Information on Result #806005
Linear OOA(264, 128, F2, 2, 16) (dual of [(128, 2), 192, 17]-NRT-code), using OOA 2-folding based on linear OA(264, 256, F2, 16) (dual of [256, 192, 17]-code), using
- 1 times truncation [i] based on linear OA(265, 257, F2, 17) (dual of [257, 192, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, 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(264, 128, F2, 3, 16) (dual of [(128, 3), 320, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(264, 128, F2, 4, 16) (dual of [(128, 4), 448, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(264, 128, F2, 5, 16) (dual of [(128, 5), 576, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(264, 128, F2, 6, 16) (dual of [(128, 6), 704, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(264, 128, F2, 7, 16) (dual of [(128, 7), 832, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(264, 128, F2, 8, 16) (dual of [(128, 8), 960, 17]-NRT-code) | [i] | ||
| 7 | Digital (48, 64, 128)-net over F2 | [i] | ||