Information on Result #610966

Linear OA(285, 2097153, F2, 9) (dual of [2097153, 2097068, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(284, 2097152, F2, 8) (dual of [2097152, 2097068, 9]-code) [i]Truncation
2Linear OA(289, 2097158, F2, 9) (dual of [2097158, 2097069, 10]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2130, 2097157, F2, 13) (dual of [2097157, 2097027, 14]-code) [i]✔
4Linear OA(2131, 2097161, F2, 13) (dual of [2097161, 2097030, 14]-code) [i]✔
5Linear OA(2132, 2097169, F2, 13) (dual of [2097169, 2097037, 14]-code) [i]✔
6Linear OA(288, 2097157, F2, 9) (dual of [2097157, 2097069, 10]-code) [i]✔
7Linear OOA(285, 699051, F2, 3, 9) (dual of [(699051, 3), 2097068, 10]-NRT-code) [i]OOA Folding
8Linear OOA(285, 524288, F2, 5, 9) (dual of [(524288, 5), 2621355, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row
9Linear OOA(285, 524288, F2, 6, 9) (dual of [(524288, 6), 3145643, 10]-NRT-code) [i]
10Linear OOA(285, 524288, F2, 7, 9) (dual of [(524288, 7), 3669931, 10]-NRT-code) [i]
11Linear OOA(285, 524288, F2, 8, 9) (dual of [(524288, 8), 4194219, 10]-NRT-code) [i]