Information on Result #614556
Linear OA(755, 86, F7, 29) (dual of [86, 31, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 86 | 76−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(755, 86, F7, 28) (dual of [86, 31, 29]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(756, 87, F7, 29) (dual of [87, 31, 30]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(757, 88, F7, 29) (dual of [88, 31, 30]-code) | [i] | ||
| 4 | Linear OA(754, 85, F7, 28) (dual of [85, 31, 29]-code) | [i] | Truncation | |
| 5 | Linear OA(753, 84, F7, 27) (dual of [84, 31, 28]-code) | [i] | ||
| 6 | Linear OA(767, 99, F7, 29) (dual of [99, 32, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OOA(755, 43, F7, 2, 29) (dual of [(43, 2), 31, 30]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(755, 28, F7, 3, 29) (dual of [(28, 3), 29, 30]-NRT-code) | [i] | ||