Information on Result #686234

Linear OA(8113, 2097152, F8, 19) (dual of [2097152, 2097039, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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 OA(8120, 2097159, F8, 20) (dual of [2097159, 2097039, 21]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(8113, 2097159, F8, 19) (dual of [2097159, 2097046, 20]-code) [i]✔
3Linear OA(8137, 2097176, F8, 22) (dual of [2097176, 2097039, 23]-code) [i]✔
4Linear OA(8117, 2097177, F8, 19) (dual of [2097177, 2097060, 20]-code) [i]✔
5Linear OA(8119, 2097186, F8, 19) (dual of [2097186, 2097067, 20]-code) [i]✔
6Linear OA(8155, 2097194, F8, 25) (dual of [2097194, 2097039, 26]-code) [i]✔
7Linear OA(8120, 2097194, F8, 19) (dual of [2097194, 2097074, 20]-code) [i]✔
8Linear OA(8166, 2097205, F8, 26) (dual of [2097205, 2097039, 27]-code) [i]✔
9Linear OA(8124, 2097205, F8, 19) (dual of [2097205, 2097081, 20]-code) [i]✔
10Linear OA(8126, 2097214, F8, 19) (dual of [2097214, 2097088, 20]-code) [i]✔
11Linear OA(8165, 2097204, F8, 26) (dual of [2097204, 2097039, 27]-code) [i]✔
12Linear OA(8123, 2097204, F8, 19) (dual of [2097204, 2097081, 20]-code) [i]✔
13Linear OA(8125, 2097213, F8, 19) (dual of [2097213, 2097088, 20]-code) [i]✔
14Linear OA(8136, 2097169, F8, 22) (dual of [2097169, 2097033, 23]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
15Linear OA(8118, 2097179, F8, 19) (dual of [2097179, 2097061, 20]-code) [i]✔