Information on Result #2249486
Linear OA(828, 4095, F8, 8) (dual of [4095, 4067, 9]-code), using 1 times truncation based on linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(828, 4095, F8, 2, 8) (dual of [(4095, 2), 8162, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(828, 4095, F8, 3, 8) (dual of [(4095, 3), 12257, 9]-NRT-code) | [i] | ||
| 3 | Digital (20, 28, 4095)-net over F8 | [i] | ||
| 4 | Linear OA(829, 4120, F8, 8) (dual of [4120, 4091, 9]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OOA(828, 2047, F8, 2, 8) (dual of [(2047, 2), 4066, 9]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(828, 1365, F8, 3, 8) (dual of [(1365, 3), 4067, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(828, 1023, F8, 8, 8) (dual of [(1023, 8), 8156, 9]-NRT-code) | [i] | OA Folding and Stacking | |