Information on Result #730966

Linear OA(534, 781258, F5, 5) (dual of [781258, 781224, 6]-code), using trace code based on linear OA(2517, 390629, F25, 5) (dual of [390629, 390612, 6]-code), using

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(535, 781259, F5, 5) (dual of [781259, 781224, 6]-code) [i]Code Embedding in Larger Space
2Linear OOA(534, 781258, F5, 2, 5) (dual of [(781258, 2), 1562482, 6]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(534, 781258, F5, 3, 5) (dual of [(781258, 3), 2343740, 6]-NRT-code) [i]
4Digital (29, 34, 781258)-net over F5 [i]
5Linear OOA(534, 390629, F5, 2, 5) (dual of [(390629, 2), 781224, 6]-NRT-code) [i]OOA Folding
6Linear OOA(534, 390628, F5, 3, 5) (dual of [(390628, 3), 1171850, 6]-NRT-code) [i]OOA Folding and Stacking with Additional Row
7Linear OOA(534, 390628, F5, 5, 5) (dual of [(390628, 5), 1953106, 6]-NRT-code) [i]