Information on Result #611716

Linear OA(389, 177148, F3, 13) (dual of [177148, 177059, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, 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(388, 177147, F3, 12) (dual of [177147, 177059, 13]-code) [i]Truncation
2Linear OA(395, 177155, F3, 13) (dual of [177155, 177060, 14]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(3112, 177171, F3, 15) (dual of [177171, 177059, 16]-code) [i]✔
4Linear OA(392, 177152, F3, 13) (dual of [177152, 177060, 14]-code) [i]✔
5Linear OA(393, 177158, F3, 13) (dual of [177158, 177065, 14]-code) [i]✔
6Linear OA(394, 177168, F3, 13) (dual of [177168, 177074, 14]-code) [i]✔
7Linear OA(395, 177176, F3, 13) (dual of [177176, 177081, 14]-code) [i]✔
8Linear OA(391, 177152, F3, 12) (dual of [177152, 177061, 13]-code) [i]✔
9Linear OA(392, 177161, F3, 12) (dual of [177161, 177069, 13]-code) [i]✔
10Linear OA(393, 177174, F3, 12) (dual of [177174, 177081, 13]-code) [i]✔
11Linear OA(3143, 177184, F3, 19) (dual of [177184, 177041, 20]-code) [i]✔
12Linear OA(3144, 177189, F3, 19) (dual of [177189, 177045, 20]-code) [i]✔
13Linear OA(3141, 177189, F3, 18) (dual of [177189, 177048, 19]-code) [i]✔
14Linear OA(3142, 177201, F3, 18) (dual of [177201, 177059, 19]-code) [i]✔
15Linear OA(3144, 177203, F3, 19) (dual of [177203, 177059, 20]-code) [i]✔
16Linear OA(3112, 177172, F3, 15) (dual of [177172, 177060, 16]-code) [i]✔Construction X4 with Cyclic Codes
17Linear OOA(389, 88574, F3, 2, 13) (dual of [(88574, 2), 177059, 14]-NRT-code) [i]OOA Folding
18Linear OOA(389, 44287, F3, 4, 13) (dual of [(44287, 4), 177059, 14]-NRT-code) [i]