Information on Result #612138

Linear OA(3133, 730, F3, 33) (dual of [730, 597, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(3148, 746, F3, 33) (dual of [746, 598, 34]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(3146, 743, F3, 35) (dual of [743, 597, 36]-code) [i]✔
3Linear OA(3149, 740, F3, 37) (dual of [740, 591, 38]-code) [i]✔
4Linear OA(3150, 747, F3, 37) (dual of [747, 597, 38]-code) [i]✔
5Linear OA(3148, 743, F3, 36) (dual of [743, 595, 37]-code) [i]✔
6Linear OA(3134, 743, F3, 33) (dual of [743, 609, 34]-code) [i]✔
7Linear OA(3165, 758, F3, 39) (dual of [758, 593, 40]-code) [i]✔
8Linear OA(3167, 764, F3, 39) (dual of [764, 597, 40]-code) [i]✔
9Linear OA(3165, 762, F3, 38) (dual of [762, 597, 39]-code) [i]✔
10Linear OA(3141, 758, F3, 33) (dual of [758, 617, 34]-code) [i]✔
11Linear OA(3143, 764, F3, 33) (dual of [764, 621, 34]-code) [i]✔
12Linear OA(3141, 762, F3, 32) (dual of [762, 621, 33]-code) [i]✔
13Linear OA(3188, 778, F3, 42) (dual of [778, 590, 43]-code) [i]✔
14Linear OA(3184, 771, F3, 41) (dual of [771, 587, 42]-code) [i]✔
15Linear OA(3185, 773, F3, 41) (dual of [773, 588, 42]-code) [i]✔
16Linear OA(3186, 783, F3, 41) (dual of [783, 597, 42]-code) [i]✔
17Linear OA(3148, 771, F3, 33) (dual of [771, 623, 34]-code) [i]✔
18Linear OA(3149, 773, F3, 33) (dual of [773, 624, 34]-code) [i]✔
19Linear OA(3150, 783, F3, 33) (dual of [783, 633, 34]-code) [i]✔