Information on Result #730145
Linear OA(8137, 410, F81, 21) (dual of [410, 373, 22]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {31,32,…,51}, and designed minimum distance d ≥ |I|+1 = 22
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(8136, 409, F81, 20) (dual of [409, 373, 21]-code) | [i] | Truncation | |
| 2 | Linear OOA(8137, 401, F81, 2, 21) (dual of [(401, 2), 765, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8137, 401, F81, 3, 21) (dual of [(401, 3), 1166, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(8137, 401, F81, 4, 21) (dual of [(401, 4), 1567, 22]-NRT-code) | [i] | ||
| 5 | Digital (16, 37, 401)-net over F81 | [i] | ||
| 6 | Linear OA(8138, 452, F81, 21) (dual of [452, 414, 22]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(8138, 413, F81, 21) (dual of [413, 375, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(8139, 412, F81, 22) (dual of [412, 373, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(8142, 415, F81, 23) (dual of [415, 373, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(8140, 415, F81, 22) (dual of [415, 375, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(8141, 414, F81, 23) (dual of [414, 373, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(8144, 417, F81, 24) (dual of [417, 373, 25]-code) | [i] | ✔ | |
| 13 | Linear OOA(8137, 205, F81, 2, 21) (dual of [(205, 2), 373, 22]-NRT-code) | [i] | OOA Folding | |