Information on Result #662969
Linear OA(593, 78134, F5, 16) (dual of [78134, 78041, 17]-code), using (u, u+v)-construction based on
- linear OA(58, 9, F5, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,5)), using
- dual of repetition code with length 9 [i]
- linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(593, 59232, F5, 2, 16) (dual of [(59232, 2), 118371, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(593, 59232, F5, 3, 16) (dual of [(59232, 3), 177603, 17]-NRT-code) | [i] | ||
| 3 | Digital (77, 93, 59232)-net over F5 | [i] | ||