Information on Result #610960

Linear OA(277, 524289, F2, 9) (dual of [524289, 524212, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 524289 | 238−1, 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(276, 524288, F2, 8) (dual of [524288, 524212, 9]-code) [i]Truncation
2Linear OA(281, 524294, F2, 9) (dual of [524294, 524213, 10]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2118, 524293, F2, 13) (dual of [524293, 524175, 14]-code) [i]✔
4Linear OA(2119, 524297, F2, 13) (dual of [524297, 524178, 14]-code) [i]✔
5Linear OA(2120, 524305, F2, 13) (dual of [524305, 524185, 14]-code) [i]✔
6Linear OA(280, 524293, F2, 9) (dual of [524293, 524213, 10]-code) [i]✔
7Linear OOA(277, 174763, F2, 3, 9) (dual of [(174763, 3), 524212, 10]-NRT-code) [i]OOA Folding
8Linear OOA(277, 131072, F2, 5, 9) (dual of [(131072, 5), 655283, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row
9Linear OOA(277, 131072, F2, 6, 9) (dual of [(131072, 6), 786355, 10]-NRT-code) [i]
10Linear OOA(277, 131072, F2, 7, 9) (dual of [(131072, 7), 917427, 10]-NRT-code) [i]
11Linear OOA(277, 131072, F2, 8, 9) (dual of [(131072, 8), 1048499, 10]-NRT-code) [i]