Information on Result #2238549
Linear OA(472, 4096, F4, 16) (dual of [4096, 4024, 17]-code), using 1 times truncation based on linear OA(473, 4097, F4, 17) (dual of [4097, 4024, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, 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(472, 2268, F4, 2, 16) (dual of [(2268, 2), 4464, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(472, 2268, F4, 3, 16) (dual of [(2268, 3), 6732, 17]-NRT-code) | [i] | ||
| 3 | Digital (56, 72, 2268)-net over F4 | [i] | ||
| 4 | Linear OA(478, 4127, F4, 16) (dual of [4127, 4049, 17]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(479, 4156, F4, 16) (dual of [4156, 4077, 17]-code) | [i] | ||
| 6 | Linear OA(480, 4211, F4, 16) (dual of [4211, 4131, 17]-code) | [i] | ||
| 7 | Linear OA(481, 4311, F4, 16) (dual of [4311, 4230, 17]-code) | [i] | ||
| 8 | Linear OA(482, 4483, F4, 16) (dual of [4483, 4401, 17]-code) | [i] | ||
| 9 | Linear OOA(472, 2048, F4, 2, 16) (dual of [(2048, 2), 4024, 17]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(472, 1365, F4, 3, 16) (dual of [(1365, 3), 4023, 17]-NRT-code) | [i] | ||