Information on Result #615636

Linear OA(9121, large, F9, 17) (dual of [large, large−121, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18

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(9121, large, F9, 16) (dual of [large, large−121, 17]-code) [i]Strength Reduction
2Linear OA(9121, large, F9, 15) (dual of [large, large−121, 16]-code) [i]
3Linear OA(9121, large, F9, 14) (dual of [large, large−121, 15]-code) [i]
4Linear OA(9121, large, F9, 13) (dual of [large, large−121, 14]-code) [i]
5Linear OA(9121, large, F9, 12) (dual of [large, large−121, 13]-code) [i]
6Linear OA(9121, large, F9, 11) (dual of [large, large−121, 12]-code) [i]
7Linear OA(9121, large, F9, 10) (dual of [large, large−121, 11]-code) [i]
8Linear OA(9121, large, F9, 9) (dual of [large, large−121, 10]-code) [i]
9Linear OA(9121, large, F9, 8) (dual of [large, large−121, 9]-code) [i]
10Linear OA(9121, large, F9, 7) (dual of [large, large−121, 8]-code) [i]
11Linear OA(9121, large, F9, 6) (dual of [large, large−121, 7]-code) [i]
12Linear OA(9121, large, F9, 5) (dual of [large, large−121, 6]-code) [i]
13Linear OA(9121, large, F9, 4) (dual of [large, large−121, 5]-code) [i]
14Linear OA(9121, large, F9, 3) (dual of [large, large−121, 4]-code) [i]
15Linear OA(9122, large, F9, 17) (dual of [large, large−122, 18]-code) [i]Code Embedding in Larger Space
16Linear OA(9123, large, F9, 17) (dual of [large, large−123, 18]-code) [i]
17Linear OA(9124, large, F9, 17) (dual of [large, large−124, 18]-code) [i]
18Linear OA(9125, large, F9, 17) (dual of [large, large−125, 18]-code) [i]
19Linear OA(9126, large, F9, 17) (dual of [large, large−126, 18]-code) [i]
20Linear OA(9127, large, F9, 17) (dual of [large, large−127, 18]-code) [i]
21Linear OA(9130, large, F9, 17) (dual of [large, large−130, 18]-code) [i]
22Linear OA(9131, large, F9, 17) (dual of [large, large−131, 18]-code) [i]
23Linear OA(9132, large, F9, 17) (dual of [large, large−132, 18]-code) [i]
24Linear OA(9133, large, F9, 17) (dual of [large, large−133, 18]-code) [i]
25Linear OA(9134, large, F9, 17) (dual of [large, large−134, 18]-code) [i]
26Linear OA(9135, large, F9, 17) (dual of [large, large−135, 18]-code) [i]
27Linear OA(9136, large, F9, 17) (dual of [large, large−136, 18]-code) [i]
28Linear OA(9138, large, F9, 17) (dual of [large, large−138, 18]-code) [i]
29Linear OA(9139, large, F9, 17) (dual of [large, large−139, 18]-code) [i]
30Linear OA(9140, large, F9, 17) (dual of [large, large−140, 18]-code) [i]
31Linear OA(9141, large, F9, 17) (dual of [large, large−141, 18]-code) [i]
32Linear OA(9142, large, F9, 17) (dual of [large, large−142, 18]-code) [i]
33Linear OA(9143, large, F9, 17) (dual of [large, large−143, 18]-code) [i]
34Linear OA(9144, large, F9, 17) (dual of [large, large−144, 18]-code) [i]
35Linear OA(9146, large, F9, 17) (dual of [large, large−146, 18]-code) [i]
36Linear OA(9147, large, F9, 17) (dual of [large, large−147, 18]-code) [i]
37Linear OA(9148, large, F9, 17) (dual of [large, large−148, 18]-code) [i]
38Linear OA(9149, large, F9, 17) (dual of [large, large−149, 18]-code) [i]
39Linear OA(9150, large, F9, 17) (dual of [large, large−150, 18]-code) [i]
40Linear OOA(9121, 4194301, F9, 2, 17) (dual of [(4194301, 2), 8388481, 18]-NRT-code) [i]OOA Folding
41Linear OOA(9121, 2796201, F9, 3, 17) (dual of [(2796201, 3), 8388482, 18]-NRT-code) [i]
42Linear OOA(9121, 1048575, F9, 17, 17) (dual of [(1048575, 17), 17825654, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row