Information on Result #616334
Linear OA(1661, 65536, F16, 17) (dual of [65536, 65475, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(1660, 65535, F16, 16) (dual of [65535, 65475, 17]-code) | [i] | Truncation | |
| 2 | OA(882, 65536, S8, 17) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(1665, 65540, F16, 18) (dual of [65540, 65475, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1662, 65541, F16, 17) (dual of [65541, 65479, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(1670, 65545, F16, 19) (dual of [65545, 65475, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(1663, 65546, F16, 17) (dual of [65546, 65483, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(1675, 65550, F16, 20) (dual of [65550, 65475, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(1664, 65551, F16, 17) (dual of [65551, 65487, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(1680, 65554, F16, 21) (dual of [65554, 65474, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(1681, 65556, F16, 21) (dual of [65556, 65475, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(1665, 65553, F16, 17) (dual of [65553, 65488, 18]-code) | [i] | ✔ | |
| 12 | Linear OOA(1661, 32768, F16, 2, 17) (dual of [(32768, 2), 65475, 18]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(1661, 8191, F16, 17, 17) (dual of [(8191, 17), 139186, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |