Information on Result #704687
Linear OA(3142, 728, F3, 36) (dual of [728, 586, 37]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {330,331,…,365}, and designed minimum distance d ≥ |I|+1 = 37
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3157, 773, F3, 36) (dual of [773, 616, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3156, 771, F3, 36) (dual of [771, 615, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(3153, 770, F3, 36) (dual of [770, 617, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(3151, 764, F3, 36) (dual of [764, 613, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(3152, 768, F3, 36) (dual of [768, 616, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(3150, 762, F3, 36) (dual of [762, 612, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(3146, 749, F3, 36) (dual of [749, 603, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(3146, 750, F3, 36) (dual of [750, 604, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(3145, 747, F3, 36) (dual of [747, 602, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(3158, 749, F3, 39) (dual of [749, 591, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(3149, 741, F3, 38) (dual of [741, 592, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(3173, 777, F3, 41) (dual of [777, 604, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(3158, 750, F3, 39) (dual of [750, 592, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(3157, 747, F3, 39) (dual of [747, 590, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(3182, 786, F3, 42) (dual of [786, 604, 43]-code) | [i] | ✔ | |
| 16 | Linear OA(3180, 780, F3, 42) (dual of [780, 600, 43]-code) | [i] | ✔ | |
| 17 | Linear OA(3177, 770, F3, 42) (dual of [770, 593, 43]-code) | [i] | ✔ | |
| 18 | Linear OA(3175, 764, F3, 42) (dual of [764, 589, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(3167, 759, F3, 41) (dual of [759, 592, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(3176, 768, F3, 42) (dual of [768, 592, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(3174, 762, F3, 42) (dual of [762, 588, 43]-code) | [i] | ✔ | |
| 22 | Linear OA(3156, 742, F3, 40) (dual of [742, 586, 41]-code) | [i] | ✔ | |
| 23 | Linear OA(3174, 760, F3, 43) (dual of [760, 586, 44]-code) | [i] | ✔ | |