Information on Result #705733
Linear OA(3202, 728, F3, 52) (dual of [728, 526, 53]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,51], and designed minimum distance d ≥ |I|+1 = 53
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]
- 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3219, 757, F3, 54) (dual of [757, 538, 55]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3221, 757, F3, 55) (dual of [757, 536, 56]-code) | [i] | ✔ | |
| 3 | Linear OA(3218, 754, F3, 54) (dual of [754, 536, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(3216, 748, F3, 54) (dual of [748, 532, 55]-code) | [i] | ✔ | |
| 5 | Linear OA(3218, 748, F3, 55) (dual of [748, 530, 56]-code) | [i] | ✔ | |
| 6 | Linear OA(3214, 740, F3, 54) (dual of [740, 526, 55]-code) | [i] | ✔ | |
| 7 | Linear OOA(3202, 364, F3, 2, 52) (dual of [(364, 2), 526, 53]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3202, 182, F3, 4, 52) (dual of [(182, 4), 526, 53]-NRT-code) | [i] | ||