Information on Result #704070

Linear OA(3147, 728, F3, 37) (dual of [728, 581, 38]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3193, 772, F3, 45) (dual of [772, 579, 46]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(3195, 794, F3, 44) (dual of [794, 599, 45]-code) [i]✔Construction XX with Cyclic Codes
3Linear OA(3179, 778, F3, 42) (dual of [778, 599, 43]-code) [i]✔
4Linear OA(3192, 789, F3, 44) (dual of [789, 597, 45]-code) [i]✔
5Linear OA(3191, 784, F3, 44) (dual of [784, 593, 45]-code) [i]✔
6Linear OA(3165, 752, F3, 41) (dual of [752, 587, 42]-code) [i]✔
7Linear OA(3173, 760, F3, 42) (dual of [760, 587, 43]-code) [i]✔
8Linear OA(3186, 771, F3, 44) (dual of [771, 585, 45]-code) [i]✔
9Linear OA(3162, 743, F3, 41) (dual of [743, 581, 42]-code) [i]✔
10Linear OA(3172, 753, F3, 43) (dual of [753, 581, 44]-code) [i]✔
11Linear OA(3170, 748, F3, 42) (dual of [748, 578, 43]-code) [i]✔
12Linear OA(3189, 769, F3, 45) (dual of [769, 580, 46]-code) [i]✔
13Linear OA(3193, 772, F3, 46) (dual of [772, 579, 47]-code) [i]✔
14Linear OA(3187, 763, F3, 45) (dual of [763, 576, 46]-code) [i]✔
15Linear OA(3207, 787, F3, 48) (dual of [787, 580, 49]-code) [i]✔
16Linear OA(3211, 790, F3, 49) (dual of [790, 579, 50]-code) [i]✔
17Linear OA(3205, 781, F3, 48) (dual of [781, 576, 49]-code) [i]✔
18Linear OA(3210, 785, F3, 49) (dual of [785, 575, 50]-code) [i]✔
19Linear OA(3219, 794, F3, 50) (dual of [794, 575, 51]-code) [i]✔