Information on Result #629204
Linear OA(1662, 131072, F16, 16) (dual of [131072, 131010, 17]-code), using trace code based on linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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 OA(1670, 131089, F16, 16) (dual of [131089, 131019, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1671, 131096, F16, 16) (dual of [131096, 131025, 17]-code) | [i] | ||
| 3 | Linear OA(1672, 131105, F16, 16) (dual of [131105, 131033, 17]-code) | [i] | ||
| 4 | Linear OA(1673, 131110, F16, 16) (dual of [131110, 131037, 17]-code) | [i] | ||
| 5 | Linear OA(1674, 131117, F16, 16) (dual of [131117, 131043, 17]-code) | [i] | ||
| 6 | Linear OOA(1662, 71096, F16, 2, 16) (dual of [(71096, 2), 142130, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (46, 62, 71096)-net over F16 | [i] | ||
| 8 | Linear OA(1673, 131084, F16, 16) (dual of [131084, 131011, 17]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(1674, 131086, F16, 16) (dual of [131086, 131012, 17]-code) | [i] | ||
| 10 | Linear OOA(1662, 16384, F16, 16, 16) (dual of [(16384, 16), 262082, 17]-NRT-code) | [i] | OA Folding and Stacking | |