Information on Result #713311
Linear OA(737, 342, F7, 15) (dual of [342, 305, 16]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {43,44,…,57}, and designed minimum distance d ≥ |I|+1 = 16
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 OOA(737, 200, F7, 2, 15) (dual of [(200, 2), 363, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(737, 200, F7, 3, 15) (dual of [(200, 3), 563, 16]-NRT-code) | [i] | ||
| 3 | Digital (22, 37, 200)-net over F7 | [i] | ||
| 4 | Linear OA(747, 367, F7, 16) (dual of [367, 320, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(746, 363, F7, 16) (dual of [363, 317, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(744, 358, F7, 16) (dual of [358, 314, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(743, 353, F7, 16) (dual of [353, 310, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(742, 353, F7, 16) (dual of [353, 311, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(748, 362, F7, 17) (dual of [362, 314, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(741, 349, F7, 16) (dual of [349, 308, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(746, 357, F7, 17) (dual of [357, 311, 18]-code) | [i] | ✔ | |
| 12 | Linear OOA(737, 114, F7, 3, 15) (dual of [(114, 3), 305, 16]-NRT-code) | [i] | OOA Folding | |