Information on Result #609443

Linear OA(216, 32, F2, 7) (dual of [32, 16, 8]-code), using Reed–Muller code RM(2,5)

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(2145, 289, F2, 37) (dual of [289, 144, 38]-code) [i]Construction X with Cyclic Codes
2Linear OA(2200, 287, F2, 60) (dual of [287, 87, 61]-code) [i]
3Linear OA(2249, 287, F2, 97) (dual of [287, 38, 98]-code) [i]
4Linear OA(2153, 300, F2, 39) (dual of [300, 147, 40]-code) [i]Construction XX with Cyclic Codes
5Linear OA(2150, 297, F2, 38) (dual of [297, 147, 39]-code) [i]
6Linear OA(2150, 296, F2, 39) (dual of [296, 146, 40]-code) [i]
7Linear OA(2161, 300, F2, 41) (dual of [300, 139, 42]-code) [i]
8Linear OA(2158, 297, F2, 40) (dual of [297, 139, 41]-code) [i]
9Linear OA(2158, 296, F2, 41) (dual of [296, 138, 42]-code) [i]
10Linear OA(2163, 310, F2, 40) (dual of [310, 147, 41]-code) [i]
11Linear OA(2163, 309, F2, 41) (dual of [309, 146, 42]-code) [i]
12Linear OA(2244, 290, F2, 94) (dual of [290, 46, 95]-code) [i]
13Linear OA(2244, 290, F2, 95) (dual of [290, 46, 96]-code) [i]
14Linear OA(2256, 300, F2, 97) (dual of [300, 44, 98]-code) [i]
15Linear OA(2256, 300, F2, 98) (dual of [300, 44, 99]-code) [i]
16Linear OA(2256, 300, F2, 99) (dual of [300, 44, 100]-code) [i]
17Linear OA(2256, 301, F2, 98) (dual of [301, 45, 99]-code) [i]
18Linear OA(2234, 553, F2, 53) (dual of [553, 319, 54]-code) [i]
19Linear OA(2248, 567, F2, 55) (dual of [567, 319, 56]-code) [i]
20Linear OA(2257, 567, F2, 57) (dual of [567, 310, 58]-code) [i]
21Linear OA(2251, 288, F2, 99) (dual of [288, 37, 100]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
22Linear OA(2243, 288, F2, 95) (dual of [288, 45, 96]-code) [i]
23Linear OA(2149, 288, F2, 39) (dual of [288, 139, 40]-code) [i]
24Linear OA(2141, 288, F2, 37) (dual of [288, 147, 38]-code) [i]
25Linear OA(2185, 288, F2, 53) (dual of [288, 103, 54]-code) [i]
26Linear OA(2160, 183, F2, 55) (dual of [183, 23, 56]-code) [i]Construction XX with a Chain of De Boer–Brouwer Codes