Information on Result #2253980
Linear OA(980, 59049, F9, 18) (dual of [59049, 58969, 19]-code), using 1 times truncation based on linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
Mode: Constructive and linear.
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(980, 43745, F9, 2, 18) (dual of [(43745, 2), 87410, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(980, 43745, F9, 3, 18) (dual of [(43745, 3), 131155, 19]-NRT-code) | [i] | ||
| 3 | Digital (62, 80, 43745)-net over F9 | [i] | ||
| 4 | Linear OOA(980, 29524, F9, 2, 18) (dual of [(29524, 2), 58968, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(980, 19683, F9, 3, 18) (dual of [(19683, 3), 58969, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(980, 6561, F9, 18, 18) (dual of [(6561, 18), 118018, 19]-NRT-code) | [i] | OA Folding and Stacking | |