Information on Result #619777

Linear OA(25617, 65537, F256, 9) (dual of [65537, 65520, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, 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(1634, 131074, F16, 9) (dual of [131074, 131040, 10]-code) [i]Trace Code
2Linear OA(25654, 131074, F256, 19) (dual of [131074, 131020, 20]-code) [i](u, u+v)-Construction
3Linear OA(25621, 65794, F256, 9) (dual of [65794, 65773, 10]-code) [i]
4Linear OA(25622, 65797, F256, 9) (dual of [65797, 65775, 10]-code) [i]
5Linear OA(25623, 130817, F256, 9) (dual of [130817, 130794, 10]-code) [i]
6Linear OA(25624, 131073, F256, 9) (dual of [131073, 131049, 10]-code) [i]
7Linear OA(25624, 66051, F256, 9) (dual of [66051, 66027, 10]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(25621, 65542, F256, 9) (dual of [65542, 65521, 10]-code) [i]✔Construction X with Cyclic Codes
9Linear OA(25622, 65542, F256, 11) (dual of [65542, 65520, 12]-code) [i]✔
10Linear OA(25618, 65542, F256, 9) (dual of [65542, 65524, 10]-code) [i]✔
11Linear OA(25628, 65548, F256, 13) (dual of [65548, 65520, 14]-code) [i]✔
12Linear OA(25620, 65548, F256, 9) (dual of [65548, 65528, 10]-code) [i]✔
13Linear OA(25634, 65554, F256, 15) (dual of [65554, 65520, 16]-code) [i]✔
14Linear OA(25640, 65560, F256, 17) (dual of [65560, 65520, 18]-code) [i]✔
15Linear OOA(25617, 16384, F256, 5, 9) (dual of [(16384, 5), 81903, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row
16Linear OOA(25617, 16384, F256, 6, 9) (dual of [(16384, 6), 98287, 10]-NRT-code) [i]
17Linear OOA(25617, 16384, F256, 9, 9) (dual of [(16384, 9), 147439, 10]-NRT-code) [i]