Information on Result #658957

Linear OA(511, 600, F5, 4) (dual of [600, 589, 5]-code), using base reduction for projective spaces (embedding PG(5,25) in PG(10,5)) based on linear OA(256, 600, F25, 4) (dual of [600, 594, 5]-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 OOA(511, 600, F5, 2, 4) (dual of [(600, 2), 1189, 5]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(511, 600, F5, 3, 4) (dual of [(600, 3), 1789, 5]-NRT-code) [i]
3Linear OA(517, 4157, F5, 4) (dual of [4157, 4140, 5]-code) [i]VarÅ¡amov–Edel Lengthening
4Linear OA(518, 7101, F5, 4) (dual of [7101, 7083, 5]-code) [i]
5Linear OOA(511, 300, F5, 2, 4) (dual of [(300, 2), 589, 5]-NRT-code) [i]OOA Folding
6Linear OOA(511, 300, F5, 3, 4) (dual of [(300, 3), 889, 5]-NRT-code) [i]OA Folding and Stacking