Information on Result #629217
Linear OA(1678, 131072, F16, 20) (dual of [131072, 130994, 21]-code), using trace code based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
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(1688, 131089, F16, 20) (dual of [131089, 131001, 21]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1689, 131096, F16, 20) (dual of [131096, 131007, 21]-code) | [i] | ||
| 3 | Linear OA(1690, 131105, F16, 20) (dual of [131105, 131015, 21]-code) | [i] | ||
| 4 | Linear OOA(1678, 71276, F16, 2, 20) (dual of [(71276, 2), 142474, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (58, 78, 71276)-net over F16 | [i] | ||
| 6 | Linear OOA(1678, 13107, F16, 20, 20) (dual of [(13107, 20), 262062, 21]-NRT-code) | [i] | OA Folding and Stacking | |