Information on Result #2255073
Linear OA(1675, 1048575, F16, 16) (dual of [1048575, 1048500, 17]-code), using 1 times truncation based on linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(1675, 933249, F16, 2, 16) (dual of [(933249, 2), 1866423, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (59, 75, 933249)-net over F16 | [i] | ||
| 3 | Linear OOA(1675, 524287, F16, 2, 16) (dual of [(524287, 2), 1048499, 17]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(1675, 131071, F16, 16, 16) (dual of [(131071, 16), 2097061, 17]-NRT-code) | [i] | OA Folding and Stacking | |