Information on Result #689891

Linear OA(991, 730, F9, 33) (dual of [730, 639, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, 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(9100, 739, F9, 37) (dual of [739, 639, 38]-code) [i]Construction X with Cyclic Codes
2Linear OA(992, 737, F9, 33) (dual of [737, 645, 34]-code) [i]
3Linear OA(9109, 746, F9, 39) (dual of [746, 637, 40]-code) [i]
4Linear OA(9110, 749, F9, 39) (dual of [749, 639, 40]-code) [i]
5Linear OA(9108, 746, F9, 38) (dual of [746, 638, 39]-code) [i]
6Linear OA(994, 740, F9, 33) (dual of [740, 646, 34]-code) [i]
7Linear OA(995, 746, F9, 33) (dual of [746, 651, 34]-code) [i]
8Linear OA(993, 740, F9, 32) (dual of [740, 647, 33]-code) [i]
9Linear OA(9119, 758, F9, 41) (dual of [758, 639, 42]-code) [i]
10Linear OA(998, 755, F9, 33) (dual of [755, 657, 34]-code) [i]
11Linear OA(9130, 769, F9, 43) (dual of [769, 639, 44]-code) [i]
12Linear OA(9102, 760, F9, 33) (dual of [760, 658, 34]-code) [i]
13Linear OA(9103, 766, F9, 33) (dual of [766, 663, 34]-code) [i]
14Linear OA(9100, 758, F9, 32) (dual of [758, 658, 33]-code) [i]
15Linear OA(9101, 764, F9, 32) (dual of [764, 663, 33]-code) [i]
16Linear OA(9139, 778, F9, 45) (dual of [778, 639, 46]-code) [i]
17Linear OA(9106, 770, F9, 33) (dual of [770, 664, 34]-code) [i]
18Linear OA(9107, 776, F9, 33) (dual of [776, 669, 34]-code) [i]
19Linear OA(9105, 771, F9, 32) (dual of [771, 666, 33]-code) [i]
20Linear OA(9149, 788, F9, 47) (dual of [788, 639, 48]-code) [i]
21Linear OA(9147, 786, F9, 46) (dual of [786, 639, 47]-code) [i]
22Linear OA(9109, 784, F9, 33) (dual of [784, 675, 34]-code) [i]
23Linear OA(9129, 766, F9, 43) (dual of [766, 637, 44]-code) [i]Construction XX with a Chain of Cyclic Codes
24Linear OA(9128, 764, F9, 43) (dual of [764, 636, 44]-code) [i]
25Linear OA(9127, 762, F9, 43) (dual of [762, 635, 44]-code) [i]
26Linear OA(9126, 760, F9, 43) (dual of [760, 634, 44]-code) [i]
27Linear OA(9118, 753, F9, 41) (dual of [753, 635, 42]-code) [i]
28Linear OA(9117, 751, F9, 41) (dual of [751, 634, 42]-code) [i]
29Linear OA(9122, 763, F9, 40) (dual of [763, 641, 41]-code) [i]
30Linear OA(9122, 762, F9, 41) (dual of [762, 640, 42]-code) [i]
31Linear OA(9120, 760, F9, 40) (dual of [760, 640, 41]-code) [i]
32Linear OA(9108, 742, F9, 39) (dual of [742, 634, 40]-code) [i]
33Linear OA(9112, 752, F9, 39) (dual of [752, 640, 40]-code) [i]
34Linear OA(9102, 742, F9, 37) (dual of [742, 640, 38]-code) [i]
35Linear OA(997, 749, F9, 33) (dual of [749, 652, 34]-code) [i]
36Linear OA(9102, 762, F9, 33) (dual of [762, 660, 34]-code) [i]
37Linear OA(9101, 760, F9, 33) (dual of [760, 659, 34]-code) [i]
38Linear OA(9100, 758, F9, 33) (dual of [758, 658, 34]-code) [i]