Information on Result #856512
Linear OOA(1675, 524287, F16, 2, 16) (dual of [(524287, 2), 1048499, 17]-NRT-code), using OOA 2-folding based on linear OA(1675, 1048574, F16, 16) (dual of [1048574, 1048499, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1675, 1048575, F16, 16) (dual of [1048575, 1048500, 17]-code), using
- 1 times truncation [i] 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]
- 1 times truncation [i] based on linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using
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(1684, 524311, F16, 2, 16) (dual of [(524311, 2), 1048538, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(1685, 524320, F16, 2, 16) (dual of [(524320, 2), 1048555, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(1686, 524325, F16, 2, 16) (dual of [(524325, 2), 1048564, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(1687, 524332, F16, 2, 16) (dual of [(524332, 2), 1048577, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(1688, 524336, F16, 2, 16) (dual of [(524336, 2), 1048584, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(1689, 524352, F16, 2, 16) (dual of [(524352, 2), 1048615, 17]-NRT-code) | [i] | ||