Information on Result #618177

Linear OA(3291, large, F32, 19) (dual of [large, large−91, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(3291, large, F32, 18) (dual of [large, large−91, 19]-code) [i]Strength Reduction
2Linear OA(3291, large, F32, 17) (dual of [large, large−91, 18]-code) [i]
3Linear OA(3291, large, F32, 16) (dual of [large, large−91, 17]-code) [i]
4Linear OA(3291, large, F32, 15) (dual of [large, large−91, 16]-code) [i]
5Linear OA(3291, large, F32, 14) (dual of [large, large−91, 15]-code) [i]
6Linear OA(3291, large, F32, 13) (dual of [large, large−91, 14]-code) [i]
7Linear OA(3291, large, F32, 12) (dual of [large, large−91, 13]-code) [i]
8Linear OA(3291, large, F32, 11) (dual of [large, large−91, 12]-code) [i]
9Linear OA(3291, large, F32, 10) (dual of [large, large−91, 11]-code) [i]
10Linear OA(3291, large, F32, 9) (dual of [large, large−91, 10]-code) [i]
11Linear OA(3291, large, F32, 8) (dual of [large, large−91, 9]-code) [i]
12Linear OA(3291, large, F32, 7) (dual of [large, large−91, 8]-code) [i]
13Linear OA(3291, large, F32, 6) (dual of [large, large−91, 7]-code) [i]
14Linear OA(3291, large, F32, 5) (dual of [large, large−91, 6]-code) [i]
15Linear OA(3291, large, F32, 4) (dual of [large, large−91, 5]-code) [i]
16Linear OA(3291, large, F32, 3) (dual of [large, large−91, 4]-code) [i]
17Linear OA(3292, large, F32, 19) (dual of [large, large−92, 20]-code) [i]Code Embedding in Larger Space
18Linear OA(3293, large, F32, 19) (dual of [large, large−93, 20]-code) [i]
19Linear OA(3294, large, F32, 19) (dual of [large, large−94, 20]-code) [i]
20Linear OA(3295, large, F32, 19) (dual of [large, large−95, 20]-code) [i]
21Linear OA(3297, large, F32, 19) (dual of [large, large−97, 20]-code) [i]
22Linear OA(3298, large, F32, 19) (dual of [large, large−98, 20]-code) [i]
23Linear OA(3299, large, F32, 19) (dual of [large, large−99, 20]-code) [i]
24Linear OA(32100, large, F32, 19) (dual of [large, large−100, 20]-code) [i]
25Linear OA(32102, large, F32, 19) (dual of [large, large−102, 20]-code) [i]
26Linear OA(32103, large, F32, 19) (dual of [large, large−103, 20]-code) [i]
27Linear OA(32104, large, F32, 19) (dual of [large, large−104, 20]-code) [i]
28Linear OA(32105, large, F32, 19) (dual of [large, large−105, 20]-code) [i]
29Linear OA(32107, large, F32, 19) (dual of [large, large−107, 20]-code) [i]
30Linear OA(32108, large, F32, 19) (dual of [large, large−108, 20]-code) [i]
31Linear OA(32109, large, F32, 19) (dual of [large, large−109, 20]-code) [i]
32Linear OA(32110, large, F32, 19) (dual of [large, large−110, 20]-code) [i]
33Linear OOA(3291, 4194301, F32, 2, 19) (dual of [(4194301, 2), 8388511, 20]-NRT-code) [i]OOA Folding
34Linear OOA(3291, 932066, F32, 19, 19) (dual of [(932066, 19), 17709163, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row