Information on Result #662898
Linear OA(5145, 1953135, F5, 19) (dual of [1953135, 1952990, 20]-code), using (u, u+v)-construction based on
- linear OA(59, 10, F5, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,5)), using
- dual of repetition code with length 10 [i]
- linear OA(5136, 1953125, F5, 19) (dual of [1953125, 1952989, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(5145, 1494751, F5, 2, 19) (dual of [(1494751, 2), 2989357, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5145, 1494751, F5, 3, 19) (dual of [(1494751, 3), 4484108, 20]-NRT-code) | [i] | ||
| 3 | Digital (126, 145, 1494751)-net over F5 | [i] | ||