Information on Result #618204

Linear OA(32106, large, F32, 22) (dual of [large, large−106, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23

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(32106, large, F32, 21) (dual of [large, large−106, 22]-code) [i]Strength Reduction
2Linear OA(32106, large, F32, 20) (dual of [large, large−106, 21]-code) [i]
3Linear OA(32106, large, F32, 19) (dual of [large, large−106, 20]-code) [i]
4Linear OA(32106, large, F32, 18) (dual of [large, large−106, 19]-code) [i]
5Linear OA(32106, large, F32, 17) (dual of [large, large−106, 18]-code) [i]
6Linear OA(32106, large, F32, 16) (dual of [large, large−106, 17]-code) [i]
7Linear OA(32106, large, F32, 15) (dual of [large, large−106, 16]-code) [i]
8Linear OA(32106, large, F32, 14) (dual of [large, large−106, 15]-code) [i]
9Linear OA(32106, large, F32, 13) (dual of [large, large−106, 14]-code) [i]
10Linear OA(32106, large, F32, 12) (dual of [large, large−106, 13]-code) [i]
11Linear OA(32106, large, F32, 11) (dual of [large, large−106, 12]-code) [i]
12Linear OA(32106, large, F32, 10) (dual of [large, large−106, 11]-code) [i]
13Linear OA(32106, large, F32, 9) (dual of [large, large−106, 10]-code) [i]
14Linear OA(32106, large, F32, 8) (dual of [large, large−106, 9]-code) [i]
15Linear OA(32106, large, F32, 7) (dual of [large, large−106, 8]-code) [i]
16Linear OA(32106, large, F32, 6) (dual of [large, large−106, 7]-code) [i]
17Linear OA(32106, large, F32, 5) (dual of [large, large−106, 6]-code) [i]
18Linear OA(32106, large, F32, 4) (dual of [large, large−106, 5]-code) [i]
19Linear OA(32106, large, F32, 3) (dual of [large, large−106, 4]-code) [i]
20Linear OA(32107, large, F32, 22) (dual of [large, large−107, 23]-code) [i]Code Embedding in Larger Space
21Linear OA(32108, large, F32, 22) (dual of [large, large−108, 23]-code) [i]
22Linear OA(32109, large, F32, 22) (dual of [large, large−109, 23]-code) [i]
23Linear OA(32110, large, F32, 22) (dual of [large, large−110, 23]-code) [i]
24Linear OOA(32106, 4194301, F32, 2, 22) (dual of [(4194301, 2), 8388496, 23]-NRT-code) [i]OOA Folding
25Linear OOA(32106, 762600, F32, 22, 22) (dual of [(762600, 22), 16777094, 23]-NRT-code) [i]OA Folding and Stacking