Information on Result #701551
Linear OA(840, 65, F8, 28) (dual of [65, 25, 29]-code), using the cyclic code C(A) with length 65 | 84−1, defining set A = {3,4,5,6,10,11,12,13,14,19}, and minimum distance d ≥ |{12,40,3,…,−12}|+1 = 29 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- BCH-Codes [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 | |
| 10 | Linear OA(845, 70, F8, 30) (dual of [70, 25, 31]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 11 | Linear OA(867, 91, F8, 39) (dual of [91, 24, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(868, 93, F8, 39) (dual of [93, 25, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(851, 75, F8, 32) (dual of [75, 24, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(852, 77, F8, 32) (dual of [77, 25, 33]-code) | [i] | ✔ | |