Information on Result #675857
Linear OA(393, 2216, F3, 19) (dual of [2216, 2123, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,6]) based on
- 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(357, 2188, F3, 13) (dual of [2188, 2131, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [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(393, 1355, F3, 2, 19) (dual of [(1355, 2), 2617, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(393, 1355, F3, 3, 19) (dual of [(1355, 3), 3972, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(393, 1355, F3, 4, 19) (dual of [(1355, 4), 5327, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(393, 1355, F3, 5, 19) (dual of [(1355, 5), 6682, 20]-NRT-code) | [i] | ||
| 5 | Digital (74, 93, 1355)-net over F3 | [i] | ||
| 6 | Linear OOA(393, 1108, F3, 2, 19) (dual of [(1108, 2), 2123, 20]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(393, 554, F3, 4, 19) (dual of [(554, 4), 2123, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(393, 443, F3, 5, 19) (dual of [(443, 5), 2122, 20]-NRT-code) | [i] | ||