Information on Result #2265900
Linear OA(3119, 2208, F3, 25) (dual of [2208, 2089, 26]-code), using 1 times code embedding in larger space based on linear OA(3118, 2207, F3, 25) (dual of [2207, 2089, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(3113, 2188, F3, 25) (dual of [2188, 2075, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(399, 2188, F3, 21) (dual of [2188, 2089, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(35, 19, F3, 3) (dual of [19, 14, 4]-code or 19-cap in PG(4,3)), 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(3119, 1301, F3, 2, 25) (dual of [(1301, 2), 2483, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3119, 1301, F3, 3, 25) (dual of [(1301, 3), 3784, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(3119, 1301, F3, 4, 25) (dual of [(1301, 4), 5085, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(3119, 1301, F3, 5, 25) (dual of [(1301, 5), 6386, 26]-NRT-code) | [i] | ||
| 5 | Digital (94, 119, 1301)-net over F3 | [i] | ||
| 6 | Linear OOA(3119, 1104, F3, 2, 25) (dual of [(1104, 2), 2089, 26]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3119, 736, F3, 3, 25) (dual of [(736, 3), 2089, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(3119, 552, F3, 4, 25) (dual of [(552, 4), 2089, 26]-NRT-code) | [i] | ||