Information on Result #614950
Linear OA(829, 65, F8, 19) (dual of [65, 36, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(829, 65, F8, 18) (dual of [65, 36, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(830, 66, F8, 19) (dual of [66, 36, 20]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(826, 62, F8, 16) (dual of [62, 36, 17]-code) | [i] | Truncation | |
| 4 | Linear OA(825, 61, F8, 15) (dual of [61, 36, 16]-code) | [i] | ||
| 5 | Linear OA(836, 81, F8, 19) (dual of [81, 45, 20]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(837, 88, F8, 19) (dual of [88, 51, 20]-code) | [i] | ||
| 7 | Linear OA(837, 74, F8, 19) (dual of [74, 37, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(834, 70, F8, 21) (dual of [70, 36, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(834, 74, F8, 19) (dual of [74, 40, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(840, 75, F8, 23) (dual of [75, 35, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(841, 77, F8, 23) (dual of [77, 36, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(837, 79, F8, 19) (dual of [79, 42, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(848, 84, F8, 25) (dual of [84, 36, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(847, 80, F8, 25) (dual of [80, 33, 26]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 15 | Linear OA(840, 77, F8, 21) (dual of [77, 37, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(835, 76, F8, 18) (dual of [76, 41, 19]-code) | [i] | ✔ | |