Information on Result #615923

Linear OA(9109, 730, F9, 41) (dual of [730, 621, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(9128, 750, F9, 41) (dual of [750, 622, 42]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(9116, 737, F9, 43) (dual of [737, 621, 44]-code) [i]✔
3Linear OA(9110, 737, F9, 41) (dual of [737, 627, 42]-code) [i]✔
4Linear OA(9125, 746, F9, 45) (dual of [746, 621, 46]-code) [i]✔
5Linear OA(9112, 740, F9, 41) (dual of [740, 628, 42]-code) [i]✔
6Linear OA(9113, 746, F9, 41) (dual of [746, 633, 42]-code) [i]✔
7Linear OA(9111, 740, F9, 40) (dual of [740, 629, 41]-code) [i]✔
8Linear OA(9119, 758, F9, 41) (dual of [758, 639, 42]-code) [i]✔
9Linear OA(9124, 769, F9, 41) (dual of [769, 645, 42]-code) [i]✔
10Linear OA(9122, 762, F9, 40) (dual of [762, 640, 41]-code) [i]✔
11Linear OA(9127, 778, F9, 41) (dual of [778, 651, 42]-code) [i]✔
12Linear OA(9125, 771, F9, 40) (dual of [771, 646, 41]-code) [i]✔
13Linear OA(9131, 788, F9, 41) (dual of [788, 657, 42]-code) [i]✔
14Linear OA(9129, 786, F9, 40) (dual of [786, 657, 41]-code) [i]✔
15Linear OA(9135, 798, F9, 41) (dual of [798, 663, 42]-code) [i]✔
16Linear OA(9133, 796, F9, 40) (dual of [796, 663, 41]-code) [i]✔
17Linear OA(9118, 753, F9, 41) (dual of [753, 635, 42]-code) [i]✔Construction XX with a Chain of Cyclic Codes
18Linear OA(9117, 751, F9, 41) (dual of [751, 634, 42]-code) [i]✔
19Linear OA(9122, 763, F9, 40) (dual of [763, 641, 41]-code) [i]✔
20Linear OA(9122, 762, F9, 41) (dual of [762, 640, 42]-code) [i]✔
21Linear OA(9120, 760, F9, 40) (dual of [760, 640, 41]-code) [i]✔