Information on Result #610039

Linear OA(2207, 210, F2, 119) (dual of [210, 3, 120]-code), using repeating each code word 30 times based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), 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(2207, 210, F2, 118) (dual of [210, 3, 119]-code) [i]Strength Reduction
2Linear OA(2207, 210, F2, 117) (dual of [210, 3, 118]-code) [i]
3Linear OA(2207, 210, F2, 116) (dual of [210, 3, 117]-code) [i]
4Linear OA(2207, 210, F2, 115) (dual of [210, 3, 116]-code) [i]
5Linear OA(2207, 210, F2, 114) (dual of [210, 3, 115]-code) [i]
6Linear OA(2207, 210, F2, 113) (dual of [210, 3, 114]-code) [i]
7Linear OA(2207, 210, F2, 112) (dual of [210, 3, 113]-code) [i]
8Linear OA(2208, 211, F2, 119) (dual of [211, 3, 120]-code) [i]Code Embedding in Larger Space
9Linear OA(2206, 209, F2, 118) (dual of [209, 3, 119]-code) [i]Truncation
10Linear OA(2205, 208, F2, 117) (dual of [208, 3, 118]-code) [i]
11Linear OA(2203, 206, F2, 115) (dual of [206, 3, 116]-code) [i]
12Linear OA(2202, 205, F2, 114) (dual of [205, 3, 115]-code) [i]
13Linear OA(2201, 204, F2, 113) (dual of [204, 3, 114]-code) [i]
14Linear OA(2199, 202, F2, 111) (dual of [202, 3, 112]-code) [i]
15Linear OA(2198, 201, F2, 110) (dual of [201, 3, 111]-code) [i]
16Linear OA(2196, 199, F2, 108) (dual of [199, 3, 109]-code) [i]
17Linear OA(2195, 198, F2, 107) (dual of [198, 3, 108]-code) [i]
18Linear OA(2194, 197, F2, 106) (dual of [197, 3, 107]-code) [i]
19Linear OA(2192, 195, F2, 104) (dual of [195, 3, 105]-code) [i]
20Linear OOA(2207, 105, F2, 2, 119) (dual of [(105, 2), 3, 120]-NRT-code) [i]OOA Folding
21Linear OOA(2207, 70, F2, 3, 119) (dual of [(70, 3), 3, 120]-NRT-code) [i]
22Linear OOA(2207, 42, F2, 5, 119) (dual of [(42, 5), 3, 120]-NRT-code) [i]
23Linear OOA(2207, 30, F2, 7, 119) (dual of [(30, 7), 3, 120]-NRT-code) [i]