Information on Result #616369

Linear OA(1677, 65536, F16, 21) (dual of [65536, 65459, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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(1677, 34632, F16, 2, 21) (dual of [(34632, 2), 69187, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (56, 77, 34632)-net over F16 [i]
3Linear OA(1681, 65540, F16, 22) (dual of [65540, 65459, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(1677, 65540, F16, 21) (dual of [65540, 65463, 22]-code) [i]✔
5Linear OA(1686, 65545, F16, 23) (dual of [65545, 65459, 24]-code) [i]✔
6Linear OA(1678, 65545, F16, 21) (dual of [65545, 65467, 22]-code) [i]✔
7Linear OA(1691, 65550, F16, 24) (dual of [65550, 65459, 25]-code) [i]✔
8Linear OA(1679, 65550, F16, 21) (dual of [65550, 65471, 22]-code) [i]✔
9Linear OA(1696, 65554, F16, 25) (dual of [65554, 65458, 26]-code) [i]✔
10Linear OA(1697, 65556, F16, 25) (dual of [65556, 65459, 26]-code) [i]✔
11Linear OA(1680, 65554, F16, 21) (dual of [65554, 65474, 22]-code) [i]✔
12Linear OA(1681, 65556, F16, 21) (dual of [65556, 65475, 22]-code) [i]✔
13Linear OOA(1677, 6553, F16, 21, 21) (dual of [(6553, 21), 137536, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row