Information on Result #629235
Linear OA(16102, 131072, F16, 26) (dual of [131072, 130970, 27]-code), using trace code based on linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(16115, 131089, F16, 26) (dual of [131089, 130974, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16116, 131096, F16, 26) (dual of [131096, 130980, 27]-code) | [i] | ||
| 3 | Linear OA(16117, 131105, F16, 26) (dual of [131105, 130988, 27]-code) | [i] | ||
| 4 | Linear OA(16118, 131110, F16, 26) (dual of [131110, 130992, 27]-code) | [i] | ||
| 5 | Linear OA(16119, 131117, F16, 26) (dual of [131117, 130998, 27]-code) | [i] | ||
| 6 | Linear OA(16120, 131121, F16, 26) (dual of [131121, 131001, 27]-code) | [i] | ||
| 7 | Linear OOA(16102, 76302, F16, 2, 26) (dual of [(76302, 2), 152502, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Digital (76, 102, 76302)-net over F16 | [i] | ||
| 9 | Linear OA(16119, 131090, F16, 26) (dual of [131090, 130971, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(16120, 131092, F16, 26) (dual of [131092, 130972, 27]-code) | [i] | ||
| 11 | Linear OOA(16102, 10082, F16, 26, 26) (dual of [(10082, 26), 262030, 27]-NRT-code) | [i] | OA Folding and Stacking | |