Information on Result #611104
Linear OA(2145, 262145, F2, 17) (dual of [262145, 262000, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, 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(2144, 262144, F2, 16) (dual of [262144, 262000, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(2153, 262154, F2, 17) (dual of [262154, 262001, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2184, 262149, F2, 21) (dual of [262149, 261965, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(2185, 262153, F2, 21) (dual of [262153, 261968, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(2186, 262161, F2, 21) (dual of [262161, 261975, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(2187, 262177, F2, 21) (dual of [262177, 261990, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(2188, 262188, F2, 21) (dual of [262188, 262000, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(2148, 262149, F2, 17) (dual of [262149, 262001, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(2149, 262153, F2, 17) (dual of [262153, 262004, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(2150, 262161, F2, 17) (dual of [262161, 262011, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(2151, 262177, F2, 17) (dual of [262177, 262026, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(2152, 262188, F2, 17) (dual of [262188, 262036, 18]-code) | [i] | ✔ | |
| 13 | Linear OOA(2145, 52429, F2, 5, 17) (dual of [(52429, 5), 262000, 18]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(2145, 32768, F2, 17, 17) (dual of [(32768, 17), 556911, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |