Information on Result #611378
Linear OA(277, 85, F2, 39) (dual of [85, 8, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 28−1, defining interval I = [0,36], and minimum distance d ≥ |{−2,−1,…,36}|+1 = 40 (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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2162, 170, F2, 79) (dual of [170, 8, 80]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(238, 45, F2, 19) (dual of [45, 7, 20]-code) | [i] | Residual Code | |
| 3 | Linear OA(279, 88, F2, 39) (dual of [88, 9, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(291, 108, F2, 39) (dual of [108, 17, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(288, 105, F2, 37) (dual of [105, 17, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(280, 97, F2, 33) (dual of [97, 17, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(281, 98, F2, 33) (dual of [98, 17, 34]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 8 | Linear OOA(277, 17, F2, 5, 39) (dual of [(17, 5), 8, 40]-NRT-code) | [i] | OOA Folding | |