Information on Result #1061277
Linear OOA(3221, 398597, F3, 4, 25) (dual of [(398597, 4), 1594167, 26]-NRT-code), using OOA 4-folding based on linear OA(3221, 1594388, F3, 25) (dual of [1594388, 1594167, 26]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3220, 1594387, F3, 25) (dual of [1594387, 1594167, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3209, 1594324, F3, 25) (dual of [1594324, 1594115, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3157, 1594324, F3, 19) (dual of [1594324, 1594167, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(311, 63, F3, 5) (dual of [63, 52, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
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(3222, 398597, F3, 4, 25) (dual of [(398597, 4), 1594166, 26]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3223, 398597, F3, 4, 25) (dual of [(398597, 4), 1594165, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(3224, 398597, F3, 4, 25) (dual of [(398597, 4), 1594164, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(3221, 398597, F3, 5, 25) (dual of [(398597, 5), 1992764, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (196, 221, 398597)-net over F3 | [i] | ||