Information on Result #611116
Linear OA(2177, 4194305, F2, 17) (dual of [4194305, 4194128, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 244−1, 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(2176, 4194304, F2, 16) (dual of [4194304, 4194128, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(2185, 4194314, F2, 17) (dual of [4194314, 4194129, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2224, 4194309, F2, 21) (dual of [4194309, 4194085, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(2225, 4194313, F2, 21) (dual of [4194313, 4194088, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(2226, 4194321, F2, 21) (dual of [4194321, 4194095, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(2227, 4194337, F2, 21) (dual of [4194337, 4194110, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(2228, 4194356, F2, 21) (dual of [4194356, 4194128, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(2180, 4194309, F2, 17) (dual of [4194309, 4194129, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(2181, 4194313, F2, 17) (dual of [4194313, 4194132, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(2182, 4194321, F2, 17) (dual of [4194321, 4194139, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(2183, 4194337, F2, 17) (dual of [4194337, 4194154, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(2184, 4194356, F2, 17) (dual of [4194356, 4194172, 18]-code) | [i] | ✔ | |
| 13 | Linear OOA(2177, 838861, F2, 5, 17) (dual of [(838861, 5), 4194128, 18]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(2177, 524288, F2, 17, 17) (dual of [(524288, 17), 8912719, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |