Information on Result #1095734
Linear OOA(2185, 1677720, F2, 5, 17) (dual of [(1677720, 5), 8388415, 18]-NRT-code), using OOA 5-folding based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [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(2185, 1677720, F2, 5, 16) (dual of [(1677720, 5), 8388415, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2190, 1677721, F2, 5, 17) (dual of [(1677721, 5), 8388415, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2186, 1677720, F2, 5, 17) (dual of [(1677720, 5), 8388414, 18]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2187, 1677720, F2, 5, 17) (dual of [(1677720, 5), 8388413, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(2188, 1677720, F2, 5, 17) (dual of [(1677720, 5), 8388412, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(2189, 1677720, F2, 5, 17) (dual of [(1677720, 5), 8388411, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(2193, 1677723, F2, 5, 17) (dual of [(1677723, 5), 8388422, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(2194, 1677725, F2, 5, 17) (dual of [(1677725, 5), 8388431, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(2195, 1677726, F2, 5, 17) (dual of [(1677726, 5), 8388435, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(2196, 1677727, F2, 5, 17) (dual of [(1677727, 5), 8388439, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(2197, 1677729, F2, 5, 17) (dual of [(1677729, 5), 8388448, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(2198, 1677731, F2, 5, 17) (dual of [(1677731, 5), 8388457, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(2199, 1677735, F2, 5, 17) (dual of [(1677735, 5), 8388476, 18]-NRT-code) | [i] | ||
| 14 | Linear OOA(2200, 1677736, F2, 5, 17) (dual of [(1677736, 5), 8388480, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(2201, 1677739, F2, 5, 17) (dual of [(1677739, 5), 8388494, 18]-NRT-code) | [i] | ||
| 16 | Linear OOA(2202, 1677742, F2, 5, 17) (dual of [(1677742, 5), 8388508, 18]-NRT-code) | [i] | ||
| 17 | Linear OOA(2203, 1677746, F2, 5, 17) (dual of [(1677746, 5), 8388527, 18]-NRT-code) | [i] | ||
| 18 | Linear OOA(2204, 1677750, F2, 5, 17) (dual of [(1677750, 5), 8388546, 18]-NRT-code) | [i] | ||
| 19 | Linear OOA(2205, 1677755, F2, 5, 17) (dual of [(1677755, 5), 8388570, 18]-NRT-code) | [i] | ||
| 20 | Linear OOA(2206, 1677759, F2, 5, 17) (dual of [(1677759, 5), 8388589, 18]-NRT-code) | [i] | ||
| 21 | Linear OOA(2210, 1677764, F2, 5, 17) (dual of [(1677764, 5), 8388610, 18]-NRT-code) | [i] | ||
| 22 | Linear OOA(2211, 1677769, F2, 5, 17) (dual of [(1677769, 5), 8388634, 18]-NRT-code) | [i] | ||
| 23 | Linear OOA(2212, 1677770, F2, 5, 17) (dual of [(1677770, 5), 8388638, 18]-NRT-code) | [i] | ||
| 24 | Linear OOA(2213, 1677773, F2, 5, 17) (dual of [(1677773, 5), 8388652, 18]-NRT-code) | [i] | ||
| 25 | Linear OOA(2214, 1677780, F2, 5, 17) (dual of [(1677780, 5), 8388686, 18]-NRT-code) | [i] | ||
| 26 | Linear OOA(2215, 1677787, F2, 5, 17) (dual of [(1677787, 5), 8388720, 18]-NRT-code) | [i] | ||
| 27 | Linear OOA(2216, 1677791, F2, 5, 17) (dual of [(1677791, 5), 8388739, 18]-NRT-code) | [i] | ||
| 28 | Linear OOA(2217, 1677798, F2, 5, 17) (dual of [(1677798, 5), 8388773, 18]-NRT-code) | [i] | ||
| 29 | Linear OOA(2221, 1677848, F2, 5, 17) (dual of [(1677848, 5), 8389019, 18]-NRT-code) | [i] | ||
| 30 | Linear OOA(2222, 1677850, F2, 5, 17) (dual of [(1677850, 5), 8389028, 18]-NRT-code) | [i] | ||
| 31 | Linear OOA(2223, 1677852, F2, 5, 17) (dual of [(1677852, 5), 8389037, 18]-NRT-code) | [i] | ||
| 32 | Linear OOA(2224, 1677853, F2, 5, 17) (dual of [(1677853, 5), 8389041, 18]-NRT-code) | [i] | ||
| 33 | Linear OOA(2225, 1677976, F2, 5, 17) (dual of [(1677976, 5), 8389655, 18]-NRT-code) | [i] | ||
| 34 | Linear OOA(2226, 1677978, F2, 5, 17) (dual of [(1677978, 5), 8389664, 18]-NRT-code) | [i] | ||
| 35 | Linear OOA(2227, 1677981, F2, 5, 17) (dual of [(1677981, 5), 8389678, 18]-NRT-code) | [i] | ||
| 36 | Linear OOA(2229, 1678232, F2, 5, 17) (dual of [(1678232, 5), 8390931, 18]-NRT-code) | [i] | ||
| 37 | Linear OOA(2230, 1678235, F2, 5, 17) (dual of [(1678235, 5), 8390945, 18]-NRT-code) | [i] | ||
| 38 | Linear OOA(2233, 1678744, F2, 5, 17) (dual of [(1678744, 5), 8393487, 18]-NRT-code) | [i] | ||
| 39 | Linear OOA(2234, 1678747, F2, 5, 17) (dual of [(1678747, 5), 8393501, 18]-NRT-code) | [i] | ||
| 40 | Linear OOA(2237, 1679768, F2, 5, 17) (dual of [(1679768, 5), 8398603, 18]-NRT-code) | [i] | ||
| 41 | Linear OOA(2238, 1679771, F2, 5, 17) (dual of [(1679771, 5), 8398617, 18]-NRT-code) | [i] | ||
| 42 | Linear OOA(2240, 1679772, F2, 5, 17) (dual of [(1679772, 5), 8398620, 18]-NRT-code) | [i] | ||
| 43 | Linear OOA(2241, 1681816, F2, 5, 17) (dual of [(1681816, 5), 8408839, 18]-NRT-code) | [i] | ||
| 44 | Linear OOA(2242, 1681819, F2, 5, 17) (dual of [(1681819, 5), 8408853, 18]-NRT-code) | [i] | ||
| 45 | Linear OOA(2243, 1681820, F2, 5, 17) (dual of [(1681820, 5), 8408857, 18]-NRT-code) | [i] | ||
| 46 | Linear OOA(2245, 1685912, F2, 5, 17) (dual of [(1685912, 5), 8429315, 18]-NRT-code) | [i] | ||
| 47 | Linear OOA(2246, 1685916, F2, 5, 17) (dual of [(1685916, 5), 8429334, 18]-NRT-code) | [i] | ||
| 48 | Linear OOA(2249, 1694104, F2, 5, 17) (dual of [(1694104, 5), 8470271, 18]-NRT-code) | [i] | ||
| 49 | Linear OOA(2250, 1694108, F2, 5, 17) (dual of [(1694108, 5), 8470290, 18]-NRT-code) | [i] | ||
| 50 | Linear OOA(2253, 1710488, F2, 5, 17) (dual of [(1710488, 5), 8552187, 18]-NRT-code) | [i] | ||
| 51 | Linear OOA(2254, 1710492, F2, 5, 17) (dual of [(1710492, 5), 8552206, 18]-NRT-code) | [i] | ||
| 52 | Linear OOA(2256, 1710493, F2, 5, 17) (dual of [(1710493, 5), 8552209, 18]-NRT-code) | [i] | ||
| 53 | Linear OOA(2257, 1743256, F2, 5, 17) (dual of [(1743256, 5), 8716023, 18]-NRT-code) | [i] | ||
| 54 | Linear OOA(2258, 1743260, F2, 5, 17) (dual of [(1743260, 5), 8716042, 18]-NRT-code) | [i] | ||
| 55 | Linear OOA(2259, 1743261, F2, 5, 17) (dual of [(1743261, 5), 8716046, 18]-NRT-code) | [i] | ||
| 56 | Linear OOA(2208, 1677760, F2, 5, 17) (dual of [(1677760, 5), 8388592, 18]-NRT-code) | [i] | ||
| 57 | Linear OOA(2212, 1677774, F2, 5, 17) (dual of [(1677774, 5), 8388658, 18]-NRT-code) | [i] | ||
| 58 | Linear OOA(2213, 1677784, F2, 5, 17) (dual of [(1677784, 5), 8388707, 18]-NRT-code) | [i] | ||
| 59 | Linear OOA(2214, 1677789, F2, 5, 17) (dual of [(1677789, 5), 8388731, 18]-NRT-code) | [i] | ||
| 60 | Linear OOA(2215, 1677798, F2, 5, 17) (dual of [(1677798, 5), 8388775, 18]-NRT-code) | [i] | ||
| 61 | Linear OOA(2216, 1677809, F2, 5, 17) (dual of [(1677809, 5), 8388829, 18]-NRT-code) | [i] | ||
| 62 | Linear OOA(2217, 1677848, F2, 5, 17) (dual of [(1677848, 5), 8389023, 18]-NRT-code) | [i] | ||
| 63 | Linear OOA(2218, 1677852, F2, 5, 17) (dual of [(1677852, 5), 8389042, 18]-NRT-code) | [i] | ||
| 64 | Linear OOA(2219, 1677856, F2, 5, 17) (dual of [(1677856, 5), 8389061, 18]-NRT-code) | [i] | ||
| 65 | Linear OOA(2220, 1677865, F2, 5, 17) (dual of [(1677865, 5), 8389105, 18]-NRT-code) | [i] | ||
| 66 | Linear OOA(2221, 1677976, F2, 5, 17) (dual of [(1677976, 5), 8389659, 18]-NRT-code) | [i] | ||
| 67 | Linear OOA(2222, 1677981, F2, 5, 17) (dual of [(1677981, 5), 8389683, 18]-NRT-code) | [i] | ||
| 68 | Linear OOA(2223, 1677985, F2, 5, 17) (dual of [(1677985, 5), 8389702, 18]-NRT-code) | [i] | ||