Information on Result #611934

Linear OA(3151, 59049, F3, 23) (dual of [59049, 58898, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, 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(3162, 59061, F3, 23) (dual of [59061, 58899, 24]-code) [i](u, u+v)-Construction
2Linear OA(3165, 59065, F3, 23) (dual of [59065, 58900, 24]-code) [i]
3Linear OA(3162, 59060, F3, 25) (dual of [59060, 58898, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(3151, 59059, F3, 23) (dual of [59059, 58908, 24]-code) [i]✔
5Linear OA(3175, 59073, F3, 26) (dual of [59073, 58898, 27]-code) [i]✔
6Linear OA(3155, 59073, F3, 23) (dual of [59073, 58918, 24]-code) [i]✔
7Linear OA(3189, 59087, F3, 28) (dual of [59087, 58898, 29]-code) [i]✔
8Linear OA(3187, 59085, F3, 27) (dual of [59085, 58898, 28]-code) [i]✔
9Linear OA(3157, 59085, F3, 23) (dual of [59085, 58928, 24]-code) [i]✔
10Linear OA(3203, 59101, F3, 29) (dual of [59101, 58898, 30]-code) [i]✔
11Linear OA(3163, 59101, F3, 23) (dual of [59101, 58938, 24]-code) [i]✔
12Linear OA(3218, 59116, F3, 31) (dual of [59116, 58898, 32]-code) [i]✔
13Linear OA(3202, 59100, F3, 29) (dual of [59100, 58898, 30]-code) [i]✔
14Linear OA(3162, 59100, F3, 23) (dual of [59100, 58938, 24]-code) [i]✔
15Linear OA(3217, 59115, F3, 31) (dual of [59115, 58898, 32]-code) [i]✔
16Linear OA(3186, 59077, F3, 27) (dual of [59077, 58891, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
17Linear OOA(3151, 5368, F3, 23, 23) (dual of [(5368, 23), 123313, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row