Information on Result #611335

Linear OA(2209, 8193, F2, 33) (dual of [8193, 7984, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2208, 8192, F2, 32) (dual of [8192, 7984, 33]-code) [i]Truncation
2Linear OA(2225, 8210, F2, 33) (dual of [8210, 7985, 34]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2236, 8220, F2, 35) (dual of [8220, 7984, 36]-code) [i]✔
4Linear OA(2238, 8197, F2, 37) (dual of [8197, 7959, 38]-code) [i]✔
5Linear OA(2239, 8201, F2, 37) (dual of [8201, 7962, 38]-code) [i]✔
6Linear OA(2240, 8209, F2, 37) (dual of [8209, 7969, 38]-code) [i]✔
7Linear OA(2241, 8225, F2, 37) (dual of [8225, 7984, 38]-code) [i]✔
8Linear OA(2210, 8220, F2, 31) (dual of [8220, 8010, 32]-code) [i]✔
9Linear OA(2212, 8197, F2, 33) (dual of [8197, 7985, 34]-code) [i]✔
10Linear OA(2213, 8201, F2, 33) (dual of [8201, 7988, 34]-code) [i]✔
11Linear OA(2214, 8209, F2, 33) (dual of [8209, 7995, 34]-code) [i]✔
12Linear OA(2215, 8225, F2, 33) (dual of [8225, 8010, 34]-code) [i]✔
13Linear OOA(2209, 2731, F2, 3, 33) (dual of [(2731, 3), 7984, 34]-NRT-code) [i]OOA Folding
14Linear OOA(2209, 512, F2, 33, 33) (dual of [(512, 33), 16687, 34]-NRT-code) [i]OOA Folding and Stacking with Additional Row