Information on Result #2265903
Linear OA(3127, 2230, F3, 25) (dual of [2230, 2103, 26]-code), using 4 times code embedding in larger space based on linear OA(3123, 2226, F3, 25) (dual of [2226, 2103, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [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(385, 2188, F3, 19) (dual of [2188, 2103, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 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(3127, 1916, F3, 2, 25) (dual of [(1916, 2), 3705, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3127, 1916, F3, 3, 25) (dual of [(1916, 3), 5621, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(3127, 1916, F3, 4, 25) (dual of [(1916, 4), 7537, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(3127, 1916, F3, 5, 25) (dual of [(1916, 5), 9453, 26]-NRT-code) | [i] | ||
| 5 | Digital (102, 127, 1916)-net over F3 | [i] | ||
| 6 | Linear OOA(3127, 446, F3, 5, 25) (dual of [(446, 5), 2103, 26]-NRT-code) | [i] | OOA Folding | |