Information on Result #801627
Linear OA(5100, 1953171, F5, 13) (dual of [1953171, 1953071, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,3]) 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(555, 1953126, F5, 7) (dual of [1953126, 1953071, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(59, 45, F5, 5) (dual of [45, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(59, 46, F5, 5) (dual of [46, 37, 6]-code), using
- extracting embedded orthogonal array [i] based on digital (4, 9, 46)-net over F5, using
- discarding factors / shortening the dual code based on linear OA(59, 46, F5, 5) (dual of [46, 37, 6]-code), using
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(5100, 651057, F5, 3, 13) (dual of [(651057, 3), 1953071, 14]-NRT-code) | [i] | OOA Folding | |