Information on Result #662945
Linear OA(5101, 78136, F5, 17) (dual of [78136, 78035, 18]-code), using (u, u+v)-construction based on
- linear OA(59, 11, F5, 8) (dual of [11, 2, 9]-code), using
- 1 times truncation [i] based on linear OA(510, 12, F5, 9) (dual of [12, 2, 10]-code), using
- repeating each code word 2 times [i] based on linear OA(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- extended Reed–Solomon code RSe(2,5) [i]
- Simplex code S(2,5) [i]
- repeating each code word 2 times [i] based on linear OA(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- 1 times truncation [i] based on linear OA(510, 12, F5, 9) (dual of [12, 2, 10]-code), using
- linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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 OOA(5101, 73358, F5, 2, 17) (dual of [(73358, 2), 146615, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5101, 73358, F5, 3, 17) (dual of [(73358, 3), 219973, 18]-NRT-code) | [i] | ||
| 3 | Digital (84, 101, 73358)-net over F5 | [i] | ||