Information on Result #614994

Linear OA(8127, 2097153, F8, 21) (dual of [2097153, 2097026, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(8138, 2097167, F8, 21) (dual of [2097167, 2097029, 22]-code) [i](u, u+v)-Construction
2Linear OA(8139, 2097170, F8, 21) (dual of [2097170, 2097031, 22]-code) [i]
3Linear OA(8140, 2097177, F8, 21) (dual of [2097177, 2097037, 22]-code) [i]
4Linear OA(8141, 2097179, F8, 21) (dual of [2097179, 2097038, 22]-code) [i]
5Linear OA(8142, 2097181, F8, 21) (dual of [2097181, 2097039, 22]-code) [i]
6Linear OA(8143, 2097218, F8, 21) (dual of [2097218, 2097075, 22]-code) [i]
7Linear OA(8143, 2097171, F8, 21) (dual of [2097171, 2097028, 22]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(8144, 2097174, F8, 21) (dual of [2097174, 2097030, 22]-code) [i]
9Linear OA(8137, 2097164, F8, 21) (dual of [2097164, 2097027, 22]-code) [i]✔Construction X with Cyclic Codes
10Linear OA(8142, 2097168, F8, 23) (dual of [2097168, 2097026, 24]-code) [i]✔
11Linear OA(8128, 2097168, F8, 21) (dual of [2097168, 2097040, 22]-code) [i]✔
12Linear OA(8159, 2097185, F8, 25) (dual of [2097185, 2097026, 26]-code) [i]✔
13Linear OA(8131, 2097185, F8, 21) (dual of [2097185, 2097054, 22]-code) [i]✔
14Linear OA(8140, 2097208, F8, 21) (dual of [2097208, 2097068, 22]-code) [i]✔
15Linear OA(8142, 2097217, F8, 21) (dual of [2097217, 2097075, 22]-code) [i]✔
16Linear OA(8156, 2097183, F8, 23) (dual of [2097183, 2097027, 24]-code) [i]✔Construction X4 with Cyclic Codes