Information on Result #604937

Linear OA(539, 40, F5, 39) (dual of [40, 1, 40]-code or 40-arc in PG(38,5)), using dual of repetition code with length 40

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(539, 40, F5, 38) (dual of [40, 1, 39]-code) [i]Strength Reduction
2Linear OA(539, 40, F5, 37) (dual of [40, 1, 38]-code) [i]
3Linear OA(539, 40, F5, 36) (dual of [40, 1, 37]-code) [i]
4Linear OA(539, 40, F5, 35) (dual of [40, 1, 36]-code) [i]
5Linear OA(539, 40, F5, 34) (dual of [40, 1, 35]-code) [i]
6Linear OA(568, 87, F5, 39) (dual of [87, 19, 40]-code) [i]VarÅ¡amov–Edel Lengthening
7Linear OA(569, 90, F5, 39) (dual of [90, 21, 40]-code) [i]
8Linear OA(570, 93, F5, 39) (dual of [93, 23, 40]-code) [i]
9Linear OA(571, 96, F5, 39) (dual of [96, 25, 40]-code) [i]
10Linear OA(575, 110, F5, 39) (dual of [110, 35, 40]-code) [i]
11Linear OA(576, 114, F5, 39) (dual of [114, 38, 40]-code) [i]
12Linear OA(583, 146, F5, 39) (dual of [146, 63, 40]-code) [i]
13Linear OA(598, 258, F5, 39) (dual of [258, 160, 40]-code) [i]
14Linear OA(5100, 279, F5, 39) (dual of [279, 179, 40]-code) [i]
15Linear OA(5102, 302, F5, 39) (dual of [302, 200, 40]-code) [i]
16Linear OA(5104, 327, F5, 39) (dual of [327, 223, 40]-code) [i]
17Linear OA(5106, 354, F5, 39) (dual of [354, 248, 40]-code) [i]
18Linear OA(5114, 489, F5, 39) (dual of [489, 375, 40]-code) [i]
19Linear OA(5130, 944, F5, 39) (dual of [944, 814, 40]-code) [i]
20Linear OA(5131, 984, F5, 39) (dual of [984, 853, 40]-code) [i]
21Linear OA(5135, 1162, F5, 39) (dual of [1162, 1027, 40]-code) [i]
22Linear OA(5137, 1263, F5, 39) (dual of [1263, 1126, 40]-code) [i]
23Linear OA(5138, 1317, F5, 39) (dual of [1317, 1179, 40]-code) [i]
24Linear OA(5139, 1373, F5, 39) (dual of [1373, 1234, 40]-code) [i]
25Linear OA(5147, 1919, F5, 39) (dual of [1919, 1772, 40]-code) [i]