Information on Result #621601

Linear OA(25619, 1285, F256, 11) (dual of [1285, 1266, 12]-code), using the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,155,309,…,256}, and designed minimum distance d ≥ |I|+1 = 12

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(25620, 1286, F256, 11) (dual of [1286, 1266, 12]-code) [i]Code Embedding in Larger Space
2Linear OA(25664, 66822, F256, 23) (dual of [66822, 66758, 24]-code) [i](u, u+v)-Construction
3Linear OA(25662, 66821, F256, 22) (dual of [66821, 66759, 23]-code) [i]
4Linear OA(25664, 66823, F256, 23) (dual of [66823, 66759, 24]-code) [i]
5Linear OA(25665, 66827, F256, 23) (dual of [66827, 66762, 24]-code) [i]
6Linear OA(25662, 66823, F256, 22) (dual of [66823, 66761, 23]-code) [i]
7Linear OA(25663, 66826, F256, 22) (dual of [66826, 66763, 23]-code) [i]
8Linear OOA(25619, 1062, F256, 2, 11) (dual of [(1062, 2), 2105, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
9Linear OOA(25619, 1062, F256, 3, 11) (dual of [(1062, 3), 3167, 12]-NRT-code) [i]
10Linear OOA(25619, 1062, F256, 4, 11) (dual of [(1062, 4), 4229, 12]-NRT-code) [i]
11Linear OOA(25619, 1062, F256, 5, 11) (dual of [(1062, 5), 5291, 12]-NRT-code) [i]
12Linear OOA(25619, 1062, F256, 6, 11) (dual of [(1062, 6), 6353, 12]-NRT-code) [i]
13Digital (8, 19, 1062)-net over F256 [i]
14Linear OA(25620, 1328, F256, 11) (dual of [1328, 1308, 12]-code) [i]VarÅ¡amov–Edel Lengthening
15Linear OA(25620, 1287, F256, 11) (dual of [1287, 1267, 12]-code) [i]Construction X with VarÅ¡amov Bound
16Linear OOA(25619, 642, F256, 2, 11) (dual of [(642, 2), 1265, 12]-NRT-code) [i]OOA Folding
17Linear OOA(25619, 428, F256, 3, 11) (dual of [(428, 3), 1265, 12]-NRT-code) [i]