Information on Result #604148

Linear OA(223, 24, F2, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,2)), using dual of repetition code with length 24

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(223, 24, F2, 22) (dual of [24, 1, 23]-code) [i]Strength Reduction
2Linear OA(223, 24, F2, 21) (dual of [24, 1, 22]-code) [i]
3Linear OA(223, 24, F2, 20) (dual of [24, 1, 21]-code) [i]
4Linear OA(223, 24, F2, 19) (dual of [24, 1, 20]-code) [i]
5Linear OA(223, 24, F2, 18) (dual of [24, 1, 19]-code) [i]
6Linear OA(223, 24, F2, 17) (dual of [24, 1, 18]-code) [i]
7Linear OA(223, 24, F2, 16) (dual of [24, 1, 17]-code) [i]
8Linear OA(2249, 1048, F2, 47) (dual of [1048, 799, 48]-code) [i](u, u+v)-Construction
9Linear OA(2233, 2097175, F2, 22) (dual of [2097175, 2096942, 23]-code) [i]Construction X4 with Cyclic Codes
10Linear OA(2244, 4194328, F2, 23) (dual of [4194328, 4194084, 24]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
11Linear OA(2222, 4194328, F2, 21) (dual of [4194328, 4194106, 22]-code) [i]
12Linear OA(2200, 4194328, F2, 19) (dual of [4194328, 4194128, 20]-code) [i]
13Linear OA(2178, 4194328, F2, 17) (dual of [4194328, 4194150, 18]-code) [i]
14Linear OA(2156, 4194328, F2, 15) (dual of [4194328, 4194172, 16]-code) [i]
15Linear OA(2134, 4194328, F2, 13) (dual of [4194328, 4194194, 14]-code) [i]
16Linear OA(2112, 4194328, F2, 11) (dual of [4194328, 4194216, 12]-code) [i]
17Linear OA(290, 4194328, F2, 9) (dual of [4194328, 4194238, 10]-code) [i]
18Linear OA(268, 4194328, F2, 7) (dual of [4194328, 4194260, 8]-code) [i]
19Linear OA(246, 4194328, F2, 5) (dual of [4194328, 4194282, 6]-code) [i]