Information on Result #611520
Linear OA(2209, 217, F2, 107) (dual of [217, 8, 108]-code), using the expurgated narrow-sense BCH-code C(I) with length 217 | 215−1, defining interval I = [0,92], and minimum distance d ≥ |{−11,−8,−5,…,90}|+1 = 108 (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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2209, 217, F2, 106) (dual of [217, 8, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2209, 217, F2, 105) (dual of [217, 8, 106]-code) | [i] | ||
| 3 | Linear OA(2210, 218, F2, 107) (dual of [218, 8, 108]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(2208, 216, F2, 106) (dual of [216, 8, 107]-code) | [i] | Truncation | |
| 5 | Linear OA(2207, 215, F2, 105) (dual of [215, 8, 106]-code) | [i] | ||
| 6 | Linear OA(2223, 232, F2, 107) (dual of [232, 9, 108]-code) | [i] | ✔ | Construction X with Cyclic Codes |