Information on Result #713483
Linear OA(742, 342, F7, 16) (dual of [342, 300, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(742, 293, F7, 2, 16) (dual of [(293, 2), 544, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(742, 293, F7, 3, 16) (dual of [(293, 3), 837, 17]-NRT-code) | [i] | ||
| 3 | Digital (26, 42, 293)-net over F7 | [i] | ||
| 4 | Linear OA(748, 354, F7, 18) (dual of [354, 306, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(757, 363, F7, 20) (dual of [363, 306, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(783, 383, F7, 27) (dual of [383, 300, 28]-code) | [i] | ✔ | |