Information on Result #615610

Linear OA(9105, large, F9, 15) (dual of [large, large−105, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16

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(9105, large, F9, 14) (dual of [large, large−105, 15]-code) [i]Strength Reduction
2Linear OA(9105, large, F9, 13) (dual of [large, large−105, 14]-code) [i]
3Linear OA(9105, large, F9, 12) (dual of [large, large−105, 13]-code) [i]
4Linear OA(9105, large, F9, 11) (dual of [large, large−105, 12]-code) [i]
5Linear OA(9105, large, F9, 10) (dual of [large, large−105, 11]-code) [i]
6Linear OA(9105, large, F9, 9) (dual of [large, large−105, 10]-code) [i]
7Linear OA(9105, large, F9, 8) (dual of [large, large−105, 9]-code) [i]
8Linear OA(9105, large, F9, 7) (dual of [large, large−105, 8]-code) [i]
9Linear OA(9105, large, F9, 6) (dual of [large, large−105, 7]-code) [i]
10Linear OA(9105, large, F9, 5) (dual of [large, large−105, 6]-code) [i]
11Linear OA(9105, large, F9, 4) (dual of [large, large−105, 5]-code) [i]
12Linear OA(9105, large, F9, 3) (dual of [large, large−105, 4]-code) [i]
13Linear OA(9106, large, F9, 15) (dual of [large, large−106, 16]-code) [i]Code Embedding in Larger Space
14Linear OA(9107, large, F9, 15) (dual of [large, large−107, 16]-code) [i]
15Linear OA(9108, large, F9, 15) (dual of [large, large−108, 16]-code) [i]
16Linear OA(9109, large, F9, 15) (dual of [large, large−109, 16]-code) [i]
17Linear OA(9110, large, F9, 15) (dual of [large, large−110, 16]-code) [i]
18Linear OA(9111, large, F9, 15) (dual of [large, large−111, 16]-code) [i]
19Linear OA(9112, large, F9, 15) (dual of [large, large−112, 16]-code) [i]
20Linear OA(9114, large, F9, 15) (dual of [large, large−114, 16]-code) [i]
21Linear OA(9115, large, F9, 15) (dual of [large, large−115, 16]-code) [i]
22Linear OA(9116, large, F9, 15) (dual of [large, large−116, 16]-code) [i]
23Linear OA(9117, large, F9, 15) (dual of [large, large−117, 16]-code) [i]
24Linear OA(9118, large, F9, 15) (dual of [large, large−118, 16]-code) [i]
25Linear OA(9119, large, F9, 15) (dual of [large, large−119, 16]-code) [i]
26Linear OA(9120, large, F9, 15) (dual of [large, large−120, 16]-code) [i]
27Linear OA(9122, large, F9, 15) (dual of [large, large−122, 16]-code) [i]
28Linear OA(9123, large, F9, 15) (dual of [large, large−123, 16]-code) [i]
29Linear OA(9124, large, F9, 15) (dual of [large, large−124, 16]-code) [i]
30Linear OA(9125, large, F9, 15) (dual of [large, large−125, 16]-code) [i]
31Linear OA(9126, large, F9, 15) (dual of [large, large−126, 16]-code) [i]
32Linear OA(9127, large, F9, 15) (dual of [large, large−127, 16]-code) [i]
33Linear OA(9130, large, F9, 15) (dual of [large, large−130, 16]-code) [i]
34Linear OA(9131, large, F9, 15) (dual of [large, large−131, 16]-code) [i]
35Linear OA(9132, large, F9, 15) (dual of [large, large−132, 16]-code) [i]
36Linear OA(9133, large, F9, 15) (dual of [large, large−133, 16]-code) [i]
37Linear OA(9134, large, F9, 15) (dual of [large, large−134, 16]-code) [i]
38Linear OA(9135, large, F9, 15) (dual of [large, large−135, 16]-code) [i]
39Linear OA(9136, large, F9, 15) (dual of [large, large−136, 16]-code) [i]
40Linear OA(9138, large, F9, 15) (dual of [large, large−138, 16]-code) [i]
41Linear OA(9139, large, F9, 15) (dual of [large, large−139, 16]-code) [i]
42Linear OA(9140, large, F9, 15) (dual of [large, large−140, 16]-code) [i]
43Linear OA(9141, large, F9, 15) (dual of [large, large−141, 16]-code) [i]
44Linear OA(9142, large, F9, 15) (dual of [large, large−142, 16]-code) [i]
45Linear OA(9143, large, F9, 15) (dual of [large, large−143, 16]-code) [i]
46Linear OA(9144, large, F9, 15) (dual of [large, large−144, 16]-code) [i]
47Linear OA(9146, large, F9, 15) (dual of [large, large−146, 16]-code) [i]
48Linear OA(9147, large, F9, 15) (dual of [large, large−147, 16]-code) [i]
49Linear OA(9148, large, F9, 15) (dual of [large, large−148, 16]-code) [i]
50Linear OA(9149, large, F9, 15) (dual of [large, large−149, 16]-code) [i]
51Linear OA(9150, large, F9, 15) (dual of [large, large−150, 16]-code) [i]
52Linear OOA(9105, 4194301, F9, 2, 15) (dual of [(4194301, 2), 8388497, 16]-NRT-code) [i]OOA Folding
53Linear OOA(9105, 2796201, F9, 3, 15) (dual of [(2796201, 3), 8388498, 16]-NRT-code) [i]
54Linear OOA(9105, 1198371, F9, 15, 15) (dual of [(1198371, 15), 17975460, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row