Information on Result #2251115
Linear OA(870, 32768, F8, 16) (dual of [32768, 32698, 17]-code), using 1 times truncation based on linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [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(870, 24387, F8, 2, 16) (dual of [(24387, 2), 48704, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(870, 24387, F8, 3, 16) (dual of [(24387, 3), 73091, 17]-NRT-code) | [i] | ||
| 3 | Digital (54, 70, 24387)-net over F8 | [i] | ||
| 4 | Linear OOA(870, 16384, F8, 2, 16) (dual of [(16384, 2), 32698, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(870, 10922, F8, 3, 16) (dual of [(10922, 3), 32696, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(870, 4096, F8, 16, 16) (dual of [(4096, 16), 65466, 17]-NRT-code) | [i] | OA Folding and Stacking | |