Information on Result #615503
Linear OA(943, 4782970, F9, 7) (dual of [4782970, 4782927, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(946, 4782980, F9, 7) (dual of [4782980, 4782934, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(947, 4783052, F9, 7) (dual of [4783052, 4783005, 8]-code) | [i] | ||
| 3 | Linear OA(948, 4783182, F9, 7) (dual of [4783182, 4783134, 8]-code) | [i] | ||
| 4 | Linear OA(948, 4782990, F9, 7) (dual of [4782990, 4782942, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(946, 4782974, F9, 7) (dual of [4782974, 4782928, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(958, 4782985, F9, 9) (dual of [4782985, 4782927, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(944, 4782985, F9, 7) (dual of [4782985, 4782941, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(958, 4782986, F9, 9) (dual of [4782986, 4782928, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 9 | Linear OA(944, 4782986, F9, 7) (dual of [4782986, 4782942, 8]-code) | [i] | ✔ | |