Information on Result #674869

Linear OA(3121, 59049, F3, 19) (dual of [59049, 58928, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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(3131, 59059, F3, 20) (dual of [59059, 58928, 21]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3122, 59060, F3, 19) (dual of [59060, 58938, 20]-code) [i]✔
3Linear OA(3145, 59073, F3, 22) (dual of [59073, 58928, 23]-code) [i]✔
4Linear OA(3122, 59070, F3, 18) (dual of [59070, 58948, 19]-code) [i]✔
5Linear OA(3125, 59073, F3, 19) (dual of [59073, 58948, 20]-code) [i]✔
6Linear OA(3157, 59085, F3, 23) (dual of [59085, 58928, 24]-code) [i]✔
7Linear OA(3129, 59087, F3, 19) (dual of [59087, 58958, 20]-code) [i]✔
8Linear OA(3127, 59085, F3, 18) (dual of [59085, 58958, 19]-code) [i]✔
9Linear OA(3187, 59115, F3, 26) (dual of [59115, 58928, 27]-code) [i]✔
10Linear OA(3186, 59114, F3, 26) (dual of [59114, 58928, 27]-code) [i]✔
11Linear OA(3146, 59077, F3, 21) (dual of [59077, 58931, 22]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(3126, 59077, F3, 18) (dual of [59077, 58951, 19]-code) [i]✔
13Linear OA(3122, 59071, F3, 18) (dual of [59071, 58949, 19]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
14Linear OOA(3121, 19683, F3, 3, 19) (dual of [(19683, 3), 58928, 20]-NRT-code) [i]OOA Folding
15Linear OOA(3121, 14762, F3, 4, 19) (dual of [(14762, 4), 58927, 20]-NRT-code) [i]