Information on Result #605211

Linear OA(851, 52, F8, 51) (dual of [52, 1, 52]-code or 52-arc in PG(50,8)), using dual of repetition code with length 52

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(851, 52, F8, 50) (dual of [52, 1, 51]-code) [i]Strength Reduction
2Linear OA(851, 52, F8, 49) (dual of [52, 1, 50]-code) [i]
3Linear OA(851, 52, F8, 48) (dual of [52, 1, 49]-code) [i]
4Linear OA(851, 52, F8, 47) (dual of [52, 1, 48]-code) [i]
5Linear OA(875, 90, F8, 51) (dual of [90, 15, 52]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(885, 122, F8, 51) (dual of [122, 37, 52]-code) [i]
7Linear OA(886, 126, F8, 51) (dual of [126, 40, 52]-code) [i]
8Linear OA(889, 139, F8, 51) (dual of [139, 50, 52]-code) [i]
9Linear OA(8169, 3166, F8, 51) (dual of [3166, 2997, 52]-code) [i]