Information on Result #2175310

Linear OA(220, 21, F2, 19) (dual of [21, 1, 20]-code), using strength reduction based on linear OA(220, 21, F2, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,2)), using

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(2173, 524309, F2, 19) (dual of [524309, 524136, 20]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
2Linear OA(2154, 524309, F2, 17) (dual of [524309, 524155, 18]-code) [i]
3Linear OA(2135, 524309, F2, 15) (dual of [524309, 524174, 16]-code) [i]
4Linear OA(2116, 524309, F2, 13) (dual of [524309, 524193, 14]-code) [i]
5Linear OA(297, 524309, F2, 11) (dual of [524309, 524212, 12]-code) [i]
6Linear OA(278, 524309, F2, 9) (dual of [524309, 524231, 10]-code) [i]
7Linear OA(259, 524309, F2, 7) (dual of [524309, 524250, 8]-code) [i]
8Linear OA(240, 524309, F2, 5) (dual of [524309, 524269, 6]-code) [i]
9OA(260, 1048597, S2, 7) [i]Construction X4 with Kerdock OAs
10OA(241, 1048597, S2, 5) [i]