Information on Result #604135

Linear OA(210, 11, F2, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,2)), using dual of repetition code with length 11

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(210, 11, F2, 9) (dual of [11, 1, 10]-code) [i]Strength Reduction
2Linear OA(210, 11, F2, 8) (dual of [11, 1, 9]-code) [i]
3Linear OA(287, 267, F2, 21) (dual of [267, 180, 22]-code) [i](u, u+v)-Construction
4Linear OA(2121, 2060, F2, 21) (dual of [2060, 1939, 22]-code) [i]Construction X with Cyclic Codes
5Linear OA(2131, 4108, F2, 21) (dual of [4108, 3977, 22]-code) [i]
6Linear OA(2141, 8204, F2, 21) (dual of [8204, 8063, 22]-code) [i]
7Linear OA(2151, 16396, F2, 21) (dual of [16396, 16245, 22]-code) [i]
8Linear OA(2161, 32780, F2, 21) (dual of [32780, 32619, 22]-code) [i]
9Linear OA(2171, 65548, F2, 21) (dual of [65548, 65377, 22]-code) [i]
10Linear OA(2181, 131084, F2, 21) (dual of [131084, 130903, 22]-code) [i]
11Linear OA(2191, 262156, F2, 21) (dual of [262156, 261965, 22]-code) [i]
12Linear OA(2201, 524300, F2, 21) (dual of [524300, 524099, 22]-code) [i]
13Linear OA(2211, 1048588, F2, 21) (dual of [1048588, 1048377, 22]-code) [i]
14Linear OA(2221, 2097164, F2, 21) (dual of [2097164, 2096943, 22]-code) [i]
15Linear OA(2231, 4194316, F2, 21) (dual of [4194316, 4194085, 22]-code) [i]
16Linear OA(2119, 524, F2, 25) (dual of [524, 405, 26]-code) [i]
17Linear OA(2131, 1036, F2, 25) (dual of [1036, 905, 26]-code) [i]
18Linear OA(2109, 140, F2, 37) (dual of [140, 31, 38]-code) [i]
19Linear OA(2113, 128, F2, 41) (dual of [128, 15, 42]-code) [i]
20Linear OA(2182, 211, F2, 70) (dual of [211, 29, 71]-code) [i]Construction X with VarÅ¡amov Bound