Information on Result #691777
Linear OA(1641, 65536, F16, 11) (dual of [65536, 65495, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(1641, 62126, F16, 2, 11) (dual of [(62126, 2), 124211, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (30, 41, 62126)-net over F16 | [i] | ||
| 3 | Linear OA(1645, 65540, F16, 12) (dual of [65540, 65495, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1641, 65540, F16, 11) (dual of [65540, 65499, 12]-code) | [i] | ✔ | |
| 5 | Linear OOA(1641, 13107, F16, 11, 11) (dual of [(13107, 11), 144136, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |