Information on Result #611113
Linear OA(2169, 2097153, F2, 17) (dual of [2097153, 2096984, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2168, 2097152, F2, 16) (dual of [2097152, 2096984, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(2177, 2097162, F2, 17) (dual of [2097162, 2096985, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2214, 2097157, F2, 21) (dual of [2097157, 2096943, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(2215, 2097161, F2, 21) (dual of [2097161, 2096946, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(2216, 2097169, F2, 21) (dual of [2097169, 2096953, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(2217, 2097185, F2, 21) (dual of [2097185, 2096968, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(2218, 2097202, F2, 21) (dual of [2097202, 2096984, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(2172, 2097157, F2, 17) (dual of [2097157, 2096985, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(2173, 2097161, F2, 17) (dual of [2097161, 2096988, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(2174, 2097169, F2, 17) (dual of [2097169, 2096995, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(2175, 2097185, F2, 17) (dual of [2097185, 2097010, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(2176, 2097202, F2, 17) (dual of [2097202, 2097026, 18]-code) | [i] | ✔ | |
| 13 | Linear OOA(2169, 699051, F2, 3, 17) (dual of [(699051, 3), 2096984, 18]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(2169, 262144, F2, 17, 17) (dual of [(262144, 17), 4456279, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |