Information on Result #615708

Linear OA(9127, 4782970, F9, 21) (dual of [4782970, 4782843, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, 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(9138, 4782986, F9, 21) (dual of [4782986, 4782848, 22]-code) [i](u, u+v)-Construction
2Linear OA(9139, 4782990, F9, 21) (dual of [4782990, 4782851, 22]-code) [i]
3Linear OA(9140, 4782998, F9, 21) (dual of [4782998, 4782858, 22]-code) [i]
4Linear OA(9141, 4783000, F9, 21) (dual of [4783000, 4782859, 22]-code) [i]
5Linear OA(9142, 4783002, F9, 21) (dual of [4783002, 4782860, 22]-code) [i]
6Linear OA(9143, 4783011, F9, 21) (dual of [4783011, 4782868, 22]-code) [i]
7Linear OA(9144, 4783051, F9, 21) (dual of [4783051, 4782907, 22]-code) [i]
8Linear OA(9143, 4782988, F9, 21) (dual of [4782988, 4782845, 22]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(9144, 4782991, F9, 21) (dual of [4782991, 4782847, 22]-code) [i]
10Linear OA(9137, 4782981, F9, 21) (dual of [4782981, 4782844, 22]-code) [i]✔Construction X with Cyclic Codes
11Linear OA(9142, 4782985, F9, 23) (dual of [4782985, 4782843, 24]-code) [i]✔
12Linear OA(9128, 4782985, F9, 21) (dual of [4782985, 4782857, 22]-code) [i]✔
13Linear OA(9134, 4783005, F9, 21) (dual of [4783005, 4782871, 22]-code) [i]✔
14Linear OA(9139, 4783011, F9, 21) (dual of [4783011, 4782872, 22]-code) [i]✔
15Linear OA(9140, 4783025, F9, 21) (dual of [4783025, 4782885, 22]-code) [i]✔
16Linear OA(9143, 4783042, F9, 21) (dual of [4783042, 4782899, 22]-code) [i]✔
17Linear OA(9139, 4783024, F9, 21) (dual of [4783024, 4782885, 22]-code) [i]✔