Information on Result #700906
Linear OA(350, 121, F3, 17) (dual of [121, 71, 18]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,5,7,11,13,16,17,19,25,40}, and minimum distance d ≥ |{−3,−1,1,…,29}|+1 = 18 (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]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(352, 131, F3, 17) (dual of [131, 79, 18]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(353, 138, F3, 17) (dual of [138, 85, 18]-code) | [i] | ||
| 3 | Linear OA(354, 147, F3, 17) (dual of [147, 93, 18]-code) | [i] | ||
| 4 | Linear OA(355, 157, F3, 17) (dual of [157, 102, 18]-code) | [i] | ||
| 5 | Linear OA(355, 137, F3, 17) (dual of [137, 82, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(354, 135, F3, 17) (dual of [135, 81, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(353, 131, F3, 17) (dual of [131, 78, 18]-code) | [i] | ✔ | |
| 8 | Linear OOA(350, 60, F3, 2, 17) (dual of [(60, 2), 70, 18]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(350, 40, F3, 3, 17) (dual of [(40, 3), 70, 18]-NRT-code) | [i] | ||