Information on Result #610918
Linear OA(216, 21, F2, 9) (dual of [21, 5, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 21 | 26−1, defining interval I = [0,6], and minimum distance d ≥ |{−2,−1,…,6}|+1 = 10 (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(215, 20, F2, 8) (dual of [20, 5, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(218, 24, F2, 9) (dual of [24, 6, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2251, 277, F2, 105) (dual of [277, 26, 106]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(2115, 149, F2, 41) (dual of [149, 34, 42]-code) | [i] | ||
| 5 | Linear OA(2251, 276, F2, 105) (dual of [276, 25, 106]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 6 | Linear OOA(216, 7, F2, 3, 9) (dual of [(7, 3), 5, 10]-NRT-code) | [i] | OOA Folding | |