Information on Result #692061

Linear OA(1625, 4096, F16, 9) (dual of [4096, 4071, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(1625, 3026, F16, 2, 9) (dual of [(3026, 2), 6027, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (16, 25, 3026)-net over F16 [i]
3Linear OA(1628, 4099, F16, 10) (dual of [4099, 4071, 11]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(1625, 4099, F16, 9) (dual of [4099, 4074, 10]-code) [i]✔
5Linear OA(1636, 4107, F16, 12) (dual of [4107, 4071, 13]-code) [i]✔
6Linear OA(1627, 4107, F16, 9) (dual of [4107, 4080, 10]-code) [i]✔
7Linear OA(1644, 4113, F16, 14) (dual of [4113, 4069, 15]-code) [i]✔
8Linear OA(1645, 4116, F16, 14) (dual of [4116, 4071, 15]-code) [i]✔
9Linear OA(1655, 4126, F16, 17) (dual of [4126, 4071, 18]-code) [i]✔
10Linear OA(1659, 4129, F16, 18) (dual of [4129, 4070, 19]-code) [i]✔
11Linear OA(1660, 4131, F16, 18) (dual of [4131, 4071, 19]-code) [i]✔