Information on Result #700889
Linear OA(340, 121, F3, 13) (dual of [121, 81, 14]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,10,16,19,22,25,26,31}, and minimum distance d ≥ |{−30,−10,10,…,−32}|+1 = 14 (BCH-bound)
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- BCH-Codes [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(339, 120, F3, 12) (dual of [120, 81, 13]-code) | [i] | Truncation | |
| 2 | Linear OOA(340, 112, F3, 2, 13) (dual of [(112, 2), 184, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(340, 112, F3, 3, 13) (dual of [(112, 3), 296, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(340, 112, F3, 4, 13) (dual of [(112, 4), 408, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(340, 112, F3, 5, 13) (dual of [(112, 5), 520, 14]-NRT-code) | [i] | ||
| 6 | Digital (27, 40, 112)-net over F3 | [i] | ||
| 7 | Linear OA(345, 126, F3, 14) (dual of [126, 81, 15]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(355, 136, F3, 17) (dual of [136, 81, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(359, 136, F3, 18) (dual of [136, 77, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OOA(340, 60, F3, 2, 13) (dual of [(60, 2), 80, 14]-NRT-code) | [i] | OOA Folding | |