Information on Result #806169
Linear OOA(2185, 4194301, F2, 2, 17) (dual of [(4194301, 2), 8388417, 18]-NRT-code), using OOA 2-folding based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 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, 4194301, F2, 2, 16) (dual of [(4194301, 2), 8388417, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2187, 4194302, F2, 2, 17) (dual of [(4194302, 2), 8388417, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2189, 4194303, F2, 2, 17) (dual of [(4194303, 2), 8388417, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(2191, 4194304, F2, 2, 17) (dual of [(4194304, 2), 8388417, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(2193, 4194305, F2, 2, 17) (dual of [(4194305, 2), 8388417, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(2186, 4194301, F2, 2, 17) (dual of [(4194301, 2), 8388416, 18]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2194, 4194306, F2, 2, 17) (dual of [(4194306, 2), 8388418, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(2195, 4194307, F2, 2, 17) (dual of [(4194307, 2), 8388419, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(2196, 4194309, F2, 2, 17) (dual of [(4194309, 2), 8388422, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(2197, 4194311, F2, 2, 17) (dual of [(4194311, 2), 8388425, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(2198, 4194312, F2, 2, 17) (dual of [(4194312, 2), 8388426, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(2199, 4194316, F2, 2, 17) (dual of [(4194316, 2), 8388433, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(2200, 4194317, F2, 2, 17) (dual of [(4194317, 2), 8388434, 18]-NRT-code) | [i] | ||
| 14 | Linear OOA(2201, 4194320, F2, 2, 17) (dual of [(4194320, 2), 8388439, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(2202, 4194323, F2, 2, 17) (dual of [(4194323, 2), 8388444, 18]-NRT-code) | [i] | ||
| 16 | Linear OOA(2203, 4194327, F2, 2, 17) (dual of [(4194327, 2), 8388451, 18]-NRT-code) | [i] | ||
| 17 | Linear OOA(2204, 4194331, F2, 2, 17) (dual of [(4194331, 2), 8388458, 18]-NRT-code) | [i] | ||
| 18 | Linear OOA(2205, 4194336, F2, 2, 17) (dual of [(4194336, 2), 8388467, 18]-NRT-code) | [i] | ||
| 19 | Linear OOA(2206, 4194340, F2, 2, 17) (dual of [(4194340, 2), 8388474, 18]-NRT-code) | [i] | ||
| 20 | Linear OOA(2210, 4194345, F2, 2, 17) (dual of [(4194345, 2), 8388480, 18]-NRT-code) | [i] | ||
| 21 | Linear OOA(2211, 4194350, F2, 2, 17) (dual of [(4194350, 2), 8388489, 18]-NRT-code) | [i] | ||
| 22 | Linear OOA(2212, 4194351, F2, 2, 17) (dual of [(4194351, 2), 8388490, 18]-NRT-code) | [i] | ||
| 23 | Linear OOA(2213, 4194365, F2, 2, 17) (dual of [(4194365, 2), 8388517, 18]-NRT-code) | [i] | ||
| 24 | Linear OOA(2214, 4194368, F2, 2, 17) (dual of [(4194368, 2), 8388522, 18]-NRT-code) | [i] | ||
| 25 | Linear OOA(2215, 4194372, F2, 2, 17) (dual of [(4194372, 2), 8388529, 18]-NRT-code) | [i] | ||
| 26 | Linear OOA(2216, 4194373, F2, 2, 17) (dual of [(4194373, 2), 8388530, 18]-NRT-code) | [i] | ||
| 27 | Linear OOA(2217, 4194429, F2, 2, 17) (dual of [(4194429, 2), 8388641, 18]-NRT-code) | [i] | ||
| 28 | Linear OOA(2218, 4194433, F2, 2, 17) (dual of [(4194433, 2), 8388648, 18]-NRT-code) | [i] | ||
| 29 | Linear OOA(2219, 4194437, F2, 2, 17) (dual of [(4194437, 2), 8388655, 18]-NRT-code) | [i] | ||
| 30 | Linear OOA(2220, 4194438, F2, 2, 17) (dual of [(4194438, 2), 8388656, 18]-NRT-code) | [i] | ||
| 31 | Linear OOA(2221, 4194557, F2, 2, 17) (dual of [(4194557, 2), 8388893, 18]-NRT-code) | [i] | ||
| 32 | Linear OOA(2222, 4194562, F2, 2, 17) (dual of [(4194562, 2), 8388902, 18]-NRT-code) | [i] | ||
| 33 | Linear OOA(2223, 4194566, F2, 2, 17) (dual of [(4194566, 2), 8388909, 18]-NRT-code) | [i] | ||
| 34 | Linear OOA(2224, 4194567, F2, 2, 17) (dual of [(4194567, 2), 8388910, 18]-NRT-code) | [i] | ||
| 35 | Linear OOA(2225, 4194813, F2, 2, 17) (dual of [(4194813, 2), 8389401, 18]-NRT-code) | [i] | ||
| 36 | Linear OOA(2226, 4194818, F2, 2, 17) (dual of [(4194818, 2), 8389410, 18]-NRT-code) | [i] | ||
| 37 | Linear OOA(2227, 4194823, F2, 2, 17) (dual of [(4194823, 2), 8389419, 18]-NRT-code) | [i] | ||
| 38 | Linear OOA(2228, 4194824, F2, 2, 17) (dual of [(4194824, 2), 8389420, 18]-NRT-code) | [i] | ||
| 39 | Linear OOA(2229, 4195325, F2, 2, 17) (dual of [(4195325, 2), 8390421, 18]-NRT-code) | [i] | ||
| 40 | Linear OOA(2230, 4195331, F2, 2, 17) (dual of [(4195331, 2), 8390432, 18]-NRT-code) | [i] | ||
| 41 | Linear OOA(2233, 4196349, F2, 2, 17) (dual of [(4196349, 2), 8392465, 18]-NRT-code) | [i] | ||
| 42 | Linear OOA(2234, 4196355, F2, 2, 17) (dual of [(4196355, 2), 8392476, 18]-NRT-code) | [i] | ||
| 43 | Linear OOA(2235, 4196356, F2, 2, 17) (dual of [(4196356, 2), 8392477, 18]-NRT-code) | [i] | ||
| 44 | Linear OOA(2237, 4198397, F2, 2, 17) (dual of [(4198397, 2), 8396557, 18]-NRT-code) | [i] | ||
| 45 | Linear OOA(2238, 4198404, F2, 2, 17) (dual of [(4198404, 2), 8396570, 18]-NRT-code) | [i] | ||
| 46 | Linear OOA(2241, 4202493, F2, 2, 17) (dual of [(4202493, 2), 8404745, 18]-NRT-code) | [i] | ||
| 47 | Linear OOA(2242, 4202500, F2, 2, 17) (dual of [(4202500, 2), 8404758, 18]-NRT-code) | [i] | ||
| 48 | Linear OOA(2243, 4202501, F2, 2, 17) (dual of [(4202501, 2), 8404759, 18]-NRT-code) | [i] | ||
| 49 | Linear OOA(2245, 4210685, F2, 2, 17) (dual of [(4210685, 2), 8421125, 18]-NRT-code) | [i] | ||
| 50 | Linear OOA(2246, 4210693, F2, 2, 17) (dual of [(4210693, 2), 8421140, 18]-NRT-code) | [i] | ||
| 51 | Linear OOA(2249, 4227069, F2, 2, 17) (dual of [(4227069, 2), 8453889, 18]-NRT-code) | [i] | ||
| 52 | Linear OOA(2250, 4227077, F2, 2, 17) (dual of [(4227077, 2), 8453904, 18]-NRT-code) | [i] | ||
| 53 | Linear OOA(2251, 4227078, F2, 2, 17) (dual of [(4227078, 2), 8453905, 18]-NRT-code) | [i] | ||
| 54 | Linear OOA(2253, 4259837, F2, 2, 17) (dual of [(4259837, 2), 8519421, 18]-NRT-code) | [i] | ||
| 55 | Linear OOA(2254, 4259846, F2, 2, 17) (dual of [(4259846, 2), 8519438, 18]-NRT-code) | [i] | ||
| 56 | Linear OOA(2257, 4325373, F2, 2, 17) (dual of [(4325373, 2), 8650489, 18]-NRT-code) | [i] | ||
| 57 | Linear OOA(2258, 4325382, F2, 2, 17) (dual of [(4325382, 2), 8650506, 18]-NRT-code) | [i] | ||
| 58 | Linear OOA(2259, 4325383, F2, 2, 17) (dual of [(4325383, 2), 8650507, 18]-NRT-code) | [i] | ||
| 59 | Linear OOA(2212, 4194355, F2, 2, 17) (dual of [(4194355, 2), 8388498, 18]-NRT-code) | [i] | ||
| 60 | Linear OOA(2214, 4194370, F2, 2, 17) (dual of [(4194370, 2), 8388526, 18]-NRT-code) | [i] | ||
| 61 | Linear OOA(2215, 4194379, F2, 2, 17) (dual of [(4194379, 2), 8388543, 18]-NRT-code) | [i] | ||
| 62 | Linear OOA(2216, 4194390, F2, 2, 17) (dual of [(4194390, 2), 8388564, 18]-NRT-code) | [i] | ||
| 63 | Linear OOA(2220, 4194446, F2, 2, 17) (dual of [(4194446, 2), 8388672, 18]-NRT-code) | [i] | ||