Information on Result #604942

Linear OA(544, 45, F5, 44) (dual of [45, 1, 45]-code or 45-arc in PG(43,5)), using dual of repetition code with length 45

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(544, 45, F5, 43) (dual of [45, 1, 44]-code) [i]Strength Reduction
2Linear OA(544, 45, F5, 42) (dual of [45, 1, 43]-code) [i]
3Linear OA(544, 45, F5, 41) (dual of [45, 1, 42]-code) [i]
4Linear OA(544, 45, F5, 40) (dual of [45, 1, 41]-code) [i]
5Linear OA(544, 45, F5, 39) (dual of [45, 1, 40]-code) [i]
6Linear OA(544, 45, F5, 38) (dual of [45, 1, 39]-code) [i]
7Linear OA(578, 101, F5, 44) (dual of [101, 23, 45]-code) [i]VarÅ¡amov–Edel Lengthening
8Linear OA(579, 104, F5, 44) (dual of [104, 25, 45]-code) [i]
9Linear OA(590, 145, F5, 44) (dual of [145, 55, 45]-code) [i]
10Linear OA(5105, 237, F5, 44) (dual of [237, 132, 45]-code) [i]
11Linear OA(5111, 291, F5, 44) (dual of [291, 180, 45]-code) [i]
12Linear OA(5113, 312, F5, 44) (dual of [312, 199, 45]-code) [i]
13Linear OA(5114, 323, F5, 44) (dual of [323, 209, 45]-code) [i]
14Linear OA(5122, 428, F5, 44) (dual of [428, 306, 45]-code) [i]
15Linear OA(5139, 789, F5, 44) (dual of [789, 650, 45]-code) [i]
16Linear OA(5143, 913, F5, 44) (dual of [913, 770, 45]-code) [i]
17Linear OA(5144, 947, F5, 44) (dual of [947, 803, 45]-code) [i]