Information on Result #620505
Linear OA(840, 65, F8, 28) (dual of [65, 25, 29]-code), using the BCH-code C(I) with length 65 | 84−1, defining interval I = {−8,−5,−2,…,8}, and designed minimum distance d ≥ |I|+1 = 29
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
- Cyclic Codes (BCH-Bound) (hidden) [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(840, 65, F8, 27) (dual of [65, 25, 28]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(840, 65, F8, 26) (dual of [65, 25, 27]-code) | [i] | ||
| 3 | Linear OA(841, 66, F8, 28) (dual of [66, 25, 29]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(837, 62, F8, 25) (dual of [62, 25, 26]-code) | [i] | Truncation | |
| 5 | Linear OA(836, 61, F8, 24) (dual of [61, 25, 25]-code) | [i] | ||
| 6 | Linear OA(835, 60, F8, 23) (dual of [60, 25, 24]-code) | [i] | ||
| 7 | Linear OA(834, 59, F8, 22) (dual of [59, 25, 23]-code) | [i] | ||
| 8 | Linear OA(8105, 130, F8, 57) (dual of [130, 25, 58]-code) | [i] | Repeating Each Code Word | |
| 9 | Linear OA(2185, 260, F2, 57) (dual of [260, 75, 58]-code) | [i] | Concatenation of Two Codes | |