Information on Result #604939

Linear OA(541, 42, F5, 41) (dual of [42, 1, 42]-code or 42-arc in PG(40,5)), using dual of repetition code with length 42

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(541, 42, F5, 40) (dual of [42, 1, 41]-code) [i]Strength Reduction
2Linear OA(541, 42, F5, 39) (dual of [42, 1, 40]-code) [i]
3Linear OA(541, 42, F5, 38) (dual of [42, 1, 39]-code) [i]
4Linear OA(541, 42, F5, 37) (dual of [42, 1, 38]-code) [i]
5Linear OA(541, 42, F5, 36) (dual of [42, 1, 37]-code) [i]
6Linear OA(541, 42, F5, 35) (dual of [42, 1, 36]-code) [i]
7Linear OA(578, 112, F5, 41) (dual of [112, 34, 42]-code) [i]VarÅ¡amov–Edel Lengthening
8Linear OA(593, 187, F5, 41) (dual of [187, 94, 42]-code) [i]
9Linear OA(597, 216, F5, 41) (dual of [216, 119, 42]-code) [i]
10Linear OA(598, 224, F5, 41) (dual of [224, 126, 42]-code) [i]
11Linear OA(5100, 241, F5, 41) (dual of [241, 141, 42]-code) [i]
12Linear OA(5101, 250, F5, 41) (dual of [250, 149, 42]-code) [i]
13Linear OA(5105, 290, F5, 41) (dual of [290, 185, 42]-code) [i]
14Linear OA(5109, 337, F5, 41) (dual of [337, 228, 42]-code) [i]
15Linear OA(5110, 350, F5, 41) (dual of [350, 240, 42]-code) [i]
16Linear OA(5116, 440, F5, 41) (dual of [440, 324, 42]-code) [i]
17Linear OA(5125, 623, F5, 41) (dual of [623, 498, 42]-code) [i]
18Linear OA(5132, 819, F5, 41) (dual of [819, 687, 42]-code) [i]
19Linear OA(5137, 997, F5, 41) (dual of [997, 860, 42]-code) [i]
20Linear OA(5138, 1037, F5, 41) (dual of [1037, 899, 42]-code) [i]
21Linear OA(5149, 1603, F5, 41) (dual of [1603, 1454, 42]-code) [i]
22Linear OA(5150, 1668, F5, 41) (dual of [1668, 1518, 42]-code) [i]