Information on Result #1165201
Linear OOA(2184, 1048575, F2, 8, 16) (dual of [(1048575, 8), 8388416, 17]-NRT-code), using OOA 8-folding based on linear OA(2184, 8388600, F2, 16) (dual of [8388600, 8388416, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(2186, 1048575, F2, 8, 16) (dual of [(1048575, 8), 8388414, 17]-NRT-code) | [i] | OOA Duplication | |
2 | Linear OOA(2187, 1048575, F2, 8, 16) (dual of [(1048575, 8), 8388413, 17]-NRT-code) | [i] | ||
3 | Linear OOA(2188, 1048575, F2, 8, 16) (dual of [(1048575, 8), 8388412, 17]-NRT-code) | [i] | ||
4 | Linear OOA(2189, 1048575, F2, 8, 16) (dual of [(1048575, 8), 8388411, 17]-NRT-code) | [i] | ||
5 | Linear OOA(2192, 1048578, F2, 8, 16) (dual of [(1048578, 8), 8388432, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
6 | Linear OOA(2193, 1048580, F2, 8, 16) (dual of [(1048580, 8), 8388447, 17]-NRT-code) | [i] | ||
7 | Linear OOA(2194, 1048581, F2, 8, 16) (dual of [(1048581, 8), 8388454, 17]-NRT-code) | [i] | ||
8 | Linear OOA(2195, 1048582, F2, 8, 16) (dual of [(1048582, 8), 8388461, 17]-NRT-code) | [i] | ||
9 | Linear OOA(2196, 1048584, F2, 8, 16) (dual of [(1048584, 8), 8388476, 17]-NRT-code) | [i] | ||
10 | Linear OOA(2197, 1048586, F2, 8, 16) (dual of [(1048586, 8), 8388491, 17]-NRT-code) | [i] | ||
11 | Linear OOA(2198, 1048590, F2, 8, 16) (dual of [(1048590, 8), 8388522, 17]-NRT-code) | [i] | ||
12 | Linear OOA(2199, 1048591, F2, 8, 16) (dual of [(1048591, 8), 8388529, 17]-NRT-code) | [i] | ||
13 | Linear OOA(2200, 1048594, F2, 8, 16) (dual of [(1048594, 8), 8388552, 17]-NRT-code) | [i] | ||
14 | Linear OOA(2201, 1048597, F2, 8, 16) (dual of [(1048597, 8), 8388575, 17]-NRT-code) | [i] | ||
15 | Linear OOA(2202, 1048601, F2, 8, 16) (dual of [(1048601, 8), 8388606, 17]-NRT-code) | [i] | ||
16 | Linear OOA(2203, 1048605, F2, 8, 16) (dual of [(1048605, 8), 8388637, 17]-NRT-code) | [i] | ||
17 | Linear OOA(2204, 1048610, F2, 8, 16) (dual of [(1048610, 8), 8388676, 17]-NRT-code) | [i] | ||
18 | Linear OOA(2205, 1048614, F2, 8, 16) (dual of [(1048614, 8), 8388707, 17]-NRT-code) | [i] | ||
19 | Linear OOA(2209, 1048619, F2, 8, 16) (dual of [(1048619, 8), 8388743, 17]-NRT-code) | [i] | ||
20 | Linear OOA(2210, 1048624, F2, 8, 16) (dual of [(1048624, 8), 8388782, 17]-NRT-code) | [i] | ||
21 | Linear OOA(2211, 1048625, F2, 8, 16) (dual of [(1048625, 8), 8388789, 17]-NRT-code) | [i] | ||
22 | Linear OOA(2212, 1048628, F2, 8, 16) (dual of [(1048628, 8), 8388812, 17]-NRT-code) | [i] | ||
23 | Linear OOA(2213, 1048635, F2, 8, 16) (dual of [(1048635, 8), 8388867, 17]-NRT-code) | [i] | ||
24 | Linear OOA(2214, 1048642, F2, 8, 16) (dual of [(1048642, 8), 8388922, 17]-NRT-code) | [i] | ||
25 | Linear OOA(2215, 1048646, F2, 8, 16) (dual of [(1048646, 8), 8388953, 17]-NRT-code) | [i] | ||
26 | Linear OOA(2216, 1048653, F2, 8, 16) (dual of [(1048653, 8), 8389008, 17]-NRT-code) | [i] | ||
27 | Linear OOA(2220, 1048703, F2, 8, 16) (dual of [(1048703, 8), 8389404, 17]-NRT-code) | [i] | ||
28 | Linear OOA(2221, 1048705, F2, 8, 16) (dual of [(1048705, 8), 8389419, 17]-NRT-code) | [i] | ||
29 | Linear OOA(2222, 1048707, F2, 8, 16) (dual of [(1048707, 8), 8389434, 17]-NRT-code) | [i] | ||
30 | Linear OOA(2223, 1048708, F2, 8, 16) (dual of [(1048708, 8), 8389441, 17]-NRT-code) | [i] | ||
31 | Linear OOA(2224, 1048831, F2, 8, 16) (dual of [(1048831, 8), 8390424, 17]-NRT-code) | [i] | ||
32 | Linear OOA(2225, 1048833, F2, 8, 16) (dual of [(1048833, 8), 8390439, 17]-NRT-code) | [i] | ||
33 | Linear OOA(2226, 1048836, F2, 8, 16) (dual of [(1048836, 8), 8390462, 17]-NRT-code) | [i] | ||
34 | Linear OOA(2228, 1049087, F2, 8, 16) (dual of [(1049087, 8), 8392468, 17]-NRT-code) | [i] | ||
35 | Linear OOA(2229, 1049090, F2, 8, 16) (dual of [(1049090, 8), 8392491, 17]-NRT-code) | [i] | ||
36 | Linear OOA(2232, 1049599, F2, 8, 16) (dual of [(1049599, 8), 8396560, 17]-NRT-code) | [i] | ||
37 | Linear OOA(2233, 1049602, F2, 8, 16) (dual of [(1049602, 8), 8396583, 17]-NRT-code) | [i] | ||
38 | Linear OOA(2236, 1050623, F2, 8, 16) (dual of [(1050623, 8), 8404748, 17]-NRT-code) | [i] | ||
39 | Linear OOA(2237, 1050626, F2, 8, 16) (dual of [(1050626, 8), 8404771, 17]-NRT-code) | [i] | ||
40 | Linear OOA(2239, 1050627, F2, 8, 16) (dual of [(1050627, 8), 8404777, 17]-NRT-code) | [i] | ||
41 | Linear OOA(2240, 1052671, F2, 8, 16) (dual of [(1052671, 8), 8421128, 17]-NRT-code) | [i] | ||
42 | Linear OOA(2241, 1052674, F2, 8, 16) (dual of [(1052674, 8), 8421151, 17]-NRT-code) | [i] | ||
43 | Linear OOA(2242, 1052675, F2, 8, 16) (dual of [(1052675, 8), 8421158, 17]-NRT-code) | [i] | ||
44 | Linear OOA(2244, 1056767, F2, 8, 16) (dual of [(1056767, 8), 8453892, 17]-NRT-code) | [i] | ||
45 | Linear OOA(2245, 1056771, F2, 8, 16) (dual of [(1056771, 8), 8453923, 17]-NRT-code) | [i] | ||
46 | Linear OOA(2248, 1064959, F2, 8, 16) (dual of [(1064959, 8), 8519424, 17]-NRT-code) | [i] | ||
47 | Linear OOA(2249, 1064963, F2, 8, 16) (dual of [(1064963, 8), 8519455, 17]-NRT-code) | [i] | ||
48 | Linear OOA(2252, 1081343, F2, 8, 16) (dual of [(1081343, 8), 8650492, 17]-NRT-code) | [i] | ||
49 | Linear OOA(2253, 1081347, F2, 8, 16) (dual of [(1081347, 8), 8650523, 17]-NRT-code) | [i] | ||
50 | Linear OOA(2255, 1081348, F2, 8, 16) (dual of [(1081348, 8), 8650529, 17]-NRT-code) | [i] | ||
51 | Linear OOA(2256, 1114111, F2, 8, 16) (dual of [(1114111, 8), 8912632, 17]-NRT-code) | [i] | ||
52 | Linear OOA(2257, 1114115, F2, 8, 16) (dual of [(1114115, 8), 8912663, 17]-NRT-code) | [i] | ||
53 | Linear OOA(2258, 1114116, F2, 8, 16) (dual of [(1114116, 8), 8912670, 17]-NRT-code) | [i] | ||
54 | Linear OOA(2260, 1179647, F2, 8, 16) (dual of [(1179647, 8), 9436916, 17]-NRT-code) | [i] |