Information on Result #1312122
Linear OA(859, 4142, F8, 16) (dual of [4142, 4083, 17]-code), using 43 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 35 times 0) based on linear OA(856, 4096, F8, 16) (dual of [4096, 4040, 17]-code), using
- 1 times truncation [i] based on linear OA(857, 4097, F8, 17) (dual of [4097, 4040, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [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(859, 4142, F8, 2, 16) (dual of [(4142, 2), 8225, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(859, 4142, F8, 3, 16) (dual of [(4142, 3), 12367, 17]-NRT-code) | [i] | ||
| 3 | Digital (43, 59, 4142)-net over F8 | [i] | ||
| 4 | Linear OOA(859, 2071, F8, 2, 16) (dual of [(2071, 2), 4083, 17]-NRT-code) | [i] | OOA Folding | |