Information on Result #1095421
Linear OOA(2161, 1677720, F2, 5, 14) (dual of [(1677720, 5), 8388439, 15]-NRT-code), using OOA 5-folding based on linear OA(2161, 8388600, F2, 14) (dual of [8388600, 8388439, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(2166, 1677721, F2, 5, 14) (dual of [(1677721, 5), 8388439, 15]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2163, 1677720, F2, 5, 14) (dual of [(1677720, 5), 8388437, 15]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2164, 1677720, F2, 5, 14) (dual of [(1677720, 5), 8388436, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(2165, 1677720, F2, 5, 14) (dual of [(1677720, 5), 8388435, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(2168, 1677723, F2, 5, 14) (dual of [(1677723, 5), 8388447, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2169, 1677725, F2, 5, 14) (dual of [(1677725, 5), 8388456, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(2170, 1677726, F2, 5, 14) (dual of [(1677726, 5), 8388460, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(2171, 1677727, F2, 5, 14) (dual of [(1677727, 5), 8388464, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(2172, 1677731, F2, 5, 14) (dual of [(1677731, 5), 8388483, 15]-NRT-code) | [i] | ||
| 10 | Linear OOA(2173, 1677733, F2, 5, 14) (dual of [(1677733, 5), 8388492, 15]-NRT-code) | [i] | ||
| 11 | Linear OOA(2174, 1677736, F2, 5, 14) (dual of [(1677736, 5), 8388506, 15]-NRT-code) | [i] | ||
| 12 | Linear OOA(2175, 1677740, F2, 5, 14) (dual of [(1677740, 5), 8388525, 15]-NRT-code) | [i] | ||
| 13 | Linear OOA(2176, 1677743, F2, 5, 14) (dual of [(1677743, 5), 8388539, 15]-NRT-code) | [i] | ||
| 14 | Linear OOA(2177, 1677748, F2, 5, 14) (dual of [(1677748, 5), 8388563, 15]-NRT-code) | [i] | ||
| 15 | Linear OOA(2178, 1677754, F2, 5, 14) (dual of [(1677754, 5), 8388592, 15]-NRT-code) | [i] | ||
| 16 | Linear OOA(2179, 1677761, F2, 5, 14) (dual of [(1677761, 5), 8388626, 15]-NRT-code) | [i] | ||
| 17 | Linear OOA(2180, 1677767, F2, 5, 14) (dual of [(1677767, 5), 8388655, 15]-NRT-code) | [i] | ||
| 18 | Linear OOA(2181, 1677782, F2, 5, 14) (dual of [(1677782, 5), 8388729, 15]-NRT-code) | [i] | ||
| 19 | Linear OOA(2182, 1677784, F2, 5, 14) (dual of [(1677784, 5), 8388738, 15]-NRT-code) | [i] | ||
| 20 | Linear OOA(2184, 1677847, F2, 5, 14) (dual of [(1677847, 5), 8389051, 15]-NRT-code) | [i] | ||
| 21 | Linear OOA(2187, 1677974, F2, 5, 14) (dual of [(1677974, 5), 8389683, 15]-NRT-code) | [i] | ||
| 22 | Linear OOA(2190, 1678230, F2, 5, 14) (dual of [(1678230, 5), 8390960, 15]-NRT-code) | [i] | ||
| 23 | Linear OOA(2193, 1678742, F2, 5, 14) (dual of [(1678742, 5), 8393517, 15]-NRT-code) | [i] | ||
| 24 | Linear OOA(2196, 1679767, F2, 5, 14) (dual of [(1679767, 5), 8398639, 15]-NRT-code) | [i] | ||
| 25 | Linear OOA(2199, 1681814, F2, 5, 14) (dual of [(1681814, 5), 8408871, 15]-NRT-code) | [i] | ||
| 26 | Linear OOA(2202, 1685911, F2, 5, 14) (dual of [(1685911, 5), 8429353, 15]-NRT-code) | [i] | ||
| 27 | Linear OOA(2205, 1694102, F2, 5, 14) (dual of [(1694102, 5), 8470305, 15]-NRT-code) | [i] | ||
| 28 | Linear OOA(2208, 1710486, F2, 5, 14) (dual of [(1710486, 5), 8552222, 15]-NRT-code) | [i] | ||
| 29 | Linear OOA(2211, 1743254, F2, 5, 14) (dual of [(1743254, 5), 8716059, 15]-NRT-code) | [i] | ||
| 30 | Linear OOA(2214, 1808791, F2, 5, 14) (dual of [(1808791, 5), 9043741, 15]-NRT-code) | [i] | ||
| 31 | Linear OOA(2217, 1939862, F2, 5, 14) (dual of [(1939862, 5), 9699093, 15]-NRT-code) | [i] | ||
| 32 | Linear OOA(2220, 2202007, F2, 5, 14) (dual of [(2202007, 5), 11009815, 15]-NRT-code) | [i] | ||
| 33 | Linear OOA(2223, 2726294, F2, 5, 14) (dual of [(2726294, 5), 13631247, 15]-NRT-code) | [i] | ||
| 34 | Linear OOA(2226, 3355440, F2, 5, 14) (dual of [(3355440, 5), 16776974, 15]-NRT-code) | [i] | ||
| 35 | Linear OOA(2161, 1677720, F2, 6, 14) (dual of [(1677720, 6), 10066159, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 36 | Linear OOA(2161, 1677720, F2, 7, 14) (dual of [(1677720, 7), 11743879, 15]-NRT-code) | [i] | ||
| 37 | Linear OOA(2161, 1677720, F2, 8, 14) (dual of [(1677720, 8), 13421599, 15]-NRT-code) | [i] | ||
| 38 | Digital (147, 161, 1677720)-net over F2 | [i] | ||