Information on Result #801569

Linear OA(216, 42, F2, 6) (dual of [42, 26, 7]-code), using extracting embedded orthogonal array based on digital (10, 16, 42)-net over F2, 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(217, 43, F2, 7) (dual of [43, 26, 8]-code) [i]Adding a Parity Check Bit
2Linear OA(2142, 299, F2, 34) (dual of [299, 157, 35]-code) [i]Construction XX with Cyclic Codes
3Linear OA(2174, 303, F2, 46) (dual of [303, 129, 47]-code) [i]
4Linear OA(2174, 564, F2, 36) (dual of [564, 390, 37]-code) [i]
5Linear OA(2171, 560, F2, 36) (dual of [560, 389, 37]-code) [i]
6Linear OA(2183, 564, F2, 38) (dual of [564, 381, 39]-code) [i]
7Linear OA(2180, 560, F2, 38) (dual of [560, 380, 39]-code) [i]
8Linear OA(2192, 564, F2, 40) (dual of [564, 372, 41]-code) [i]
9Linear OA(2189, 560, F2, 40) (dual of [560, 371, 41]-code) [i]
10Linear OA(2194, 574, F2, 40) (dual of [574, 380, 41]-code) [i]
11Linear OA(2203, 574, F2, 42) (dual of [574, 371, 43]-code) [i]
12Linear OA(2198, 560, F2, 42) (dual of [560, 362, 43]-code) [i]
13Linear OA(2212, 574, F2, 44) (dual of [574, 362, 45]-code) [i]
14Linear OA(2207, 560, F2, 44) (dual of [560, 353, 45]-code) [i]
15Linear OA(2221, 574, F2, 46) (dual of [574, 353, 47]-code) [i]
16Linear OA(2216, 560, F2, 46) (dual of [560, 344, 47]-code) [i]
17Linear OA(2230, 574, F2, 48) (dual of [574, 344, 49]-code) [i]
18Linear OA(2225, 560, F2, 48) (dual of [560, 335, 49]-code) [i]
19Linear OA(2237, 564, F2, 52) (dual of [564, 327, 53]-code) [i]
20Linear OA(2234, 560, F2, 52) (dual of [560, 326, 53]-code) [i]
21Linear OA(2246, 564, F2, 54) (dual of [564, 318, 55]-code) [i]
22Linear OA(2243, 560, F2, 54) (dual of [560, 317, 55]-code) [i]
23Linear OA(2252, 579, F2, 54) (dual of [579, 327, 55]-code) [i]
24Linear OA(2248, 574, F2, 54) (dual of [574, 326, 55]-code) [i]
25Linear OA(2255, 564, F2, 56) (dual of [564, 309, 57]-code) [i]
26Linear OA(2252, 560, F2, 56) (dual of [560, 308, 57]-code) [i]
27Linear OA(2257, 574, F2, 56) (dual of [574, 317, 57]-code) [i]
28Linear OOA(216, 21, F2, 2, 6) (dual of [(21, 2), 26, 7]-NRT-code) [i]OOA Folding