Information on Result #615796
Linear OA(9145, 531442, F9, 27) (dual of [531442, 531297, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound)
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(9145, 398985, F9, 2, 27) (dual of [(398985, 2), 797825, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9145, 398985, F9, 3, 27) (dual of [(398985, 3), 1196810, 28]-NRT-code) | [i] | ||
| 3 | Digital (118, 145, 398985)-net over F9 | [i] | ||
| 4 | Linear OA(9146, 531455, F9, 27) (dual of [531455, 531309, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(9149, 531470, F9, 27) (dual of [531470, 531321, 28]-code) | [i] | ✔ | |
| 6 | Linear OOA(9145, 40880, F9, 27, 27) (dual of [(40880, 27), 1103615, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |