Information on Result #604940

Linear OA(542, 43, F5, 42) (dual of [43, 1, 43]-code or 43-arc in PG(41,5)), using dual of repetition code with length 43

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(542, 43, F5, 41) (dual of [43, 1, 42]-code) [i]Strength Reduction
2Linear OA(542, 43, F5, 40) (dual of [43, 1, 41]-code) [i]
3Linear OA(542, 43, F5, 39) (dual of [43, 1, 40]-code) [i]
4Linear OA(542, 43, F5, 38) (dual of [43, 1, 39]-code) [i]
5Linear OA(542, 43, F5, 37) (dual of [43, 1, 38]-code) [i]
6Linear OA(542, 43, F5, 36) (dual of [43, 1, 37]-code) [i]
7Linear OA(588, 149, F5, 42) (dual of [149, 61, 43]-code) [i]VarÅ¡amov–Edel Lengthening
8Linear OA(596, 196, F5, 42) (dual of [196, 100, 43]-code) [i]
9Linear OA(597, 203, F5, 42) (dual of [203, 106, 43]-code) [i]
10Linear OA(5108, 301, F5, 42) (dual of [301, 193, 43]-code) [i]
11Linear OA(5119, 452, F5, 42) (dual of [452, 333, 43]-code) [i]
12Linear OA(5122, 506, F5, 42) (dual of [506, 384, 43]-code) [i]
13Linear OA(5127, 611, F5, 42) (dual of [611, 484, 43]-code) [i]
14Linear OA(5132, 739, F5, 42) (dual of [739, 607, 43]-code) [i]
15Linear OA(5140, 1004, F5, 42) (dual of [1004, 864, 43]-code) [i]
16Linear OA(5146, 1265, F5, 42) (dual of [1265, 1119, 43]-code) [i]