Information on Result #611849
Linear OA(3169, 4782970, F3, 19) (dual of [4782970, 4782801, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, 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(3168, 4782969, F3, 18) (dual of [4782969, 4782801, 19]-code) | [i] | Truncation | |
| 2 | Linear OA(3178, 4782980, F3, 19) (dual of [4782980, 4782802, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(3198, 4782999, F3, 21) (dual of [4782999, 4782801, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(3172, 4782974, F3, 19) (dual of [4782974, 4782802, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(3173, 4782980, F3, 19) (dual of [4782980, 4782807, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3174, 4782990, F3, 19) (dual of [4782990, 4782816, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(3175, 4783004, F3, 19) (dual of [4783004, 4782829, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(3171, 4782974, F3, 18) (dual of [4782974, 4782803, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(3172, 4782983, F3, 18) (dual of [4782983, 4782811, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(3173, 4783002, F3, 18) (dual of [4783002, 4782829, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(3236, 4783011, F3, 25) (dual of [4783011, 4782775, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(3237, 4783026, F3, 25) (dual of [4783026, 4782789, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(3238, 4783039, F3, 25) (dual of [4783039, 4782801, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(3233, 4783011, F3, 24) (dual of [4783011, 4782778, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(3234, 4783035, F3, 24) (dual of [4783035, 4782801, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(3180, 4783011, F3, 19) (dual of [4783011, 4782831, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(3177, 4783011, F3, 18) (dual of [4783011, 4782834, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(3178, 4783035, F3, 18) (dual of [4783035, 4782857, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(3236, 4783037, F3, 25) (dual of [4783037, 4782801, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(3180, 4783037, F3, 19) (dual of [4783037, 4782857, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(3198, 4783000, F3, 21) (dual of [4783000, 4782802, 22]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 22 | Linear OOA(3169, 2391485, F3, 2, 19) (dual of [(2391485, 2), 4782801, 20]-NRT-code) | [i] | OOA Folding | |
| 23 | Linear OOA(3169, 956594, F3, 5, 19) (dual of [(956594, 5), 4782801, 20]-NRT-code) | [i] | ||
| 24 | Linear OOA(3169, 531441, F3, 19, 19) (dual of [(531441, 19), 10097210, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |