Information on Result #618198

Linear OA(32101, large, F32, 21) (dual of [large, large−101, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, 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(32101, large, F32, 20) (dual of [large, large−101, 21]-code) [i]Strength Reduction
2Linear OA(32101, large, F32, 19) (dual of [large, large−101, 20]-code) [i]
3Linear OA(32101, large, F32, 18) (dual of [large, large−101, 19]-code) [i]
4Linear OA(32101, large, F32, 17) (dual of [large, large−101, 18]-code) [i]
5Linear OA(32101, large, F32, 16) (dual of [large, large−101, 17]-code) [i]
6Linear OA(32101, large, F32, 15) (dual of [large, large−101, 16]-code) [i]
7Linear OA(32101, large, F32, 14) (dual of [large, large−101, 15]-code) [i]
8Linear OA(32101, large, F32, 13) (dual of [large, large−101, 14]-code) [i]
9Linear OA(32101, large, F32, 12) (dual of [large, large−101, 13]-code) [i]
10Linear OA(32101, large, F32, 11) (dual of [large, large−101, 12]-code) [i]
11Linear OA(32101, large, F32, 10) (dual of [large, large−101, 11]-code) [i]
12Linear OA(32101, large, F32, 9) (dual of [large, large−101, 10]-code) [i]
13Linear OA(32101, large, F32, 8) (dual of [large, large−101, 9]-code) [i]
14Linear OA(32101, large, F32, 7) (dual of [large, large−101, 8]-code) [i]
15Linear OA(32101, large, F32, 6) (dual of [large, large−101, 7]-code) [i]
16Linear OA(32101, large, F32, 5) (dual of [large, large−101, 6]-code) [i]
17Linear OA(32101, large, F32, 4) (dual of [large, large−101, 5]-code) [i]
18Linear OA(32101, large, F32, 3) (dual of [large, large−101, 4]-code) [i]
19Linear OA(32102, large, F32, 21) (dual of [large, large−102, 22]-code) [i]Code Embedding in Larger Space
20Linear OA(32103, large, F32, 21) (dual of [large, large−103, 22]-code) [i]
21Linear OA(32104, large, F32, 21) (dual of [large, large−104, 22]-code) [i]
22Linear OA(32105, large, F32, 21) (dual of [large, large−105, 22]-code) [i]
23Linear OA(32107, large, F32, 21) (dual of [large, large−107, 22]-code) [i]
24Linear OA(32108, large, F32, 21) (dual of [large, large−108, 22]-code) [i]
25Linear OA(32109, large, F32, 21) (dual of [large, large−109, 22]-code) [i]
26Linear OA(32110, large, F32, 21) (dual of [large, large−110, 22]-code) [i]
27Linear OOA(32101, 4194301, F32, 2, 21) (dual of [(4194301, 2), 8388501, 22]-NRT-code) [i]OOA Folding
28Linear OOA(32101, 838860, F32, 21, 21) (dual of [(838860, 21), 17615959, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row