Information on Result #615556

Linear OA(973, large, F9, 11) (dual of [large, large−73, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12

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(973, large, F9, 10) (dual of [large, large−73, 11]-code) [i]Strength Reduction
2Linear OA(973, large, F9, 9) (dual of [large, large−73, 10]-code) [i]
3Linear OA(973, large, F9, 8) (dual of [large, large−73, 9]-code) [i]
4Linear OA(973, large, F9, 7) (dual of [large, large−73, 8]-code) [i]
5Linear OA(973, large, F9, 6) (dual of [large, large−73, 7]-code) [i]
6Linear OA(973, large, F9, 5) (dual of [large, large−73, 6]-code) [i]
7Linear OA(973, large, F9, 4) (dual of [large, large−73, 5]-code) [i]
8Linear OA(973, large, F9, 3) (dual of [large, large−73, 4]-code) [i]
9Linear OA(974, large, F9, 11) (dual of [large, large−74, 12]-code) [i]Code Embedding in Larger Space
10Linear OA(975, large, F9, 11) (dual of [large, large−75, 12]-code) [i]
11Linear OA(976, large, F9, 11) (dual of [large, large−76, 12]-code) [i]
12Linear OA(977, large, F9, 11) (dual of [large, large−77, 12]-code) [i]
13Linear OA(978, large, F9, 11) (dual of [large, large−78, 12]-code) [i]
14Linear OA(979, large, F9, 11) (dual of [large, large−79, 12]-code) [i]
15Linear OA(980, large, F9, 11) (dual of [large, large−80, 12]-code) [i]
16Linear OA(982, large, F9, 11) (dual of [large, large−82, 12]-code) [i]
17Linear OA(983, large, F9, 11) (dual of [large, large−83, 12]-code) [i]
18Linear OA(984, large, F9, 11) (dual of [large, large−84, 12]-code) [i]
19Linear OA(985, large, F9, 11) (dual of [large, large−85, 12]-code) [i]
20Linear OA(986, large, F9, 11) (dual of [large, large−86, 12]-code) [i]
21Linear OA(987, large, F9, 11) (dual of [large, large−87, 12]-code) [i]
22Linear OA(988, large, F9, 11) (dual of [large, large−88, 12]-code) [i]
23Linear OA(990, large, F9, 11) (dual of [large, large−90, 12]-code) [i]
24Linear OA(991, large, F9, 11) (dual of [large, large−91, 12]-code) [i]
25Linear OA(992, large, F9, 11) (dual of [large, large−92, 12]-code) [i]
26Linear OA(993, large, F9, 11) (dual of [large, large−93, 12]-code) [i]
27Linear OA(994, large, F9, 11) (dual of [large, large−94, 12]-code) [i]
28Linear OA(995, large, F9, 11) (dual of [large, large−95, 12]-code) [i]
29Linear OA(996, large, F9, 11) (dual of [large, large−96, 12]-code) [i]
30Linear OA(998, large, F9, 11) (dual of [large, large−98, 12]-code) [i]
31Linear OA(999, large, F9, 11) (dual of [large, large−99, 12]-code) [i]
32Linear OA(9100, large, F9, 11) (dual of [large, large−100, 12]-code) [i]
33Linear OA(9101, large, F9, 11) (dual of [large, large−101, 12]-code) [i]
34Linear OA(9102, large, F9, 11) (dual of [large, large−102, 12]-code) [i]
35Linear OA(9103, large, F9, 11) (dual of [large, large−103, 12]-code) [i]
36Linear OA(9104, large, F9, 11) (dual of [large, large−104, 12]-code) [i]
37Linear OA(9106, large, F9, 11) (dual of [large, large−106, 12]-code) [i]
38Linear OA(9107, large, F9, 11) (dual of [large, large−107, 12]-code) [i]
39Linear OA(9108, large, F9, 11) (dual of [large, large−108, 12]-code) [i]
40Linear OA(9109, large, F9, 11) (dual of [large, large−109, 12]-code) [i]
41Linear OA(9110, large, F9, 11) (dual of [large, large−110, 12]-code) [i]
42Linear OA(9111, large, F9, 11) (dual of [large, large−111, 12]-code) [i]
43Linear OA(9112, large, F9, 11) (dual of [large, large−112, 12]-code) [i]
44Linear OA(9114, large, F9, 11) (dual of [large, large−114, 12]-code) [i]
45Linear OA(9115, large, F9, 11) (dual of [large, large−115, 12]-code) [i]
46Linear OA(9116, large, F9, 11) (dual of [large, large−116, 12]-code) [i]
47Linear OA(9117, large, F9, 11) (dual of [large, large−117, 12]-code) [i]
48Linear OA(9118, large, F9, 11) (dual of [large, large−118, 12]-code) [i]
49Linear OA(9119, large, F9, 11) (dual of [large, large−119, 12]-code) [i]
50Linear OA(9120, large, F9, 11) (dual of [large, large−120, 12]-code) [i]
51Linear OA(9122, large, F9, 11) (dual of [large, large−122, 12]-code) [i]
52Linear OA(9123, large, F9, 11) (dual of [large, large−123, 12]-code) [i]
53Linear OA(9124, large, F9, 11) (dual of [large, large−124, 12]-code) [i]
54Linear OA(9125, large, F9, 11) (dual of [large, large−125, 12]-code) [i]
55Linear OA(9126, large, F9, 11) (dual of [large, large−126, 12]-code) [i]
56Linear OA(9127, large, F9, 11) (dual of [large, large−127, 12]-code) [i]
57Linear OA(9130, large, F9, 11) (dual of [large, large−130, 12]-code) [i]
58Linear OA(9131, large, F9, 11) (dual of [large, large−131, 12]-code) [i]
59Linear OA(9132, large, F9, 11) (dual of [large, large−132, 12]-code) [i]
60Linear OA(9133, large, F9, 11) (dual of [large, large−133, 12]-code) [i]
61Linear OA(9134, large, F9, 11) (dual of [large, large−134, 12]-code) [i]
62Linear OA(9135, large, F9, 11) (dual of [large, large−135, 12]-code) [i]
63Linear OA(9136, large, F9, 11) (dual of [large, large−136, 12]-code) [i]
64Linear OA(9138, large, F9, 11) (dual of [large, large−138, 12]-code) [i]
65Linear OA(9139, large, F9, 11) (dual of [large, large−139, 12]-code) [i]
66Linear OA(9140, large, F9, 11) (dual of [large, large−140, 12]-code) [i]
67Linear OA(9141, large, F9, 11) (dual of [large, large−141, 12]-code) [i]
68Linear OA(9142, large, F9, 11) (dual of [large, large−142, 12]-code) [i]
69Linear OA(9143, large, F9, 11) (dual of [large, large−143, 12]-code) [i]
70Linear OA(9144, large, F9, 11) (dual of [large, large−144, 12]-code) [i]
71Linear OA(9146, large, F9, 11) (dual of [large, large−146, 12]-code) [i]
72Linear OA(9147, large, F9, 11) (dual of [large, large−147, 12]-code) [i]
73Linear OA(9148, large, F9, 11) (dual of [large, large−148, 12]-code) [i]
74Linear OA(9149, large, F9, 11) (dual of [large, large−149, 12]-code) [i]
75Linear OA(9150, large, F9, 11) (dual of [large, large−150, 12]-code) [i]
76Linear OOA(973, large, F9, 2, 11) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
77Linear OOA(973, large, F9, 3, 11) [i]
78Digital (62, 73, large)-net over F9 [i]
79Linear OOA(973, 4194301, F9, 2, 11) (dual of [(4194301, 2), 8388529, 12]-NRT-code) [i]OOA Folding
80Linear OOA(973, 2796201, F9, 3, 11) (dual of [(2796201, 3), 8388530, 12]-NRT-code) [i]
81Linear OOA(973, 1677720, F9, 11, 11) (dual of [(1677720, 11), 18454847, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row