Information on Result #611725

Linear OA(3113, 4782970, F3, 13) (dual of [4782970, 4782857, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(3112, 4782969, F3, 12) (dual of [4782969, 4782857, 13]-code) [i]Truncation
2Linear OA(3119, 4782977, F3, 13) (dual of [4782977, 4782858, 14]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(3142, 4782999, F3, 15) (dual of [4782999, 4782857, 16]-code) [i]✔
4Linear OA(3116, 4782974, F3, 13) (dual of [4782974, 4782858, 14]-code) [i]✔
5Linear OA(3117, 4782980, F3, 13) (dual of [4782980, 4782863, 14]-code) [i]✔
6Linear OA(3118, 4782990, F3, 13) (dual of [4782990, 4782872, 14]-code) [i]✔
7Linear OA(3119, 4783004, F3, 13) (dual of [4783004, 4782885, 14]-code) [i]✔
8Linear OA(3115, 4782974, F3, 12) (dual of [4782974, 4782859, 13]-code) [i]✔
9Linear OA(3116, 4782983, F3, 12) (dual of [4782983, 4782867, 13]-code) [i]✔
10Linear OA(3117, 4783002, F3, 12) (dual of [4783002, 4782885, 13]-code) [i]✔
11Linear OA(3180, 4783011, F3, 19) (dual of [4783011, 4782831, 20]-code) [i]✔
12Linear OA(3177, 4783011, F3, 18) (dual of [4783011, 4782834, 19]-code) [i]✔
13Linear OA(3178, 4783035, F3, 18) (dual of [4783035, 4782857, 19]-code) [i]✔
14Linear OA(3180, 4783037, F3, 19) (dual of [4783037, 4782857, 20]-code) [i]✔
15Linear OA(3142, 4783000, F3, 15) (dual of [4783000, 4782858, 16]-code) [i]✔Construction X4 with Cyclic Codes
16Linear OOA(3113, 2391485, F3, 2, 13) (dual of [(2391485, 2), 4782857, 14]-NRT-code) [i]OOA Folding
17Linear OOA(3113, 956594, F3, 5, 13) (dual of [(956594, 5), 4782857, 14]-NRT-code) [i]