Information on Result #1151029
Linear OOA(2162, 1198371, F2, 7, 15) (dual of [(1198371, 7), 8388435, 16]-NRT-code), using OOA 7-folding based on linear OA(2162, 8388597, F2, 15) (dual of [8388597, 8388435, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(2162, 1198371, F2, 7, 14) (dual of [(1198371, 7), 8388435, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2163, 1198371, F2, 7, 15) (dual of [(1198371, 7), 8388434, 16]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2164, 1198371, F2, 7, 15) (dual of [(1198371, 7), 8388433, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(2165, 1198371, F2, 7, 15) (dual of [(1198371, 7), 8388432, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(2166, 1198371, F2, 7, 15) (dual of [(1198371, 7), 8388431, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(2167, 1198371, F2, 7, 15) (dual of [(1198371, 7), 8388430, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(2168, 1198371, F2, 7, 15) (dual of [(1198371, 7), 8388429, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(2169, 1198374, F2, 7, 15) (dual of [(1198374, 7), 8388449, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(2170, 1198376, F2, 7, 15) (dual of [(1198376, 7), 8388462, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(2171, 1198377, F2, 7, 15) (dual of [(1198377, 7), 8388468, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(2172, 1198378, F2, 7, 15) (dual of [(1198378, 7), 8388474, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(2173, 1198382, F2, 7, 15) (dual of [(1198382, 7), 8388501, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(2174, 1198384, F2, 7, 15) (dual of [(1198384, 7), 8388514, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(2175, 1198387, F2, 7, 15) (dual of [(1198387, 7), 8388534, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(2176, 1198391, F2, 7, 15) (dual of [(1198391, 7), 8388561, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(2177, 1198394, F2, 7, 15) (dual of [(1198394, 7), 8388581, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(2178, 1198399, F2, 7, 15) (dual of [(1198399, 7), 8388615, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(2179, 1198405, F2, 7, 15) (dual of [(1198405, 7), 8388656, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(2180, 1198412, F2, 7, 15) (dual of [(1198412, 7), 8388704, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(2181, 1198418, F2, 7, 15) (dual of [(1198418, 7), 8388745, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(2182, 1198433, F2, 7, 15) (dual of [(1198433, 7), 8388849, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(2183, 1198435, F2, 7, 15) (dual of [(1198435, 7), 8388862, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(2185, 1198498, F2, 7, 15) (dual of [(1198498, 7), 8389301, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(2188, 1198625, F2, 7, 15) (dual of [(1198625, 7), 8390187, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(2191, 1198881, F2, 7, 15) (dual of [(1198881, 7), 8391976, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(2194, 1199393, F2, 7, 15) (dual of [(1199393, 7), 8395557, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(2197, 1200418, F2, 7, 15) (dual of [(1200418, 7), 8402729, 16]-NRT-code) | [i] | ||
| 28 | Linear OOA(2200, 1202465, F2, 7, 15) (dual of [(1202465, 7), 8417055, 16]-NRT-code) | [i] | ||
| 29 | Linear OOA(2203, 1206562, F2, 7, 15) (dual of [(1206562, 7), 8445731, 16]-NRT-code) | [i] | ||
| 30 | Linear OOA(2206, 1214753, F2, 7, 15) (dual of [(1214753, 7), 8503065, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(2209, 1231137, F2, 7, 15) (dual of [(1231137, 7), 8617750, 16]-NRT-code) | [i] | ||
| 32 | Linear OOA(2212, 1263905, F2, 7, 15) (dual of [(1263905, 7), 8847123, 16]-NRT-code) | [i] | ||
| 33 | Linear OOA(2215, 1329442, F2, 7, 15) (dual of [(1329442, 7), 9305879, 16]-NRT-code) | [i] | ||
| 34 | Linear OOA(2218, 1460513, F2, 7, 15) (dual of [(1460513, 7), 10223373, 16]-NRT-code) | [i] | ||
| 35 | Linear OOA(2221, 1722658, F2, 7, 15) (dual of [(1722658, 7), 12058385, 16]-NRT-code) | [i] | ||
| 36 | Linear OOA(2224, 2246945, F2, 7, 15) (dual of [(2246945, 7), 15728391, 16]-NRT-code) | [i] | ||
| 37 | Linear OOA(2227, 2396742, F2, 7, 15) (dual of [(2396742, 7), 16776967, 16]-NRT-code) | [i] | ||