Information on Result #615711

Linear OA(9145, large, F9, 21) (dual of [large, large−145, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 21523361 | 916−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(9145, large, F9, 20) (dual of [large, large−145, 21]-code) [i]Strength Reduction
2Linear OA(9145, large, F9, 19) (dual of [large, large−145, 20]-code) [i]
3Linear OA(9145, large, F9, 18) (dual of [large, large−145, 19]-code) [i]
4Linear OA(9145, large, F9, 17) (dual of [large, large−145, 18]-code) [i]
5Linear OA(9145, large, F9, 16) (dual of [large, large−145, 17]-code) [i]
6Linear OA(9145, large, F9, 15) (dual of [large, large−145, 16]-code) [i]
7Linear OA(9145, large, F9, 14) (dual of [large, large−145, 15]-code) [i]
8Linear OA(9145, large, F9, 13) (dual of [large, large−145, 14]-code) [i]
9Linear OA(9145, large, F9, 12) (dual of [large, large−145, 13]-code) [i]
10Linear OA(9145, large, F9, 11) (dual of [large, large−145, 12]-code) [i]
11Linear OA(9145, large, F9, 10) (dual of [large, large−145, 11]-code) [i]
12Linear OA(9145, large, F9, 9) (dual of [large, large−145, 10]-code) [i]
13Linear OA(9145, large, F9, 8) (dual of [large, large−145, 9]-code) [i]
14Linear OA(9145, large, F9, 7) (dual of [large, large−145, 8]-code) [i]
15Linear OA(9145, large, F9, 6) (dual of [large, large−145, 7]-code) [i]
16Linear OA(9145, large, F9, 5) (dual of [large, large−145, 6]-code) [i]
17Linear OA(9145, large, F9, 4) (dual of [large, large−145, 5]-code) [i]
18Linear OA(9145, large, F9, 3) (dual of [large, large−145, 4]-code) [i]
19Linear OA(9146, large, F9, 21) (dual of [large, large−146, 22]-code) [i]Code Embedding in Larger Space
20Linear OA(9147, large, F9, 21) (dual of [large, large−147, 22]-code) [i]
21Linear OA(9148, large, F9, 21) (dual of [large, large−148, 22]-code) [i]
22Linear OA(9149, large, F9, 21) (dual of [large, large−149, 22]-code) [i]
23Linear OA(9150, large, F9, 21) (dual of [large, large−150, 22]-code) [i]
24Linear OOA(9145, 4194301, F9, 2, 21) (dual of [(4194301, 2), 8388457, 22]-NRT-code) [i]OOA Folding
25Linear OOA(9145, 2796201, F9, 3, 21) (dual of [(2796201, 3), 8388458, 22]-NRT-code) [i]
26Linear OOA(9145, 838860, F9, 21, 21) (dual of [(838860, 21), 17615915, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row