Information on Result #613690
Linear OA(597, 1953133, F5, 13) (dual of [1953133, 1953036, 14]-code), using construction X applied to C([0,6]) ⊂ C([1,6]) based on
- 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]
- linear OA(590, 1953126, F5, 6) (dual of [1953126, 1953036, 7]-code), using the narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), using
- dual of repetition code with length 7 [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(597, 1545447, F5, 2, 13) (dual of [(1545447, 2), 3090797, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(597, 1545447, F5, 3, 13) (dual of [(1545447, 3), 4636244, 14]-NRT-code) | [i] | ||
| 3 | Digital (84, 97, 1545447)-net over F5 | [i] | ||