Information on Result #700811
Linear OA(374, 80, F3, 50) (dual of [80, 6, 51]-code), using the primitive cyclic code C(A) with length 80 = 34−1, defining set A = {0,1,2,4,5,7,8,10,11,13,14,16,17,20,22,23,25,26,40,44,53}, and minimum distance d ≥ |{−9,−8,…,40}|+1 = 51 (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
- Contraction (with Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(391, 106, F3, 51) (dual of [106, 15, 52]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(393, 107, F3, 53) (dual of [107, 14, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(391, 105, F3, 52) (dual of [105, 14, 53]-code) | [i] | ✔ | |
| 4 | Linear OOA(374, 40, F3, 2, 50) (dual of [(40, 2), 6, 51]-NRT-code) | [i] | OOA Folding | |