Information on Result #616578

Linear OA(16124, 4096, F16, 44) (dual of [4096, 3972, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44

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(16124, 3677, F16, 2, 44) (dual of [(3677, 2), 7230, 45]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (80, 124, 3677)-net over F16 [i]
3Linear OA(16127, 4099, F16, 45) (dual of [4099, 3972, 46]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(16124, 4099, F16, 44) (dual of [4099, 3975, 45]-code) [i]✔
5Linear OA(16125, 4103, F16, 44) (dual of [4103, 3978, 45]-code) [i]✔
6Linear OA(16126, 4107, F16, 44) (dual of [4107, 3981, 45]-code) [i]✔
7Linear OA(16127, 4111, F16, 44) (dual of [4111, 3984, 45]-code) [i]✔
8Linear OA(16128, 4113, F16, 44) (dual of [4113, 3985, 45]-code) [i]✔
9Linear OA(16129, 4116, F16, 44) (dual of [4116, 3987, 45]-code) [i]✔
10Linear OA(16130, 4120, F16, 44) (dual of [4120, 3990, 45]-code) [i]✔