 4150, F16, 40) (dual of [4150, 4020, 41]-code) [i]✔