Information on Result #611774
Linear OA(3131, 1594324, F3, 15) (dual of [1594324, 1594193, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(3138, 1594332, F3, 15) (dual of [1594332, 1594194, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3160, 1594328, F3, 19) (dual of [1594328, 1594168, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(3161, 1594334, F3, 19) (dual of [1594334, 1594173, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(3162, 1594344, F3, 19) (dual of [1594344, 1594182, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(3163, 1594356, F3, 19) (dual of [1594356, 1594193, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3159, 1594328, F3, 18) (dual of [1594328, 1594169, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(3160, 1594337, F3, 18) (dual of [1594337, 1594177, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(3161, 1594354, F3, 18) (dual of [1594354, 1594193, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(3132, 1594351, F3, 15) (dual of [1594351, 1594219, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(3194, 1594365, F3, 21) (dual of [1594365, 1594171, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(3195, 1594380, F3, 21) (dual of [1594380, 1594185, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(3194, 1594387, F3, 21) (dual of [1594387, 1594193, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(3132, 1594352, F3, 15) (dual of [1594352, 1594220, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |