Information on Result #604139

Linear OA(214, 15, F2, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,2)), using dual of repetition code with length 15

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(214, 15, F2, 13) (dual of [15, 1, 14]-code) [i]Strength Reduction
2Linear OA(214, 15, F2, 12) (dual of [15, 1, 13]-code) [i]
3Linear OA(214, 15, F2, 11) (dual of [15, 1, 12]-code) [i]
4Linear OA(214, 15, F2, 10) (dual of [15, 1, 11]-code) [i]
5Linear OA(2141, 528, F2, 29) (dual of [528, 387, 30]-code) [i]Construction X with Cyclic Codes
6Linear OA(2155, 1040, F2, 29) (dual of [1040, 885, 30]-code) [i]
7Linear OA(2169, 2064, F2, 29) (dual of [2064, 1895, 30]-code) [i]
8Linear OA(2183, 4112, F2, 29) (dual of [4112, 3929, 30]-code) [i]
9Linear OA(2197, 8208, F2, 29) (dual of [8208, 8011, 30]-code) [i]
10Linear OA(2211, 16400, F2, 29) (dual of [16400, 16189, 30]-code) [i]
11Linear OA(2225, 32784, F2, 29) (dual of [32784, 32559, 30]-code) [i]
12Linear OA(2239, 65552, F2, 29) (dual of [65552, 65313, 30]-code) [i]
13Linear OA(2253, 131088, F2, 29) (dual of [131088, 130835, 30]-code) [i]
14Linear OA(2159, 528, F2, 33) (dual of [528, 369, 34]-code) [i]
15Linear OA(2175, 1040, F2, 33) (dual of [1040, 865, 34]-code) [i]
16Linear OA(2127, 144, F2, 41) (dual of [144, 17, 42]-code) [i]
17Linear OA(2223, 232, F2, 107) (dual of [232, 9, 108]-code) [i]
18Linear OA(2205, 222, F2, 88) (dual of [222, 17, 89]-code) [i]Construction X with VarÅ¡amov Bound
19Linear OA(2208, 225, F2, 90) (dual of [225, 17, 91]-code) [i]
20Linear OA(2221, 269, F2, 82) (dual of [269, 48, 83]-code) [i]