Information on Result #674864

Linear OA(3161, 59049, F3, 25) (dual of [59049, 58888, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(3171, 59059, F3, 26) (dual of [59059, 58888, 27]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3162, 59060, F3, 25) (dual of [59060, 58898, 26]-code) [i]✔
3Linear OA(3185, 59073, F3, 28) (dual of [59073, 58888, 29]-code) [i]✔
4Linear OA(3162, 59070, F3, 24) (dual of [59070, 58908, 25]-code) [i]✔
5Linear OA(3165, 59073, F3, 25) (dual of [59073, 58908, 26]-code) [i]✔
6Linear OA(3197, 59085, F3, 29) (dual of [59085, 58888, 30]-code) [i]✔
7Linear OA(3169, 59087, F3, 25) (dual of [59087, 58918, 26]-code) [i]✔
8Linear OA(3167, 59085, F3, 24) (dual of [59085, 58918, 25]-code) [i]✔
9Linear OA(3227, 59115, F3, 32) (dual of [59115, 58888, 33]-code) [i]✔
10Linear OA(3242, 59130, F3, 34) (dual of [59130, 58888, 35]-code) [i]✔
11Linear OA(3226, 59114, F3, 32) (dual of [59114, 58888, 33]-code) [i]✔
12Linear OA(3186, 59077, F3, 27) (dual of [59077, 58891, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(3166, 59077, F3, 24) (dual of [59077, 58911, 25]-code) [i]✔
14Linear OOA(3161, 19683, F3, 3, 25) (dual of [(19683, 3), 58888, 26]-NRT-code) [i]OOA Folding
15Linear OOA(3161, 14762, F3, 4, 25) (dual of [(14762, 4), 58887, 26]-NRT-code) [i]
16Linear OOA(3161, 4920, F3, 25, 25) (dual of [(4920, 25), 122839, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row