Information on Result #663039
Linear OA(598, 1953136, F5, 13) (dual of [1953136, 1953038, 14]-code), using (u, u+v)-construction based on
- linear OA(57, 10, F5, 6) (dual of [10, 3, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 11, F5, 6) (dual of [11, 4, 7]-code), using
- 1 times truncation [i] based on linear OA(58, 12, F5, 7) (dual of [12, 4, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 11, F5, 6) (dual of [11, 4, 7]-code), using
- linear OA(591, 1953126, F5, 13) (dual of [1953126, 1953035, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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(598, 1788945, F5, 2, 13) (dual of [(1788945, 2), 3577792, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(598, 1788945, F5, 3, 13) (dual of [(1788945, 3), 5366737, 14]-NRT-code) | [i] | ||
| 3 | Digital (85, 98, 1788945)-net over F5 | [i] | ||