Information on Result #700862
Linear OA(345, 121, F3, 15) (dual of [121, 76, 16]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,5,7,11,13,16,17,19,25}, and minimum distance d ≥ |{1,3,5,…,29}|+1 = 16 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(346, 125, F3, 15) (dual of [125, 79, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(347, 131, F3, 15) (dual of [131, 84, 16]-code) | [i] | ||
| 3 | Linear OA(348, 139, F3, 15) (dual of [139, 91, 16]-code) | [i] | ||
| 4 | Linear OA(349, 149, F3, 15) (dual of [149, 100, 16]-code) | [i] | ||
| 5 | Linear OA(359, 126, F3, 20) (dual of [126, 67, 21]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(360, 132, F3, 20) (dual of [132, 72, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(362, 138, F3, 20) (dual of [138, 76, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(366, 128, F3, 22) (dual of [128, 62, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(355, 137, F3, 17) (dual of [137, 82, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(354, 135, F3, 17) (dual of [135, 81, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(353, 131, F3, 17) (dual of [131, 78, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(346, 123, F3, 15) (dual of [123, 77, 16]-code) | [i] | Construction X with Varšamov Bound | |
| 13 | Linear OOA(345, 60, F3, 2, 15) (dual of [(60, 2), 75, 16]-NRT-code) | [i] | OOA Folding | |