Information on Result #704067
Linear OA(3135, 728, F3, 34) (dual of [728, 593, 35]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3135, 609, F3, 2, 34) (dual of [(609, 2), 1083, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3135, 609, F3, 3, 34) (dual of [(609, 3), 1692, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(3135, 609, F3, 4, 34) (dual of [(609, 4), 2301, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(3135, 609, F3, 5, 34) (dual of [(609, 5), 2910, 35]-NRT-code) | [i] | ||
| 5 | Digital (101, 135, 609)-net over F3 | [i] | ||
| 6 | Linear OA(3181, 772, F3, 42) (dual of [772, 591, 43]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(3184, 799, F3, 41) (dual of [799, 615, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(3183, 794, F3, 41) (dual of [794, 611, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(3167, 778, F3, 39) (dual of [778, 611, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(3180, 789, F3, 41) (dual of [789, 609, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(3179, 784, F3, 41) (dual of [784, 605, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(3153, 752, F3, 38) (dual of [752, 599, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(3161, 760, F3, 39) (dual of [760, 599, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(3174, 771, F3, 41) (dual of [771, 597, 42]-code) | [i] | ✔ | |
| 15 | Linear OA(3150, 743, F3, 38) (dual of [743, 593, 39]-code) | [i] | ✔ | |
| 16 | Linear OA(3160, 753, F3, 40) (dual of [753, 593, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(3158, 748, F3, 39) (dual of [748, 590, 40]-code) | [i] | ✔ | |
| 18 | Linear OA(3177, 769, F3, 42) (dual of [769, 592, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(3181, 772, F3, 43) (dual of [772, 591, 44]-code) | [i] | ✔ | |
| 20 | Linear OA(3175, 763, F3, 42) (dual of [763, 588, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(3195, 787, F3, 45) (dual of [787, 592, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(3199, 790, F3, 46) (dual of [790, 591, 47]-code) | [i] | ✔ | |
| 23 | Linear OA(3193, 781, F3, 45) (dual of [781, 588, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(3198, 785, F3, 46) (dual of [785, 587, 47]-code) | [i] | ✔ | |
| 25 | Linear OA(3207, 794, F3, 47) (dual of [794, 587, 48]-code) | [i] | ✔ | |