Information on Result #2231077
Linear OA(394, 2225, F3, 18) (dual of [2225, 2131, 19]-code), using 1 times truncation based on linear OA(395, 2226, F3, 19) (dual of [2226, 2131, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] 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(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(394, 2003, F3, 2, 18) (dual of [(2003, 2), 3912, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(394, 2003, F3, 3, 18) (dual of [(2003, 3), 5915, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(394, 2003, F3, 4, 18) (dual of [(2003, 4), 7918, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(394, 2003, F3, 5, 18) (dual of [(2003, 5), 9921, 19]-NRT-code) | [i] | ||
| 5 | Digital (76, 94, 2003)-net over F3 | [i] | ||
| 6 | Linear OOA(394, 445, F3, 5, 18) (dual of [(445, 5), 2131, 19]-NRT-code) | [i] | OOA Folding | |