Information on Result #611765
Linear OA(3101, 59050, F3, 15) (dual of [59050, 58949, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, 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(3108, 59058, F3, 15) (dual of [59058, 58950, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3124, 59054, F3, 19) (dual of [59054, 58930, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(3125, 59060, F3, 19) (dual of [59060, 58935, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(3126, 59070, F3, 19) (dual of [59070, 58944, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(3127, 59076, F3, 19) (dual of [59076, 58949, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3123, 59054, F3, 18) (dual of [59054, 58931, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(3124, 59063, F3, 18) (dual of [59063, 58939, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(3125, 59074, F3, 18) (dual of [59074, 58949, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(3102, 59071, F3, 15) (dual of [59071, 58969, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(3151, 59086, F3, 21) (dual of [59086, 58935, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(3152, 59091, F3, 21) (dual of [59091, 58939, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(3153, 59102, F3, 21) (dual of [59102, 58949, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(3152, 59101, F3, 21) (dual of [59101, 58949, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(3102, 59072, F3, 15) (dual of [59072, 58970, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |