Information on Result #1151229
Linear OOA(2185, 1198371, F2, 7, 17) (dual of [(1198371, 7), 8388412, 18]-NRT-code), using OOA 7-folding based on linear OA(2185, 8388597, F2, 17) (dual of [8388597, 8388412, 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, 1198371, F2, 7, 16) (dual of [(1198371, 7), 8388412, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2192, 1198372, F2, 7, 17) (dual of [(1198372, 7), 8388412, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2186, 1198371, F2, 7, 17) (dual of [(1198371, 7), 8388411, 18]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2187, 1198371, F2, 7, 17) (dual of [(1198371, 7), 8388410, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(2188, 1198371, F2, 7, 17) (dual of [(1198371, 7), 8388409, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(2189, 1198371, F2, 7, 17) (dual of [(1198371, 7), 8388408, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(2190, 1198371, F2, 7, 17) (dual of [(1198371, 7), 8388407, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(2191, 1198371, F2, 7, 17) (dual of [(1198371, 7), 8388406, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(2193, 1198374, F2, 7, 17) (dual of [(1198374, 7), 8388425, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(2194, 1198376, F2, 7, 17) (dual of [(1198376, 7), 8388438, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(2195, 1198377, F2, 7, 17) (dual of [(1198377, 7), 8388444, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(2196, 1198378, F2, 7, 17) (dual of [(1198378, 7), 8388450, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(2197, 1198380, F2, 7, 17) (dual of [(1198380, 7), 8388463, 18]-NRT-code) | [i] | ||
| 14 | Linear OOA(2198, 1198382, F2, 7, 17) (dual of [(1198382, 7), 8388476, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(2199, 1198386, F2, 7, 17) (dual of [(1198386, 7), 8388503, 18]-NRT-code) | [i] | ||
| 16 | Linear OOA(2200, 1198387, F2, 7, 17) (dual of [(1198387, 7), 8388509, 18]-NRT-code) | [i] | ||
| 17 | Linear OOA(2201, 1198390, F2, 7, 17) (dual of [(1198390, 7), 8388529, 18]-NRT-code) | [i] | ||
| 18 | Linear OOA(2202, 1198393, F2, 7, 17) (dual of [(1198393, 7), 8388549, 18]-NRT-code) | [i] | ||
| 19 | Linear OOA(2203, 1198397, F2, 7, 17) (dual of [(1198397, 7), 8388576, 18]-NRT-code) | [i] | ||
| 20 | Linear OOA(2204, 1198401, F2, 7, 17) (dual of [(1198401, 7), 8388603, 18]-NRT-code) | [i] | ||
| 21 | Linear OOA(2205, 1198406, F2, 7, 17) (dual of [(1198406, 7), 8388637, 18]-NRT-code) | [i] | ||
| 22 | Linear OOA(2206, 1198410, F2, 7, 17) (dual of [(1198410, 7), 8388664, 18]-NRT-code) | [i] | ||
| 23 | Linear OOA(2210, 1198415, F2, 7, 17) (dual of [(1198415, 7), 8388695, 18]-NRT-code) | [i] | ||
| 24 | Linear OOA(2211, 1198420, F2, 7, 17) (dual of [(1198420, 7), 8388729, 18]-NRT-code) | [i] | ||
| 25 | Linear OOA(2212, 1198421, F2, 7, 17) (dual of [(1198421, 7), 8388735, 18]-NRT-code) | [i] | ||
| 26 | Linear OOA(2213, 1198424, F2, 7, 17) (dual of [(1198424, 7), 8388755, 18]-NRT-code) | [i] | ||
| 27 | Linear OOA(2214, 1198431, F2, 7, 17) (dual of [(1198431, 7), 8388803, 18]-NRT-code) | [i] | ||
| 28 | Linear OOA(2215, 1198438, F2, 7, 17) (dual of [(1198438, 7), 8388851, 18]-NRT-code) | [i] | ||
| 29 | Linear OOA(2216, 1198442, F2, 7, 17) (dual of [(1198442, 7), 8388878, 18]-NRT-code) | [i] | ||
| 30 | Linear OOA(2217, 1198449, F2, 7, 17) (dual of [(1198449, 7), 8388926, 18]-NRT-code) | [i] | ||
| 31 | Linear OOA(2221, 1198499, F2, 7, 17) (dual of [(1198499, 7), 8389272, 18]-NRT-code) | [i] | ||
| 32 | Linear OOA(2222, 1198501, F2, 7, 17) (dual of [(1198501, 7), 8389285, 18]-NRT-code) | [i] | ||
| 33 | Linear OOA(2223, 1198503, F2, 7, 17) (dual of [(1198503, 7), 8389298, 18]-NRT-code) | [i] | ||
| 34 | Linear OOA(2224, 1198504, F2, 7, 17) (dual of [(1198504, 7), 8389304, 18]-NRT-code) | [i] | ||
| 35 | Linear OOA(2225, 1198627, F2, 7, 17) (dual of [(1198627, 7), 8390164, 18]-NRT-code) | [i] | ||
| 36 | Linear OOA(2226, 1198629, F2, 7, 17) (dual of [(1198629, 7), 8390177, 18]-NRT-code) | [i] | ||
| 37 | Linear OOA(2227, 1198632, F2, 7, 17) (dual of [(1198632, 7), 8390197, 18]-NRT-code) | [i] | ||
| 38 | Linear OOA(2229, 1198883, F2, 7, 17) (dual of [(1198883, 7), 8391952, 18]-NRT-code) | [i] | ||
| 39 | Linear OOA(2230, 1198886, F2, 7, 17) (dual of [(1198886, 7), 8391972, 18]-NRT-code) | [i] | ||
| 40 | Linear OOA(2233, 1199395, F2, 7, 17) (dual of [(1199395, 7), 8395532, 18]-NRT-code) | [i] | ||
| 41 | Linear OOA(2234, 1199398, F2, 7, 17) (dual of [(1199398, 7), 8395552, 18]-NRT-code) | [i] | ||
| 42 | Linear OOA(2237, 1200419, F2, 7, 17) (dual of [(1200419, 7), 8402696, 18]-NRT-code) | [i] | ||
| 43 | Linear OOA(2238, 1200422, F2, 7, 17) (dual of [(1200422, 7), 8402716, 18]-NRT-code) | [i] | ||
| 44 | Linear OOA(2240, 1200423, F2, 7, 17) (dual of [(1200423, 7), 8402721, 18]-NRT-code) | [i] | ||
| 45 | Linear OOA(2241, 1202467, F2, 7, 17) (dual of [(1202467, 7), 8417028, 18]-NRT-code) | [i] | ||
| 46 | Linear OOA(2242, 1202470, F2, 7, 17) (dual of [(1202470, 7), 8417048, 18]-NRT-code) | [i] | ||
| 47 | Linear OOA(2243, 1202471, F2, 7, 17) (dual of [(1202471, 7), 8417054, 18]-NRT-code) | [i] | ||
| 48 | Linear OOA(2245, 1206563, F2, 7, 17) (dual of [(1206563, 7), 8445696, 18]-NRT-code) | [i] | ||
| 49 | Linear OOA(2246, 1206567, F2, 7, 17) (dual of [(1206567, 7), 8445723, 18]-NRT-code) | [i] | ||
| 50 | Linear OOA(2249, 1214755, F2, 7, 17) (dual of [(1214755, 7), 8503036, 18]-NRT-code) | [i] | ||
| 51 | Linear OOA(2250, 1214759, F2, 7, 17) (dual of [(1214759, 7), 8503063, 18]-NRT-code) | [i] | ||
| 52 | Linear OOA(2253, 1231139, F2, 7, 17) (dual of [(1231139, 7), 8617720, 18]-NRT-code) | [i] | ||
| 53 | Linear OOA(2254, 1231143, F2, 7, 17) (dual of [(1231143, 7), 8617747, 18]-NRT-code) | [i] | ||
| 54 | Linear OOA(2256, 1231144, F2, 7, 17) (dual of [(1231144, 7), 8617752, 18]-NRT-code) | [i] | ||
| 55 | Linear OOA(2257, 1263907, F2, 7, 17) (dual of [(1263907, 7), 8847092, 18]-NRT-code) | [i] | ||
| 56 | Linear OOA(2258, 1263911, F2, 7, 17) (dual of [(1263911, 7), 8847119, 18]-NRT-code) | [i] | ||
| 57 | Linear OOA(2259, 1263912, F2, 7, 17) (dual of [(1263912, 7), 8847125, 18]-NRT-code) | [i] | ||
| 58 | Linear OOA(2185, 1198371, F2, 8, 17) (dual of [(1198371, 8), 9586783, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 59 | Digital (168, 185, 1198371)-net over F2 | [i] | ||