Information on Result #700861
Linear OA(355, 121, F3, 20) (dual of [121, 66, 21]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,5,7,11,13,16,17,19,25,31,35}, and minimum distance d ≥ |{1,3,5,…,39}|+1 = 21 (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]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(355, 121, F3, 19) (dual of [121, 66, 20]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(356, 122, F3, 20) (dual of [122, 66, 21]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(354, 120, F3, 19) (dual of [120, 66, 20]-code) | [i] | Truncation | |
| 4 | Linear OA(353, 119, F3, 18) (dual of [119, 66, 19]-code) | [i] | ||
| 5 | Linear OA(359, 132, F3, 20) (dual of [132, 73, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(360, 138, F3, 20) (dual of [138, 78, 21]-code) | [i] | ||
| 7 | Linear OA(361, 145, F3, 20) (dual of [145, 84, 21]-code) | [i] | ||
| 8 | Linear OA(362, 153, F3, 20) (dual of [153, 91, 21]-code) | [i] | ||
| 9 | Linear OA(359, 126, F3, 20) (dual of [126, 67, 21]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(360, 132, F3, 20) (dual of [132, 72, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(362, 138, F3, 20) (dual of [138, 76, 21]-code) | [i] | ✔ | |
| 12 | Linear OOA(355, 60, F3, 2, 20) (dual of [(60, 2), 65, 21]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(355, 40, F3, 3, 20) (dual of [(40, 3), 65, 21]-NRT-code) | [i] | ||