Information on Result #1165588
Linear OOA(2208, 1048575, F2, 8, 19) (dual of [(1048575, 8), 8388392, 20]-NRT-code), using OOA 8-folding based on linear OA(2208, 8388600, F2, 19) (dual of [8388600, 8388392, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [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(2208, 1048575, F2, 8, 18) (dual of [(1048575, 8), 8388392, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2209, 1048575, F2, 8, 19) (dual of [(1048575, 8), 8388391, 20]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2210, 1048575, F2, 8, 19) (dual of [(1048575, 8), 8388390, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(2211, 1048575, F2, 8, 19) (dual of [(1048575, 8), 8388389, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(2212, 1048575, F2, 8, 19) (dual of [(1048575, 8), 8388388, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(2213, 1048575, F2, 8, 19) (dual of [(1048575, 8), 8388387, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(2217, 1048578, F2, 8, 19) (dual of [(1048578, 8), 8388407, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(2218, 1048580, F2, 8, 19) (dual of [(1048580, 8), 8388422, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(2219, 1048581, F2, 8, 19) (dual of [(1048581, 8), 8388429, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(2220, 1048582, F2, 8, 19) (dual of [(1048582, 8), 8388436, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(2221, 1048583, F2, 8, 19) (dual of [(1048583, 8), 8388443, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(2222, 1048585, F2, 8, 19) (dual of [(1048585, 8), 8388458, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(2223, 1048587, F2, 8, 19) (dual of [(1048587, 8), 8388473, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(2224, 1048589, F2, 8, 19) (dual of [(1048589, 8), 8388488, 20]-NRT-code) | [i] | ||
| 15 | Linear OOA(2225, 1048592, F2, 8, 19) (dual of [(1048592, 8), 8388511, 20]-NRT-code) | [i] | ||
| 16 | Linear OOA(2226, 1048595, F2, 8, 19) (dual of [(1048595, 8), 8388534, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(2227, 1048598, F2, 8, 19) (dual of [(1048598, 8), 8388557, 20]-NRT-code) | [i] | ||
| 18 | Linear OOA(2228, 1048601, F2, 8, 19) (dual of [(1048601, 8), 8388580, 20]-NRT-code) | [i] | ||
| 19 | Linear OOA(2229, 1048604, F2, 8, 19) (dual of [(1048604, 8), 8388603, 20]-NRT-code) | [i] | ||
| 20 | Linear OOA(2233, 1048609, F2, 8, 19) (dual of [(1048609, 8), 8388639, 20]-NRT-code) | [i] | ||
| 21 | Linear OOA(2234, 1048612, F2, 8, 19) (dual of [(1048612, 8), 8388662, 20]-NRT-code) | [i] | ||
| 22 | Linear OOA(2235, 1048615, F2, 8, 19) (dual of [(1048615, 8), 8388685, 20]-NRT-code) | [i] | ||
| 23 | Linear OOA(2236, 1048621, F2, 8, 19) (dual of [(1048621, 8), 8388732, 20]-NRT-code) | [i] | ||
| 24 | Linear OOA(2237, 1048624, F2, 8, 19) (dual of [(1048624, 8), 8388755, 20]-NRT-code) | [i] | ||
| 25 | Linear OOA(2238, 1048627, F2, 8, 19) (dual of [(1048627, 8), 8388778, 20]-NRT-code) | [i] | ||
| 26 | Linear OOA(2239, 1048633, F2, 8, 19) (dual of [(1048633, 8), 8388825, 20]-NRT-code) | [i] | ||
| 27 | Linear OOA(2241, 1048639, F2, 8, 19) (dual of [(1048639, 8), 8388871, 20]-NRT-code) | [i] | ||
| 28 | Linear OOA(2242, 1048641, F2, 8, 19) (dual of [(1048641, 8), 8388886, 20]-NRT-code) | [i] | ||
| 29 | Linear OOA(2243, 1048643, F2, 8, 19) (dual of [(1048643, 8), 8388901, 20]-NRT-code) | [i] | ||
| 30 | Linear OOA(2244, 1048647, F2, 8, 19) (dual of [(1048647, 8), 8388932, 20]-NRT-code) | [i] | ||
| 31 | Linear OOA(2245, 1048703, F2, 8, 19) (dual of [(1048703, 8), 8389379, 20]-NRT-code) | [i] | ||
| 32 | Linear OOA(2246, 1048705, F2, 8, 19) (dual of [(1048705, 8), 8389394, 20]-NRT-code) | [i] | ||
| 33 | Linear OOA(2247, 1048707, F2, 8, 19) (dual of [(1048707, 8), 8389409, 20]-NRT-code) | [i] | ||
| 34 | Linear OOA(2248, 1048708, F2, 8, 19) (dual of [(1048708, 8), 8389416, 20]-NRT-code) | [i] | ||
| 35 | Linear OOA(2249, 1048831, F2, 8, 19) (dual of [(1048831, 8), 8390399, 20]-NRT-code) | [i] | ||
| 36 | Linear OOA(2250, 1048833, F2, 8, 19) (dual of [(1048833, 8), 8390414, 20]-NRT-code) | [i] | ||
| 37 | Linear OOA(2251, 1048836, F2, 8, 19) (dual of [(1048836, 8), 8390437, 20]-NRT-code) | [i] | ||
| 38 | Linear OOA(2253, 1049087, F2, 8, 19) (dual of [(1049087, 8), 8392443, 20]-NRT-code) | [i] | ||
| 39 | Linear OOA(2254, 1049090, F2, 8, 19) (dual of [(1049090, 8), 8392466, 20]-NRT-code) | [i] | ||
| 40 | Linear OOA(2257, 1049599, F2, 8, 19) (dual of [(1049599, 8), 8396535, 20]-NRT-code) | [i] | ||
| 41 | Linear OOA(2258, 1049602, F2, 8, 19) (dual of [(1049602, 8), 8396558, 20]-NRT-code) | [i] | ||