Information on Result #604144

Linear OA(219, 20, F2, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,2)), using dual of repetition code with length 20

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(219, 20, F2, 18) (dual of [20, 1, 19]-code) [i]Strength Reduction
2Linear OA(219, 20, F2, 17) (dual of [20, 1, 18]-code) [i]
3Linear OA(219, 20, F2, 16) (dual of [20, 1, 17]-code) [i]
4Linear OA(219, 20, F2, 15) (dual of [20, 1, 16]-code) [i]
5Linear OA(219, 20, F2, 14) (dual of [20, 1, 15]-code) [i]
6Linear OA(2182, 532, F2, 39) (dual of [532, 350, 40]-code) [i](u, u+v)-Construction
7Linear OA(2205, 1044, F2, 39) (dual of [1044, 839, 40]-code) [i]
8Linear OA(2236, 261, F2, 69) (dual of [261, 25, 70]-code) [i]Construction X with Cyclic Codes
9Linear OA(2155, 131091, F2, 18) (dual of [131091, 130936, 19]-code) [i]Construction X4 with Cyclic Codes
10Linear OA(2164, 262164, F2, 19) (dual of [262164, 262000, 20]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
11Linear OA(2146, 262164, F2, 17) (dual of [262164, 262018, 18]-code) [i]
12Linear OA(2128, 262164, F2, 15) (dual of [262164, 262036, 16]-code) [i]
13Linear OA(2110, 262164, F2, 13) (dual of [262164, 262054, 14]-code) [i]
14Linear OA(292, 262164, F2, 11) (dual of [262164, 262072, 12]-code) [i]
15Linear OA(274, 262164, F2, 9) (dual of [262164, 262090, 10]-code) [i]
16Linear OA(256, 262164, F2, 7) (dual of [262164, 262108, 8]-code) [i]
17Linear OA(238, 262164, F2, 5) (dual of [262164, 262126, 6]-code) [i]