Information on Result #614966

Linear OA(8113, 2097153, F8, 19) (dual of [2097153, 2097040, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound)

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(8123, 2097167, F8, 19) (dual of [2097167, 2097044, 20]-code) [i](u, u+v)-Construction
2Linear OA(8124, 2097170, F8, 19) (dual of [2097170, 2097046, 20]-code) [i]
3Linear OA(8125, 2097177, F8, 19) (dual of [2097177, 2097052, 20]-code) [i]
4Linear OA(8126, 2097180, F8, 19) (dual of [2097180, 2097054, 20]-code) [i]
5Linear OA(8128, 2097217, F8, 19) (dual of [2097217, 2097089, 20]-code) [i]
6Linear OA(8127, 2097169, F8, 19) (dual of [2097169, 2097042, 20]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(8128, 2097172, F8, 19) (dual of [2097172, 2097044, 20]-code) [i]
8Linear OA(8121, 2097162, F8, 19) (dual of [2097162, 2097041, 20]-code) [i]✔Construction X with Cyclic Codes
9Linear OA(8128, 2097168, F8, 21) (dual of [2097168, 2097040, 22]-code) [i]✔
10Linear OA(8114, 2097168, F8, 19) (dual of [2097168, 2097054, 20]-code) [i]✔
11Linear OA(8145, 2097185, F8, 23) (dual of [2097185, 2097040, 24]-code) [i]✔
12Linear OA(8120, 2097188, F8, 19) (dual of [2097188, 2097068, 20]-code) [i]✔
13Linear OA(8162, 2097202, F8, 25) (dual of [2097202, 2097040, 26]-code) [i]✔
14Linear OA(8126, 2097208, F8, 19) (dual of [2097208, 2097082, 20]-code) [i]✔
15Linear OA(8142, 2097183, F8, 21) (dual of [2097183, 2097041, 22]-code) [i]✔Construction X4 with Cyclic Codes