Information on Result #700868
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 = {1,4,7,8,10,13,16,19,22,25,26}, and minimum distance d ≥ |{10,30,50,…,27}|+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(356, 127, F3, 19) (dual of [127, 71, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(357, 125, F3, 20) (dual of [125, 68, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(358, 129, F3, 20) (dual of [129, 71, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(360, 126, F3, 21) (dual of [126, 66, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(361, 127, F3, 22) (dual of [127, 66, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(367, 125, F3, 23) (dual of [125, 58, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(368, 134, F3, 23) (dual of [134, 66, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(368, 144, F3, 22) (dual of [144, 76, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 17 | Linear OA(367, 141, F3, 22) (dual of [141, 74, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(366, 138, F3, 22) (dual of [138, 72, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(364, 135, F3, 22) (dual of [135, 71, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(362, 133, F3, 21) (dual of [133, 71, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(363, 131, F3, 22) (dual of [131, 68, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(371, 142, F3, 23) (dual of [142, 71, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(366, 132, F3, 23) (dual of [132, 66, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(372, 138, F3, 24) (dual of [138, 66, 25]-code) | [i] | ✔ | |
| 25 | Linear OOA(355, 60, F3, 2, 20) (dual of [(60, 2), 65, 21]-NRT-code) | [i] | OOA Folding | |
| 26 | Linear OOA(355, 40, F3, 3, 20) (dual of [(40, 3), 65, 21]-NRT-code) | [i] | ||