Information on Result #691771
Linear OA(1657, 65536, F16, 15) (dual of [65536, 65479, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(1657, 58109, F16, 2, 15) (dual of [(58109, 2), 116161, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (42, 57, 58109)-net over F16 | [i] | ||
| 3 | Linear OA(1662, 65541, F16, 17) (dual of [65541, 65479, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1657, 65540, F16, 15) (dual of [65540, 65483, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(1667, 65546, F16, 18) (dual of [65546, 65479, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(1672, 65551, F16, 19) (dual of [65551, 65479, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(1677, 65553, F16, 20) (dual of [65553, 65476, 21]-code) | [i] | ✔ | |
| 8 | Linear OOA(1657, 9362, F16, 15, 15) (dual of [(9362, 15), 140373, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |