Information on Result #619524

Linear OA(12816, 2097152, F128, 6) (dual of [2097152, 2097136, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6

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(12819, 2097282, F128, 6) (dual of [2097282, 2097263, 7]-code) [i](u, u+v)-Construction
2Linear OA(12820, 2113537, F128, 6) (dual of [2113537, 2113517, 7]-code) [i]
3Linear OOA(12816, 1390869, F128, 2, 6) (dual of [(1390869, 2), 2781722, 7]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(12816, 1390869, F128, 3, 6) (dual of [(1390869, 3), 4172591, 7]-NRT-code) [i]
5Linear OOA(12816, 1390869, F128, 4, 6) (dual of [(1390869, 4), 5563460, 7]-NRT-code) [i]
6Digital (10, 16, 1390869)-net over F128 [i]
7Linear OA(12819, 2097155, F128, 7) (dual of [2097155, 2097136, 8]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(12816, 2097155, F128, 6) (dual of [2097155, 2097139, 7]-code) [i]✔
9Linear OA(12823, 2097159, F128, 8) (dual of [2097159, 2097136, 9]-code) [i]✔
10Linear OA(12817, 2097159, F128, 6) (dual of [2097159, 2097142, 7]-code) [i]✔
11Linear OA(12827, 2097163, F128, 9) (dual of [2097163, 2097136, 10]-code) [i]✔
12Linear OA(12818, 2097163, F128, 6) (dual of [2097163, 2097145, 7]-code) [i]✔
13Linear OA(12831, 2097167, F128, 10) (dual of [2097167, 2097136, 11]-code) [i]✔
14Linear OA(12835, 2097171, F128, 11) (dual of [2097171, 2097136, 12]-code) [i]✔
15Linear OA(12839, 2097175, F128, 12) (dual of [2097175, 2097136, 13]-code) [i]✔
16Linear OA(12817, 2097160, F128, 6) (dual of [2097160, 2097143, 7]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes