Information on Result #704651
Linear OA(3136, 728, F3, 35) (dual of [728, 592, 36]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {333,334,…,367}, and designed minimum distance d ≥ |I|+1 = 36
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3154, 781, F3, 35) (dual of [781, 627, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3151, 772, F3, 35) (dual of [772, 621, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(3148, 772, F3, 35) (dual of [772, 624, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(3144, 742, F3, 37) (dual of [742, 598, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(3173, 774, F3, 41) (dual of [774, 601, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(3175, 782, F3, 41) (dual of [782, 607, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(3173, 776, F3, 41) (dual of [776, 603, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(3185, 785, F3, 42) (dual of [785, 600, 43]-code) | [i] | ✔ | |