Information on Result #700805
Linear OA(370, 80, F3, 44) (dual of [80, 10, 45]-code), using the primitive cyclic code C(A) with length 80 = 34−1, defining set A = {0,1,2,4,5,7,8,10,11,13,14,16,17,20,22,23,25,26,40,53}, and minimum distance d ≥ |{−3,−2,…,40}|+1 = 45 (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(3149, 158, F3, 89) (dual of [158, 9, 90]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(3148, 156, F3, 89) (dual of [156, 8, 90]-code) | [i] | ||
| 3 | Linear OA(3191, 201, F3, 116) (dual of [201, 10, 117]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(381, 96, F3, 47) (dual of [96, 15, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(379, 94, F3, 46) (dual of [94, 15, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(380, 94, F3, 47) (dual of [94, 14, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(378, 92, F3, 46) (dual of [92, 14, 47]-code) | [i] | ✔ | |
| 8 | Linear OA(376, 90, F3, 45) (dual of [90, 14, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(379, 91, F3, 47) (dual of [91, 12, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(377, 89, F3, 46) (dual of [89, 12, 47]-code) | [i] | ✔ | |
| 11 | Linear OOA(370, 40, F3, 2, 44) (dual of [(40, 2), 10, 45]-NRT-code) | [i] | OOA Folding | |