Information on Result #618183

Linear OA(3296, large, F32, 20) (dual of [large, large−96, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21

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(3296, large, F32, 19) (dual of [large, large−96, 20]-code) [i]Strength Reduction
2Linear OA(3296, large, F32, 18) (dual of [large, large−96, 19]-code) [i]
3Linear OA(3296, large, F32, 17) (dual of [large, large−96, 18]-code) [i]
4Linear OA(3296, large, F32, 16) (dual of [large, large−96, 17]-code) [i]
5Linear OA(3296, large, F32, 15) (dual of [large, large−96, 16]-code) [i]
6Linear OA(3296, large, F32, 14) (dual of [large, large−96, 15]-code) [i]
7Linear OA(3296, large, F32, 13) (dual of [large, large−96, 14]-code) [i]
8Linear OA(3296, large, F32, 12) (dual of [large, large−96, 13]-code) [i]
9Linear OA(3296, large, F32, 11) (dual of [large, large−96, 12]-code) [i]
10Linear OA(3296, large, F32, 10) (dual of [large, large−96, 11]-code) [i]
11Linear OA(3296, large, F32, 9) (dual of [large, large−96, 10]-code) [i]
12Linear OA(3296, large, F32, 8) (dual of [large, large−96, 9]-code) [i]
13Linear OA(3296, large, F32, 7) (dual of [large, large−96, 8]-code) [i]
14Linear OA(3296, large, F32, 6) (dual of [large, large−96, 7]-code) [i]
15Linear OA(3296, large, F32, 5) (dual of [large, large−96, 6]-code) [i]
16Linear OA(3296, large, F32, 4) (dual of [large, large−96, 5]-code) [i]
17Linear OA(3296, large, F32, 3) (dual of [large, large−96, 4]-code) [i]
18Linear OA(3297, large, F32, 20) (dual of [large, large−97, 21]-code) [i]Code Embedding in Larger Space
19Linear OA(3298, large, F32, 20) (dual of [large, large−98, 21]-code) [i]
20Linear OA(3299, large, F32, 20) (dual of [large, large−99, 21]-code) [i]
21Linear OA(32100, large, F32, 20) (dual of [large, large−100, 21]-code) [i]
22Linear OA(32102, large, F32, 20) (dual of [large, large−102, 21]-code) [i]
23Linear OA(32103, large, F32, 20) (dual of [large, large−103, 21]-code) [i]
24Linear OA(32104, large, F32, 20) (dual of [large, large−104, 21]-code) [i]
25Linear OA(32105, large, F32, 20) (dual of [large, large−105, 21]-code) [i]
26Linear OA(32107, large, F32, 20) (dual of [large, large−107, 21]-code) [i]
27Linear OA(32108, large, F32, 20) (dual of [large, large−108, 21]-code) [i]
28Linear OA(32109, large, F32, 20) (dual of [large, large−109, 21]-code) [i]
29Linear OA(32110, large, F32, 20) (dual of [large, large−110, 21]-code) [i]
30Linear OOA(3296, 4194301, F32, 2, 20) (dual of [(4194301, 2), 8388506, 21]-NRT-code) [i]OOA Folding
31Linear OOA(3296, 838860, F32, 20, 20) (dual of [(838860, 20), 16777104, 21]-NRT-code) [i]OA Folding and Stacking