Information on Result #662973
Linear OA(5105, 390634, F5, 16) (dual of [390634, 390529, 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(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, 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(5105, 235358, F5, 2, 16) (dual of [(235358, 2), 470611, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5105, 235358, F5, 3, 16) (dual of [(235358, 3), 705969, 17]-NRT-code) | [i] | ||
| 3 | Digital (89, 105, 235358)-net over F5 | [i] | ||