Information on Result #615674

Linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, 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(9112, 4782969, F9, 18) (dual of [4782969, 4782857, 19]-code) [i]Truncation
2Linear OA(9123, 4782990, F9, 19) (dual of [4782990, 4782867, 20]-code) [i](u, u+v)-Construction
3Linear OA(9125, 4782998, F9, 19) (dual of [4782998, 4782873, 20]-code) [i]
4Linear OA(9126, 4783000, F9, 19) (dual of [4783000, 4782874, 20]-code) [i]
5Linear OA(9127, 4783002, F9, 19) (dual of [4783002, 4782875, 20]-code) [i]
6Linear OA(9128, 4783010, F9, 19) (dual of [4783010, 4782882, 20]-code) [i]
7Linear OA(9127, 4782986, F9, 19) (dual of [4782986, 4782859, 20]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(9128, 4782990, F9, 19) (dual of [4782990, 4782862, 20]-code) [i]
9Linear OA(9122, 4782980, F9, 19) (dual of [4782980, 4782858, 20]-code) [i]✔Construction X with Cyclic Codes
10Linear OA(9128, 4782985, F9, 21) (dual of [4782985, 4782857, 22]-code) [i]✔
11Linear OA(9114, 4782985, F9, 17) (dual of [4782985, 4782871, 18]-code) [i]✔
12Linear OA(9116, 4782980, F9, 19) (dual of [4782980, 4782864, 20]-code) [i]✔
13Linear OA(9117, 4782988, F9, 19) (dual of [4782988, 4782871, 20]-code) [i]✔
14Linear OA(9115, 4782980, F9, 18) (dual of [4782980, 4782865, 19]-code) [i]✔
15Linear OA(9145, 4783002, F9, 23) (dual of [4783002, 4782857, 24]-code) [i]✔
16Linear OA(9120, 4783005, F9, 19) (dual of [4783005, 4782885, 20]-code) [i]✔
17Linear OA(9117, 4783002, F9, 17) (dual of [4783002, 4782885, 18]-code) [i]✔
18Linear OA(9125, 4783011, F9, 19) (dual of [4783011, 4782886, 20]-code) [i]✔
19Linear OA(9126, 4783025, F9, 19) (dual of [4783025, 4782899, 20]-code) [i]✔
20Linear OA(9123, 4783011, F9, 18) (dual of [4783011, 4782888, 19]-code) [i]✔
21Linear OA(9124, 4783023, F9, 18) (dual of [4783023, 4782899, 19]-code) [i]✔
22Linear OA(9120, 4783019, F9, 17) (dual of [4783019, 4782899, 18]-code) [i]✔
23Linear OA(9125, 4783024, F9, 19) (dual of [4783024, 4782899, 20]-code) [i]✔
24Linear OOA(9113, 2391485, F9, 2, 19) (dual of [(2391485, 2), 4782857, 20]-NRT-code) [i]OOA Folding
25Linear OOA(9113, 531441, F9, 19, 19) (dual of [(531441, 19), 10097266, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row