Information on Result #615678

Linear OA(9128, large, F9, 18) (dual of [large, large−128, 19]-code), using the narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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(9128, large, F9, 17) (dual of [large, large−128, 18]-code) [i]Strength Reduction
2Linear OA(9128, large, F9, 16) (dual of [large, large−128, 17]-code) [i]
3Linear OA(9128, large, F9, 15) (dual of [large, large−128, 16]-code) [i]
4Linear OA(9128, large, F9, 14) (dual of [large, large−128, 15]-code) [i]
5Linear OA(9128, large, F9, 13) (dual of [large, large−128, 14]-code) [i]
6Linear OA(9128, large, F9, 12) (dual of [large, large−128, 13]-code) [i]
7Linear OA(9128, large, F9, 11) (dual of [large, large−128, 12]-code) [i]
8Linear OA(9128, large, F9, 10) (dual of [large, large−128, 11]-code) [i]
9Linear OA(9128, large, F9, 9) (dual of [large, large−128, 10]-code) [i]
10Linear OA(9128, large, F9, 8) (dual of [large, large−128, 9]-code) [i]
11Linear OA(9128, large, F9, 7) (dual of [large, large−128, 8]-code) [i]
12Linear OA(9128, large, F9, 6) (dual of [large, large−128, 7]-code) [i]
13Linear OA(9128, large, F9, 5) (dual of [large, large−128, 6]-code) [i]
14Linear OA(9128, large, F9, 4) (dual of [large, large−128, 5]-code) [i]
15Linear OA(9128, large, F9, 3) (dual of [large, large−128, 4]-code) [i]
16Linear OA(9130, large, F9, 18) (dual of [large, large−130, 19]-code) [i]Code Embedding in Larger Space
17Linear OA(9131, large, F9, 18) (dual of [large, large−131, 19]-code) [i]
18Linear OA(9132, large, F9, 18) (dual of [large, large−132, 19]-code) [i]
19Linear OA(9133, large, F9, 18) (dual of [large, large−133, 19]-code) [i]
20Linear OA(9134, large, F9, 18) (dual of [large, large−134, 19]-code) [i]
21Linear OA(9135, large, F9, 18) (dual of [large, large−135, 19]-code) [i]
22Linear OA(9136, large, F9, 18) (dual of [large, large−136, 19]-code) [i]
23Linear OA(9138, large, F9, 18) (dual of [large, large−138, 19]-code) [i]
24Linear OA(9139, large, F9, 18) (dual of [large, large−139, 19]-code) [i]
25Linear OA(9140, large, F9, 18) (dual of [large, large−140, 19]-code) [i]
26Linear OA(9141, large, F9, 18) (dual of [large, large−141, 19]-code) [i]
27Linear OA(9142, large, F9, 18) (dual of [large, large−142, 19]-code) [i]
28Linear OA(9143, large, F9, 18) (dual of [large, large−143, 19]-code) [i]
29Linear OA(9144, large, F9, 18) (dual of [large, large−144, 19]-code) [i]
30Linear OA(9146, large, F9, 18) (dual of [large, large−146, 19]-code) [i]
31Linear OA(9147, large, F9, 18) (dual of [large, large−147, 19]-code) [i]
32Linear OA(9148, large, F9, 18) (dual of [large, large−148, 19]-code) [i]
33Linear OA(9149, large, F9, 18) (dual of [large, large−149, 19]-code) [i]
34Linear OA(9150, large, F9, 18) (dual of [large, large−150, 19]-code) [i]
35Linear OOA(9128, 4194301, F9, 2, 18) (dual of [(4194301, 2), 8388474, 19]-NRT-code) [i]OOA Folding
36Linear OOA(9128, 2796201, F9, 3, 18) (dual of [(2796201, 3), 8388475, 19]-NRT-code) [i]
37Linear OOA(9128, 932067, F9, 18, 18) (dual of [(932067, 18), 16777078, 19]-NRT-code) [i]OA Folding and Stacking