Information on Result #676361

Linear OA(3121, 730, F3, 31) (dual of [730, 609, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(3134, 743, F3, 33) (dual of [743, 609, 34]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(3122, 743, F3, 29) (dual of [743, 621, 30]-code) [i]✔
3Linear OA(3125, 740, F3, 31) (dual of [740, 615, 32]-code) [i]✔
4Linear OA(3126, 747, F3, 31) (dual of [747, 621, 32]-code) [i]✔
5Linear OA(3124, 743, F3, 30) (dual of [743, 619, 31]-code) [i]✔
6Linear OA(3153, 758, F3, 37) (dual of [758, 605, 38]-code) [i]✔
7Linear OA(3155, 764, F3, 37) (dual of [764, 609, 38]-code) [i]✔
8Linear OA(3153, 762, F3, 36) (dual of [762, 609, 37]-code) [i]✔
9Linear OA(3150, 750, F3, 35) (dual of [750, 600, 36]-code) [i]✔
10Linear OA(3151, 760, F3, 35) (dual of [760, 609, 36]-code) [i]✔
11Linear OA(3149, 758, F3, 34) (dual of [758, 609, 35]-code) [i]✔
12Linear OA(3129, 758, F3, 31) (dual of [758, 629, 32]-code) [i]✔
13Linear OA(3131, 764, F3, 31) (dual of [764, 633, 32]-code) [i]✔
14Linear OA(3129, 762, F3, 30) (dual of [762, 633, 31]-code) [i]✔
15Linear OA(3126, 750, F3, 29) (dual of [750, 624, 30]-code) [i]✔
16Linear OA(3127, 760, F3, 29) (dual of [760, 633, 30]-code) [i]✔
17Linear OA(3125, 758, F3, 28) (dual of [758, 633, 29]-code) [i]✔
18Linear OA(3172, 771, F3, 39) (dual of [771, 599, 40]-code) [i]✔
19Linear OA(3173, 773, F3, 39) (dual of [773, 600, 40]-code) [i]✔
20Linear OA(3174, 783, F3, 39) (dual of [783, 609, 40]-code) [i]✔