Information on Result #614978
Linear OA(833, 65, F8, 21) (dual of [65, 32, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(841, 74, F8, 21) (dual of [74, 33, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(838, 70, F8, 23) (dual of [70, 32, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(834, 70, F8, 21) (dual of [70, 36, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(844, 75, F8, 25) (dual of [75, 31, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(845, 77, F8, 25) (dual of [77, 32, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(841, 79, F8, 21) (dual of [79, 38, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(847, 80, F8, 25) (dual of [80, 33, 26]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 8 | Linear OA(840, 77, F8, 21) (dual of [77, 37, 22]-code) | [i] | ✔ | |