Information on Result #730325
Linear OA(8131, 656, F81, 17) (dual of [656, 625, 18]-code), using the BCH-code C(I) with length 656 | 812−1, defining interval I = {33,34,…,49}, and designed minimum distance d ≥ |I|+1 = 18
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.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8130, 655, F81, 16) (dual of [655, 625, 17]-code) | [i] | Truncation | |
| 2 | Linear OOA(8131, 520, F81, 2, 17) (dual of [(520, 2), 1009, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8131, 520, F81, 3, 17) (dual of [(520, 3), 1529, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(8131, 520, F81, 4, 17) (dual of [(520, 4), 2049, 18]-NRT-code) | [i] | ||
| 5 | Digital (14, 31, 520)-net over F81 | [i] | ||
| 6 | Linear OA(8133, 658, F81, 18) (dual of [658, 625, 19]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(8135, 660, F81, 19) (dual of [660, 625, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OOA(8131, 328, F81, 2, 17) (dual of [(328, 2), 625, 18]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(8131, 218, F81, 3, 17) (dual of [(218, 3), 623, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(8131, 164, F81, 4, 17) (dual of [(164, 4), 625, 18]-NRT-code) | [i] | ||