Information on Result #612025

Linear OA(3109, 730, F3, 27) (dual of [730, 621, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(3122, 744, F3, 27) (dual of [744, 622, 28]-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(3110, 743, F3, 27) (dual of [743, 633, 28]-code) [i]✔
7Linear OA(3141, 758, F3, 33) (dual of [758, 617, 34]-code) [i]✔
8Linear OA(3143, 764, F3, 33) (dual of [764, 621, 34]-code) [i]✔
9Linear OA(3141, 762, F3, 32) (dual of [762, 621, 33]-code) [i]✔
10Linear OA(3117, 758, F3, 27) (dual of [758, 641, 28]-code) [i]✔
11Linear OA(3119, 764, F3, 27) (dual of [764, 645, 28]-code) [i]✔
12Linear OA(3117, 762, F3, 26) (dual of [762, 645, 27]-code) [i]✔
13Linear OA(3167, 782, F3, 37) (dual of [782, 615, 38]-code) [i]✔
14Linear OA(3164, 778, F3, 36) (dual of [778, 614, 37]-code) [i]✔
15Linear OA(3165, 780, F3, 36) (dual of [780, 615, 37]-code) [i]✔
16Linear OA(3166, 787, F3, 36) (dual of [787, 621, 37]-code) [i]✔
17Linear OA(3160, 771, F3, 35) (dual of [771, 611, 36]-code) [i]✔
18Linear OA(3124, 771, F3, 27) (dual of [771, 647, 28]-code) [i]✔