Information on Result #612074

Linear OA(3191, 59049, F3, 29) (dual of [59049, 58858, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

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(3205, 59064, F3, 29) (dual of [59064, 58859, 30]-code) [i](u, u+v)-Construction
2Linear OA(3209, 59069, F3, 29) (dual of [59069, 58860, 30]-code) [i]
3Linear OA(3202, 59060, F3, 31) (dual of [59060, 58858, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(3191, 59059, F3, 29) (dual of [59059, 58868, 30]-code) [i]✔
5Linear OA(3215, 59073, F3, 32) (dual of [59073, 58858, 33]-code) [i]✔
6Linear OA(3195, 59073, F3, 29) (dual of [59073, 58878, 30]-code) [i]✔
7Linear OA(3229, 59087, F3, 34) (dual of [59087, 58858, 35]-code) [i]✔
8Linear OA(3227, 59085, F3, 33) (dual of [59085, 58858, 34]-code) [i]✔
9Linear OA(3197, 59085, F3, 29) (dual of [59085, 58888, 30]-code) [i]✔
10Linear OA(3243, 59101, F3, 35) (dual of [59101, 58858, 36]-code) [i]✔
11Linear OA(3203, 59101, F3, 29) (dual of [59101, 58898, 30]-code) [i]✔
12Linear OA(3207, 59115, F3, 29) (dual of [59115, 58908, 30]-code) [i]✔
13Linear OA(3242, 59100, F3, 35) (dual of [59100, 58858, 36]-code) [i]✔
14Linear OA(3202, 59100, F3, 29) (dual of [59100, 58898, 30]-code) [i]✔
15Linear OA(3206, 59114, F3, 29) (dual of [59114, 58908, 30]-code) [i]✔
16Linear OA(3226, 59077, F3, 33) (dual of [59077, 58851, 34]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes