Information on Result #2253184
Linear OA(940, 59048, F9, 9) (dual of [59048, 59008, 10]-code), using 1 times truncation based on linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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 OA(944, 59058, F9, 9) (dual of [59058, 59014, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(945, 59064, F9, 9) (dual of [59064, 59019, 10]-code) | [i] | ||
| 3 | Linear OA(946, 59120, F9, 9) (dual of [59120, 59074, 10]-code) | [i] | ||
| 4 | Linear OA(947, 59130, F9, 9) (dual of [59130, 59083, 10]-code) | [i] | ||
| 5 | Linear OA(947, 59132, F9, 9) (dual of [59132, 59085, 10]-code) | [i] | ||
| 6 | Linear OA(947, 59144, F9, 9) (dual of [59144, 59097, 10]-code) | [i] | ||
| 7 | Linear OOA(940, 59048, F9, 2, 9) (dual of [(59048, 2), 118056, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Linear OOA(940, 59048, F9, 3, 9) (dual of [(59048, 3), 177104, 10]-NRT-code) | [i] | ||
| 9 | Digital (31, 40, 59048)-net over F9 | [i] | ||
| 10 | Linear OA(947, 59068, F9, 9) (dual of [59068, 59021, 10]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OOA(940, 29524, F9, 2, 9) (dual of [(29524, 2), 59008, 10]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(940, 19682, F9, 3, 9) (dual of [(19682, 3), 59006, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(940, 14761, F9, 9, 9) (dual of [(14761, 9), 132809, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |