Information on Result #700741
Linear OA(335, 80, F3, 14) (dual of [80, 45, 15]-code), using the primitive cyclic code C(A) with length 80 = 34−1, defining set A = {0,1,2,4,5,7,8,10,26,53}, and minimum distance d ≥ |{−3,−2,…,10}|+1 = 15 (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
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(343, 106, F3, 14) (dual of [106, 63, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(342, 101, F3, 14) (dual of [101, 59, 15]-code) | [i] | ✔ | |
| 3 | Linear OA(341, 100, F3, 14) (dual of [100, 59, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(338, 93, F3, 14) (dual of [93, 55, 15]-code) | [i] | ✔ | |
| 5 | Linear OA(345, 99, F3, 16) (dual of [99, 54, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(343, 96, F3, 16) (dual of [96, 53, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(341, 94, F3, 15) (dual of [94, 53, 16]-code) | [i] | ✔ | |