Information on Result #604938

Linear OA(540, 41, F5, 40) (dual of [41, 1, 41]-code or 41-arc in PG(39,5)), using dual of repetition code with length 41

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(540, 41, F5, 39) (dual of [41, 1, 40]-code) [i]Strength Reduction
2Linear OA(540, 41, F5, 38) (dual of [41, 1, 39]-code) [i]
3Linear OA(540, 41, F5, 37) (dual of [41, 1, 38]-code) [i]
4Linear OA(540, 41, F5, 36) (dual of [41, 1, 37]-code) [i]
5Linear OA(540, 41, F5, 35) (dual of [41, 1, 36]-code) [i]
6Linear OA(576, 109, F5, 40) (dual of [109, 33, 41]-code) [i]VarÅ¡amov–Edel Lengthening
7Linear OA(5103, 290, F5, 40) (dual of [290, 187, 41]-code) [i]
8Linear OA(5115, 463, F5, 40) (dual of [463, 348, 41]-code) [i]
9Linear OA(5133, 951, F5, 40) (dual of [951, 818, 41]-code) [i]
10Linear OA(5144, 1486, F5, 40) (dual of [1486, 1342, 41]-code) [i]
11Linear OA(5149, 1822, F5, 40) (dual of [1822, 1673, 41]-code) [i]
12Linear OA(5150, 1898, F5, 40) (dual of [1898, 1748, 41]-code) [i]