Information on Result #612040

Linear OA(3199, 177148, F3, 27) (dual of [177148, 176949, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(3212, 177162, F3, 27) (dual of [177162, 176950, 28]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(3222, 177171, F3, 29) (dual of [177171, 176949, 30]-code) [i]✔
3Linear OA(3224, 177152, F3, 31) (dual of [177152, 176928, 32]-code) [i]✔
4Linear OA(3225, 177158, F3, 31) (dual of [177158, 176933, 32]-code) [i]✔
5Linear OA(3226, 177168, F3, 31) (dual of [177168, 176942, 32]-code) [i]✔
6Linear OA(3227, 177176, F3, 31) (dual of [177176, 176949, 32]-code) [i]✔
7Linear OA(3223, 177152, F3, 30) (dual of [177152, 176929, 31]-code) [i]✔
8Linear OA(3224, 177161, F3, 30) (dual of [177161, 176937, 31]-code) [i]✔
9Linear OA(3225, 177174, F3, 30) (dual of [177174, 176949, 31]-code) [i]✔
10Linear OA(3200, 177171, F3, 27) (dual of [177171, 176971, 28]-code) [i]✔
11Linear OA(3209, 177184, F3, 27) (dual of [177184, 176975, 28]-code) [i]✔
12Linear OA(3210, 177189, F3, 27) (dual of [177189, 176979, 28]-code) [i]✔
13Linear OA(3211, 177204, F3, 27) (dual of [177204, 176993, 28]-code) [i]✔
14Linear OA(3210, 177203, F3, 27) (dual of [177203, 176993, 28]-code) [i]✔
15Linear OA(3215, 177230, F3, 27) (dual of [177230, 177015, 28]-code) [i]✔