Information on Result #1312535
Linear OA(8142, 4305, F8, 40) (dual of [4305, 4163, 41]-code), using 208 step Varšamov–Edel lengthening with (ri) = (1, 53 times 0, 1, 153 times 0) based on linear OA(8140, 4095, F8, 40) (dual of [4095, 3955, 41]-code), using
- 1 times truncation [i] 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: 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(8142, 4305, F8, 2, 40) (dual of [(4305, 2), 8468, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8142, 4305, F8, 3, 40) (dual of [(4305, 3), 12773, 41]-NRT-code) | [i] | ||
| 3 | Digital (102, 142, 4305)-net over F8 | [i] | ||
| 4 | Linear OOA(8142, 2152, F8, 2, 40) (dual of [(2152, 2), 4162, 41]-NRT-code) | [i] | OOA Folding | |