Information on Result #604941

Linear OA(543, 44, F5, 43) (dual of [44, 1, 44]-code or 44-arc in PG(42,5)), using dual of repetition code with length 44

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(543, 44, F5, 42) (dual of [44, 1, 43]-code) [i]Strength Reduction
2Linear OA(543, 44, F5, 41) (dual of [44, 1, 42]-code) [i]
3Linear OA(543, 44, F5, 40) (dual of [44, 1, 41]-code) [i]
4Linear OA(543, 44, F5, 39) (dual of [44, 1, 40]-code) [i]
5Linear OA(543, 44, F5, 38) (dual of [44, 1, 39]-code) [i]
6Linear OA(543, 44, F5, 37) (dual of [44, 1, 38]-code) [i]
7Linear OA(577, 101, F5, 43) (dual of [101, 24, 44]-code) [i]VarÅ¡amov–Edel Lengthening
8Linear OA(581, 114, F5, 43) (dual of [114, 33, 44]-code) [i]
9Linear OA(592, 162, F5, 43) (dual of [162, 70, 44]-code) [i]
10Linear OA(595, 179, F5, 43) (dual of [179, 84, 44]-code) [i]
11Linear OA(599, 205, F5, 43) (dual of [205, 106, 44]-code) [i]
12Linear OA(5110, 301, F5, 43) (dual of [301, 191, 44]-code) [i]
13Linear OA(5111, 312, F5, 43) (dual of [312, 201, 44]-code) [i]
14Linear OA(5115, 360, F5, 43) (dual of [360, 245, 44]-code) [i]
15Linear OA(5117, 387, F5, 43) (dual of [387, 270, 44]-code) [i]
16Linear OA(5125, 518, F5, 43) (dual of [518, 393, 44]-code) [i]
17Linear OA(5130, 623, F5, 43) (dual of [623, 493, 44]-code) [i]
18Linear OA(5137, 808, F5, 43) (dual of [808, 671, 44]-code) [i]
19Linear OA(5142, 974, F5, 43) (dual of [974, 832, 44]-code) [i]
20Linear OA(5144, 1050, F5, 43) (dual of [1050, 906, 44]-code) [i]