Information on Result #611935

Linear OA(3166, 177147, F3, 23) (dual of [177147, 176981, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(3177, 177159, F3, 23) (dual of [177159, 176982, 24]-code) [i](u, u+v)-Construction
2Linear OA(3180, 177163, F3, 23) (dual of [177163, 176983, 24]-code) [i]
3Linear OA(3178, 177159, F3, 25) (dual of [177159, 176981, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(3166, 177158, F3, 23) (dual of [177158, 176992, 24]-code) [i]✔
5Linear OA(3192, 177173, F3, 26) (dual of [177173, 176981, 27]-code) [i]✔
6Linear OA(3170, 177173, F3, 23) (dual of [177173, 177003, 24]-code) [i]✔
7Linear OA(3207, 177188, F3, 28) (dual of [177188, 176981, 29]-code) [i]✔
8Linear OA(3205, 177186, F3, 27) (dual of [177186, 176981, 28]-code) [i]✔
9Linear OA(3172, 177186, F3, 23) (dual of [177186, 177014, 24]-code) [i]✔
10Linear OA(3222, 177203, F3, 29) (dual of [177203, 176981, 30]-code) [i]✔
11Linear OA(3178, 177203, F3, 23) (dual of [177203, 177025, 24]-code) [i]✔
12Linear OA(3238, 177219, F3, 31) (dual of [177219, 176981, 32]-code) [i]✔
13Linear OA(3221, 177202, F3, 29) (dual of [177202, 176981, 30]-code) [i]✔
14Linear OA(3177, 177202, F3, 23) (dual of [177202, 177025, 24]-code) [i]✔
15Linear OA(3237, 177218, F3, 31) (dual of [177218, 176981, 32]-code) [i]✔
16Linear OA(3167, 177171, F3, 22) (dual of [177171, 177004, 23]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes