Information on Result #616358
Linear OA(1673, 65536, F16, 20) (dual of [65536, 65463, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20
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(1673, 32991, F16, 2, 20) (dual of [(32991, 2), 65909, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (53, 73, 32991)-net over F16 | [i] | ||
| 3 | Linear OA(1677, 65540, F16, 21) (dual of [65540, 65463, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1673, 65540, F16, 20) (dual of [65540, 65467, 21]-code) | [i] | ✔ | |
| 5 | Linear OA(1682, 65545, F16, 22) (dual of [65545, 65463, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(1674, 65545, F16, 20) (dual of [65545, 65471, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(1687, 65550, F16, 23) (dual of [65550, 65463, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(1675, 65550, F16, 20) (dual of [65550, 65475, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(1692, 65554, F16, 24) (dual of [65554, 65462, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(1693, 65556, F16, 24) (dual of [65556, 65463, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(1677, 65553, F16, 20) (dual of [65553, 65476, 21]-code) | [i] | ✔ | |