Information on Result #1165338
Linear OOA(2185, 1048575, F2, 8, 17) (dual of [(1048575, 8), 8388415, 18]-NRT-code), using OOA 8-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, 1048575, F2, 8, 16) (dual of [(1048575, 8), 8388415, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2186, 1048575, F2, 8, 17) (dual of [(1048575, 8), 8388414, 18]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2187, 1048575, F2, 8, 17) (dual of [(1048575, 8), 8388413, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(2188, 1048575, F2, 8, 17) (dual of [(1048575, 8), 8388412, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(2189, 1048575, F2, 8, 17) (dual of [(1048575, 8), 8388411, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(2190, 1048575, F2, 8, 17) (dual of [(1048575, 8), 8388410, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(2193, 1048578, F2, 8, 17) (dual of [(1048578, 8), 8388431, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(2194, 1048580, F2, 8, 17) (dual of [(1048580, 8), 8388446, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(2195, 1048581, F2, 8, 17) (dual of [(1048581, 8), 8388453, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(2196, 1048582, F2, 8, 17) (dual of [(1048582, 8), 8388460, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(2197, 1048584, F2, 8, 17) (dual of [(1048584, 8), 8388475, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(2198, 1048586, F2, 8, 17) (dual of [(1048586, 8), 8388490, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(2199, 1048590, F2, 8, 17) (dual of [(1048590, 8), 8388521, 18]-NRT-code) | [i] | ||
| 14 | Linear OOA(2200, 1048591, F2, 8, 17) (dual of [(1048591, 8), 8388528, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(2201, 1048594, F2, 8, 17) (dual of [(1048594, 8), 8388551, 18]-NRT-code) | [i] | ||
| 16 | Linear OOA(2202, 1048597, F2, 8, 17) (dual of [(1048597, 8), 8388574, 18]-NRT-code) | [i] | ||
| 17 | Linear OOA(2203, 1048601, F2, 8, 17) (dual of [(1048601, 8), 8388605, 18]-NRT-code) | [i] | ||
| 18 | Linear OOA(2204, 1048605, F2, 8, 17) (dual of [(1048605, 8), 8388636, 18]-NRT-code) | [i] | ||
| 19 | Linear OOA(2205, 1048610, F2, 8, 17) (dual of [(1048610, 8), 8388675, 18]-NRT-code) | [i] | ||
| 20 | Linear OOA(2206, 1048614, F2, 8, 17) (dual of [(1048614, 8), 8388706, 18]-NRT-code) | [i] | ||
| 21 | Linear OOA(2210, 1048619, F2, 8, 17) (dual of [(1048619, 8), 8388742, 18]-NRT-code) | [i] | ||
| 22 | Linear OOA(2211, 1048624, F2, 8, 17) (dual of [(1048624, 8), 8388781, 18]-NRT-code) | [i] | ||
| 23 | Linear OOA(2212, 1048625, F2, 8, 17) (dual of [(1048625, 8), 8388788, 18]-NRT-code) | [i] | ||
| 24 | Linear OOA(2213, 1048628, F2, 8, 17) (dual of [(1048628, 8), 8388811, 18]-NRT-code) | [i] | ||
| 25 | Linear OOA(2214, 1048635, F2, 8, 17) (dual of [(1048635, 8), 8388866, 18]-NRT-code) | [i] | ||
| 26 | Linear OOA(2215, 1048642, F2, 8, 17) (dual of [(1048642, 8), 8388921, 18]-NRT-code) | [i] | ||
| 27 | Linear OOA(2216, 1048646, F2, 8, 17) (dual of [(1048646, 8), 8388952, 18]-NRT-code) | [i] | ||
| 28 | Linear OOA(2217, 1048653, F2, 8, 17) (dual of [(1048653, 8), 8389007, 18]-NRT-code) | [i] | ||
| 29 | Linear OOA(2221, 1048703, F2, 8, 17) (dual of [(1048703, 8), 8389403, 18]-NRT-code) | [i] | ||
| 30 | Linear OOA(2222, 1048705, F2, 8, 17) (dual of [(1048705, 8), 8389418, 18]-NRT-code) | [i] | ||
| 31 | Linear OOA(2223, 1048707, F2, 8, 17) (dual of [(1048707, 8), 8389433, 18]-NRT-code) | [i] | ||
| 32 | Linear OOA(2224, 1048708, F2, 8, 17) (dual of [(1048708, 8), 8389440, 18]-NRT-code) | [i] | ||
| 33 | Linear OOA(2225, 1048831, F2, 8, 17) (dual of [(1048831, 8), 8390423, 18]-NRT-code) | [i] | ||
| 34 | Linear OOA(2226, 1048833, F2, 8, 17) (dual of [(1048833, 8), 8390438, 18]-NRT-code) | [i] | ||
| 35 | Linear OOA(2227, 1048836, F2, 8, 17) (dual of [(1048836, 8), 8390461, 18]-NRT-code) | [i] | ||
| 36 | Linear OOA(2229, 1049087, F2, 8, 17) (dual of [(1049087, 8), 8392467, 18]-NRT-code) | [i] | ||
| 37 | Linear OOA(2230, 1049090, F2, 8, 17) (dual of [(1049090, 8), 8392490, 18]-NRT-code) | [i] | ||
| 38 | Linear OOA(2233, 1049599, F2, 8, 17) (dual of [(1049599, 8), 8396559, 18]-NRT-code) | [i] | ||
| 39 | Linear OOA(2234, 1049602, F2, 8, 17) (dual of [(1049602, 8), 8396582, 18]-NRT-code) | [i] | ||
| 40 | Linear OOA(2237, 1050623, F2, 8, 17) (dual of [(1050623, 8), 8404747, 18]-NRT-code) | [i] | ||
| 41 | Linear OOA(2238, 1050626, F2, 8, 17) (dual of [(1050626, 8), 8404770, 18]-NRT-code) | [i] | ||
| 42 | Linear OOA(2240, 1050627, F2, 8, 17) (dual of [(1050627, 8), 8404776, 18]-NRT-code) | [i] | ||
| 43 | Linear OOA(2241, 1052671, F2, 8, 17) (dual of [(1052671, 8), 8421127, 18]-NRT-code) | [i] | ||
| 44 | Linear OOA(2242, 1052674, F2, 8, 17) (dual of [(1052674, 8), 8421150, 18]-NRT-code) | [i] | ||
| 45 | Linear OOA(2243, 1052675, F2, 8, 17) (dual of [(1052675, 8), 8421157, 18]-NRT-code) | [i] | ||
| 46 | Linear OOA(2245, 1056767, F2, 8, 17) (dual of [(1056767, 8), 8453891, 18]-NRT-code) | [i] | ||
| 47 | Linear OOA(2246, 1056771, F2, 8, 17) (dual of [(1056771, 8), 8453922, 18]-NRT-code) | [i] | ||
| 48 | Linear OOA(2249, 1064959, F2, 8, 17) (dual of [(1064959, 8), 8519423, 18]-NRT-code) | [i] | ||
| 49 | Linear OOA(2250, 1064963, F2, 8, 17) (dual of [(1064963, 8), 8519454, 18]-NRT-code) | [i] | ||
| 50 | Linear OOA(2253, 1081343, F2, 8, 17) (dual of [(1081343, 8), 8650491, 18]-NRT-code) | [i] | ||
| 51 | Linear OOA(2254, 1081347, F2, 8, 17) (dual of [(1081347, 8), 8650522, 18]-NRT-code) | [i] | ||
| 52 | Linear OOA(2256, 1081348, F2, 8, 17) (dual of [(1081348, 8), 8650528, 18]-NRT-code) | [i] | ||
| 53 | Linear OOA(2257, 1114111, F2, 8, 17) (dual of [(1114111, 8), 8912631, 18]-NRT-code) | [i] | ||
| 54 | Linear OOA(2258, 1114115, F2, 8, 17) (dual of [(1114115, 8), 8912662, 18]-NRT-code) | [i] | ||
| 55 | Linear OOA(2259, 1114116, F2, 8, 17) (dual of [(1114116, 8), 8912669, 18]-NRT-code) | [i] | ||