Information on Result #615506

Linear OA(949, large, F9, 7) (dual of [large, large−49, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 21523361 | 916−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(949, large, F9, 6) (dual of [large, large−49, 7]-code) [i]Strength Reduction
2Linear OA(949, large, F9, 5) (dual of [large, large−49, 6]-code) [i]
3Linear OA(949, large, F9, 4) (dual of [large, large−49, 5]-code) [i]
4Linear OA(949, large, F9, 3) (dual of [large, large−49, 4]-code) [i]
5Linear OA(950, large, F9, 7) (dual of [large, large−50, 8]-code) [i]Code Embedding in Larger Space
6Linear OA(951, large, F9, 7) (dual of [large, large−51, 8]-code) [i]
7Linear OA(952, large, F9, 7) (dual of [large, large−52, 8]-code) [i]
8Linear OA(953, large, F9, 7) (dual of [large, large−53, 8]-code) [i]
9Linear OA(954, large, F9, 7) (dual of [large, large−54, 8]-code) [i]
10Linear OA(955, large, F9, 7) (dual of [large, large−55, 8]-code) [i]
11Linear OA(956, large, F9, 7) (dual of [large, large−56, 8]-code) [i]
12Linear OA(958, large, F9, 7) (dual of [large, large−58, 8]-code) [i]
13Linear OA(959, large, F9, 7) (dual of [large, large−59, 8]-code) [i]
14Linear OA(960, large, F9, 7) (dual of [large, large−60, 8]-code) [i]
15Linear OA(961, large, F9, 7) (dual of [large, large−61, 8]-code) [i]
16Linear OA(962, large, F9, 7) (dual of [large, large−62, 8]-code) [i]
17Linear OA(963, large, F9, 7) (dual of [large, large−63, 8]-code) [i]
18Linear OA(966, large, F9, 7) (dual of [large, large−66, 8]-code) [i]
19Linear OA(967, large, F9, 7) (dual of [large, large−67, 8]-code) [i]
20Linear OA(968, large, F9, 7) (dual of [large, large−68, 8]-code) [i]
21Linear OA(969, large, F9, 7) (dual of [large, large−69, 8]-code) [i]
22Linear OA(970, large, F9, 7) (dual of [large, large−70, 8]-code) [i]
23Linear OA(971, large, F9, 7) (dual of [large, large−71, 8]-code) [i]
24Linear OA(972, large, F9, 7) (dual of [large, large−72, 8]-code) [i]
25Linear OA(974, large, F9, 7) (dual of [large, large−74, 8]-code) [i]
26Linear OA(975, large, F9, 7) (dual of [large, large−75, 8]-code) [i]
27Linear OA(976, large, F9, 7) (dual of [large, large−76, 8]-code) [i]
28Linear OA(977, large, F9, 7) (dual of [large, large−77, 8]-code) [i]
29Linear OA(978, large, F9, 7) (dual of [large, large−78, 8]-code) [i]
30Linear OA(979, large, F9, 7) (dual of [large, large−79, 8]-code) [i]
31Linear OA(980, large, F9, 7) (dual of [large, large−80, 8]-code) [i]
32Linear OA(982, large, F9, 7) (dual of [large, large−82, 8]-code) [i]
33Linear OA(983, large, F9, 7) (dual of [large, large−83, 8]-code) [i]
34Linear OA(984, large, F9, 7) (dual of [large, large−84, 8]-code) [i]
35Linear OA(985, large, F9, 7) (dual of [large, large−85, 8]-code) [i]
36Linear OA(986, large, F9, 7) (dual of [large, large−86, 8]-code) [i]
37Linear OA(987, large, F9, 7) (dual of [large, large−87, 8]-code) [i]
38Linear OA(988, large, F9, 7) (dual of [large, large−88, 8]-code) [i]
39Linear OA(990, large, F9, 7) (dual of [large, large−90, 8]-code) [i]
40Linear OA(991, large, F9, 7) (dual of [large, large−91, 8]-code) [i]
41Linear OA(992, large, F9, 7) (dual of [large, large−92, 8]-code) [i]
42Linear OA(993, large, F9, 7) (dual of [large, large−93, 8]-code) [i]
43Linear OA(994, large, F9, 7) (dual of [large, large−94, 8]-code) [i]
44Linear OA(995, large, F9, 7) (dual of [large, large−95, 8]-code) [i]
45Linear OA(996, large, F9, 7) (dual of [large, large−96, 8]-code) [i]
46Linear OA(998, large, F9, 7) (dual of [large, large−98, 8]-code) [i]
47Linear OA(999, large, F9, 7) (dual of [large, large−99, 8]-code) [i]
48Linear OA(9100, large, F9, 7) (dual of [large, large−100, 8]-code) [i]
49Linear OA(9101, large, F9, 7) (dual of [large, large−101, 8]-code) [i]
50Linear OA(9102, large, F9, 7) (dual of [large, large−102, 8]-code) [i]
51Linear OA(9103, large, F9, 7) (dual of [large, large−103, 8]-code) [i]
52Linear OA(9104, large, F9, 7) (dual of [large, large−104, 8]-code) [i]
53Linear OA(9106, large, F9, 7) (dual of [large, large−106, 8]-code) [i]
54Linear OA(9107, large, F9, 7) (dual of [large, large−107, 8]-code) [i]
55Linear OA(9108, large, F9, 7) (dual of [large, large−108, 8]-code) [i]
56Linear OA(9109, large, F9, 7) (dual of [large, large−109, 8]-code) [i]
57Linear OA(9110, large, F9, 7) (dual of [large, large−110, 8]-code) [i]
58Linear OA(9111, large, F9, 7) (dual of [large, large−111, 8]-code) [i]
59Linear OA(9112, large, F9, 7) (dual of [large, large−112, 8]-code) [i]
60Linear OA(9114, large, F9, 7) (dual of [large, large−114, 8]-code) [i]
61Linear OA(9115, large, F9, 7) (dual of [large, large−115, 8]-code) [i]
62Linear OA(9116, large, F9, 7) (dual of [large, large−116, 8]-code) [i]
63Linear OA(9117, large, F9, 7) (dual of [large, large−117, 8]-code) [i]
64Linear OA(9118, large, F9, 7) (dual of [large, large−118, 8]-code) [i]
65Linear OA(9119, large, F9, 7) (dual of [large, large−119, 8]-code) [i]
66Linear OA(9120, large, F9, 7) (dual of [large, large−120, 8]-code) [i]
67Linear OA(9122, large, F9, 7) (dual of [large, large−122, 8]-code) [i]
68Linear OA(9123, large, F9, 7) (dual of [large, large−123, 8]-code) [i]
69Linear OA(9124, large, F9, 7) (dual of [large, large−124, 8]-code) [i]
70Linear OA(9125, large, F9, 7) (dual of [large, large−125, 8]-code) [i]
71Linear OA(9126, large, F9, 7) (dual of [large, large−126, 8]-code) [i]
72Linear OA(9127, large, F9, 7) (dual of [large, large−127, 8]-code) [i]
73Linear OA(9130, large, F9, 7) (dual of [large, large−130, 8]-code) [i]
74Linear OA(9131, large, F9, 7) (dual of [large, large−131, 8]-code) [i]
75Linear OA(9132, large, F9, 7) (dual of [large, large−132, 8]-code) [i]
76Linear OA(9133, large, F9, 7) (dual of [large, large−133, 8]-code) [i]
77Linear OA(9134, large, F9, 7) (dual of [large, large−134, 8]-code) [i]
78Linear OA(9135, large, F9, 7) (dual of [large, large−135, 8]-code) [i]
79Linear OA(9136, large, F9, 7) (dual of [large, large−136, 8]-code) [i]
80Linear OA(9138, large, F9, 7) (dual of [large, large−138, 8]-code) [i]
81Linear OA(9139, large, F9, 7) (dual of [large, large−139, 8]-code) [i]
82Linear OA(9140, large, F9, 7) (dual of [large, large−140, 8]-code) [i]
83Linear OA(9141, large, F9, 7) (dual of [large, large−141, 8]-code) [i]
84Linear OA(9142, large, F9, 7) (dual of [large, large−142, 8]-code) [i]
85Linear OA(9143, large, F9, 7) (dual of [large, large−143, 8]-code) [i]
86Linear OA(9144, large, F9, 7) (dual of [large, large−144, 8]-code) [i]
87Linear OA(9146, large, F9, 7) (dual of [large, large−146, 8]-code) [i]
88Linear OA(9147, large, F9, 7) (dual of [large, large−147, 8]-code) [i]
89Linear OA(9148, large, F9, 7) (dual of [large, large−148, 8]-code) [i]
90Linear OA(9149, large, F9, 7) (dual of [large, large−149, 8]-code) [i]
91Linear OA(9150, large, F9, 7) (dual of [large, large−150, 8]-code) [i]
92Linear OOA(949, 4194301, F9, 2, 7) (dual of [(4194301, 2), 8388553, 8]-NRT-code) [i]OOA Folding
93Linear OOA(949, 2796201, F9, 3, 7) (dual of [(2796201, 3), 8388554, 8]-NRT-code) [i]
94Linear OOA(949, 2796200, F9, 7, 7) (dual of [(2796200, 7), 19573351, 8]-NRT-code) [i]OOA Folding and Stacking with Additional Row