Information on Result #2251784
Linear OA(8140, 4095, F8, 40) (dual of [4095, 3955, 41]-code), using 1 times truncation based on linear OA(8141, 4096, F8, 41) (dual of [4096, 3955, 42]-code), using
- an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(8140, 4095, F8, 2, 40) (dual of [(4095, 2), 8050, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8140, 4095, F8, 3, 40) (dual of [(4095, 3), 12145, 41]-NRT-code) | [i] | ||
| 3 | Digital (100, 140, 4095)-net over F8 | [i] | ||
| 4 | Linear OA(8141, 4150, F8, 40) (dual of [4150, 4009, 41]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(8142, 4305, F8, 40) (dual of [4305, 4163, 41]-code) | [i] | ||
| 6 | Linear OA(8143, 4526, F8, 40) (dual of [4526, 4383, 41]-code) | [i] | ||
| 7 | Linear OOA(8140, 2047, F8, 2, 40) (dual of [(2047, 2), 3954, 41]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(8140, 1365, F8, 3, 40) (dual of [(1365, 3), 3955, 41]-NRT-code) | [i] | ||