Information on Result #611704
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)
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 OA(356, 2187, F3, 12) (dual of [2187, 2131, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(363, 2195, F3, 13) (dual of [2195, 2132, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(372, 2203, F3, 15) (dual of [2203, 2131, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(360, 2192, F3, 13) (dual of [2192, 2132, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(361, 2198, F3, 13) (dual of [2198, 2137, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(362, 2207, F3, 13) (dual of [2207, 2145, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(359, 2192, F3, 12) (dual of [2192, 2133, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(360, 2201, F3, 12) (dual of [2201, 2141, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(393, 2216, F3, 19) (dual of [2216, 2123, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(395, 2224, F3, 19) (dual of [2224, 2129, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(396, 2227, F3, 19) (dual of [2227, 2131, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(393, 2224, F3, 18) (dual of [2224, 2131, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(395, 2226, F3, 19) (dual of [2226, 2131, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(372, 2204, F3, 15) (dual of [2204, 2132, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 15 | Linear OOA(357, 1094, F3, 2, 13) (dual of [(1094, 2), 2131, 14]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(357, 547, F3, 4, 13) (dual of [(547, 4), 2131, 14]-NRT-code) | [i] | ||