Information on Result #611983
Linear OA(3209, 1594324, F3, 25) (dual of [1594324, 1594115, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(3208, 1594323, F3, 24) (dual of [1594323, 1594115, 25]-code) | [i] | Truncation | |
2 | Linear OA(3221, 1594337, F3, 25) (dual of [1594337, 1594116, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
3 | Linear OA(3236, 1594351, F3, 27) (dual of [1594351, 1594115, 28]-code) | [i] | ✔ | |
4 | Linear OA(3210, 1594351, F3, 23) (dual of [1594351, 1594141, 24]-code) | [i] | ✔ | |
5 | Linear OA(3212, 1594328, F3, 25) (dual of [1594328, 1594116, 26]-code) | [i] | ✔ | |
6 | Linear OA(3213, 1594334, F3, 25) (dual of [1594334, 1594121, 26]-code) | [i] | ✔ | |
7 | Linear OA(3214, 1594344, F3, 25) (dual of [1594344, 1594130, 26]-code) | [i] | ✔ | |
8 | Linear OA(3215, 1594356, F3, 25) (dual of [1594356, 1594141, 26]-code) | [i] | ✔ | |
9 | Linear OA(3211, 1594328, F3, 24) (dual of [1594328, 1594117, 25]-code) | [i] | ✔ | |
10 | Linear OA(3212, 1594337, F3, 24) (dual of [1594337, 1594125, 25]-code) | [i] | ✔ | |
11 | Linear OA(3213, 1594354, F3, 24) (dual of [1594354, 1594141, 25]-code) | [i] | ✔ | |
12 | Linear OA(3220, 1594365, F3, 25) (dual of [1594365, 1594145, 26]-code) | [i] | ✔ | |
13 | Linear OA(3221, 1594380, F3, 25) (dual of [1594380, 1594159, 26]-code) | [i] | ✔ | |
14 | Linear OA(3222, 1594389, F3, 25) (dual of [1594389, 1594167, 26]-code) | [i] | ✔ | |
15 | Linear OA(3217, 1594365, F3, 24) (dual of [1594365, 1594148, 25]-code) | [i] | ✔ | |
16 | Linear OA(3218, 1594385, F3, 24) (dual of [1594385, 1594167, 25]-code) | [i] | ✔ | |
17 | Linear OA(3220, 1594387, F3, 25) (dual of [1594387, 1594167, 26]-code) | [i] | ✔ | |
18 | Linear OA(3236, 1594352, F3, 27) (dual of [1594352, 1594116, 28]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
19 | Linear OA(3210, 1594352, F3, 23) (dual of [1594352, 1594142, 24]-code) | [i] | ✔ | |
20 | Linear OOA(3209, 797162, F3, 2, 25) (dual of [(797162, 2), 1594115, 26]-NRT-code) | [i] | OOA Folding | |
21 | Linear OOA(3209, 398581, F3, 4, 25) (dual of [(398581, 4), 1594115, 26]-NRT-code) | [i] |