Information on Result #702637
Linear OA(2235, 511, F2, 57) (dual of [511, 276, 58]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−4,−3,…,52}, and designed minimum distance d ≥ |I|+1 = 58
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2246, 550, F2, 57) (dual of [550, 304, 58]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2242, 546, F2, 56) (dual of [546, 304, 57]-code) | [i] | ✔ | |
| 3 | Linear OA(2242, 545, F2, 57) (dual of [545, 303, 58]-code) | [i] | ✔ | |
| 4 | Linear OA(2241, 537, F2, 57) (dual of [537, 296, 58]-code) | [i] | ✔ | |
| 5 | Linear OA(2255, 550, F2, 59) (dual of [550, 295, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(2251, 546, F2, 58) (dual of [546, 295, 59]-code) | [i] | ✔ | |
| 7 | Linear OA(2251, 545, F2, 59) (dual of [545, 294, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(2250, 537, F2, 59) (dual of [537, 287, 60]-code) | [i] | ✔ | |
| 9 | Linear OOA(2235, 170, F2, 3, 57) (dual of [(170, 3), 275, 58]-NRT-code) | [i] | OOA Folding | |