Information on Result #611846
Linear OA(3157, 1594324, F3, 19) (dual of [1594324, 1594167, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(3156, 1594323, F3, 18) (dual of [1594323, 1594167, 19]-code) | [i] | Truncation | |
| 2 | Linear OA(3166, 1594334, F3, 19) (dual of [1594334, 1594168, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(3184, 1594351, F3, 21) (dual of [1594351, 1594167, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(3160, 1594328, F3, 19) (dual of [1594328, 1594168, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(3161, 1594334, F3, 19) (dual of [1594334, 1594173, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3162, 1594344, F3, 19) (dual of [1594344, 1594182, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(3163, 1594356, F3, 19) (dual of [1594356, 1594193, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(3159, 1594328, F3, 18) (dual of [1594328, 1594169, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(3160, 1594337, F3, 18) (dual of [1594337, 1594177, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(3161, 1594354, F3, 18) (dual of [1594354, 1594193, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(3220, 1594365, F3, 25) (dual of [1594365, 1594145, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(3221, 1594380, F3, 25) (dual of [1594380, 1594159, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(3222, 1594389, F3, 25) (dual of [1594389, 1594167, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(3217, 1594365, F3, 24) (dual of [1594365, 1594148, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(3218, 1594385, F3, 24) (dual of [1594385, 1594167, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(3168, 1594365, F3, 19) (dual of [1594365, 1594197, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(3165, 1594365, F3, 18) (dual of [1594365, 1594200, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(3166, 1594385, F3, 18) (dual of [1594385, 1594219, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(3220, 1594387, F3, 25) (dual of [1594387, 1594167, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(3168, 1594387, F3, 19) (dual of [1594387, 1594219, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(3184, 1594352, F3, 21) (dual of [1594352, 1594168, 22]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 22 | Linear OOA(3157, 797162, F3, 2, 19) (dual of [(797162, 2), 1594167, 20]-NRT-code) | [i] | OOA Folding | |
| 23 | Linear OOA(3157, 398581, F3, 4, 19) (dual of [(398581, 4), 1594167, 20]-NRT-code) | [i] | ||
| 24 | Linear OOA(3157, 177147, F3, 19, 19) (dual of [(177147, 19), 3365636, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |