Information on Result #612233

Linear OA(3157, 730, F3, 39) (dual of [730, 573, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound)

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(3176, 750, F3, 39) (dual of [750, 574, 40]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(3170, 743, F3, 41) (dual of [743, 573, 42]-code) [i]✔
3Linear OA(3173, 740, F3, 43) (dual of [740, 567, 44]-code) [i]✔
4Linear OA(3174, 747, F3, 43) (dual of [747, 573, 44]-code) [i]✔
5Linear OA(3172, 743, F3, 42) (dual of [743, 571, 43]-code) [i]✔
6Linear OA(3158, 743, F3, 39) (dual of [743, 585, 40]-code) [i]✔
7Linear OA(3189, 758, F3, 45) (dual of [758, 569, 46]-code) [i]✔
8Linear OA(3191, 764, F3, 45) (dual of [764, 573, 46]-code) [i]✔
9Linear OA(3189, 762, F3, 44) (dual of [762, 573, 45]-code) [i]✔
10Linear OA(3165, 758, F3, 39) (dual of [758, 593, 40]-code) [i]✔
11Linear OA(3167, 764, F3, 39) (dual of [764, 597, 40]-code) [i]✔
12Linear OA(3165, 762, F3, 38) (dual of [762, 597, 39]-code) [i]✔
13Linear OA(3215, 782, F3, 49) (dual of [782, 567, 50]-code) [i]✔
14Linear OA(3212, 778, F3, 48) (dual of [778, 566, 49]-code) [i]✔
15Linear OA(3213, 780, F3, 48) (dual of [780, 567, 49]-code) [i]✔
16Linear OA(3214, 787, F3, 48) (dual of [787, 573, 49]-code) [i]✔
17Linear OA(3208, 771, F3, 47) (dual of [771, 563, 48]-code) [i]✔
18Linear OA(3209, 773, F3, 47) (dual of [773, 564, 48]-code) [i]✔
19Linear OA(3172, 771, F3, 39) (dual of [771, 599, 40]-code) [i]✔
20Linear OA(3173, 773, F3, 39) (dual of [773, 600, 40]-code) [i]✔
21Linear OA(3174, 783, F3, 39) (dual of [783, 609, 40]-code) [i]✔