Information on Result #619539

Linear OA(12822, 2097152, F128, 8) (dual of [2097152, 2097130, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8

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(12826, 2097281, F128, 8) (dual of [2097281, 2097255, 9]-code) [i](u, u+v)-Construction
2Linear OA(12827, 2097302, F128, 8) (dual of [2097302, 2097275, 9]-code) [i]
3Linear OA(12828, 2113408, F128, 8) (dual of [2113408, 2113380, 9]-code) [i]
4Linear OA(12827, 2097158, F128, 8) (dual of [2097158, 2097131, 9]-code) [i](u, u−v, u+v+w)-Construction
5Linear OA(12828, 2097410, F128, 8) (dual of [2097410, 2097382, 9]-code) [i]
6Linear OA(12825, 2097155, F128, 9) (dual of [2097155, 2097130, 10]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(12822, 2097155, F128, 8) (dual of [2097155, 2097133, 9]-code) [i]✔
8Linear OA(12829, 2097159, F128, 10) (dual of [2097159, 2097130, 11]-code) [i]✔
9Linear OA(12823, 2097159, F128, 8) (dual of [2097159, 2097136, 9]-code) [i]✔
10Linear OA(12833, 2097163, F128, 11) (dual of [2097163, 2097130, 12]-code) [i]✔
11Linear OA(12824, 2097163, F128, 8) (dual of [2097163, 2097139, 9]-code) [i]✔
12Linear OA(12837, 2097167, F128, 12) (dual of [2097167, 2097130, 13]-code) [i]✔
13Linear OA(12825, 2097167, F128, 8) (dual of [2097167, 2097142, 9]-code) [i]✔
14Linear OA(12841, 2097171, F128, 13) (dual of [2097171, 2097130, 14]-code) [i]✔
15Linear OA(12845, 2097175, F128, 14) (dual of [2097175, 2097130, 15]-code) [i]✔
16Linear OA(12849, 2097179, F128, 15) (dual of [2097179, 2097130, 16]-code) [i]✔
17Linear OA(12853, 2097183, F128, 16) (dual of [2097183, 2097130, 17]-code) [i]✔
18Linear OA(12832, 2097163, F128, 10) (dual of [2097163, 2097131, 11]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
19Linear OOA(12822, 524288, F128, 4, 8) (dual of [(524288, 4), 2097130, 9]-NRT-code) [i]OOA Folding
20Linear OOA(12822, 524288, F128, 8, 8) (dual of [(524288, 8), 4194282, 9]-NRT-code) [i]OA Folding and Stacking