Information on Result #702401
Linear OA(2172, 511, F2, 41) (dual of [511, 339, 42]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−4,−3,…,36}, and designed minimum distance d ≥ |I|+1 = 42
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2183, 550, F2, 41) (dual of [550, 367, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2179, 546, F2, 40) (dual of [546, 367, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(2179, 545, F2, 41) (dual of [545, 366, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(2178, 537, F2, 41) (dual of [537, 359, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(2192, 550, F2, 43) (dual of [550, 358, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(2188, 546, F2, 42) (dual of [546, 358, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(2188, 545, F2, 43) (dual of [545, 357, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(2187, 537, F2, 43) (dual of [537, 350, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(2206, 564, F2, 45) (dual of [564, 358, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(2202, 560, F2, 44) (dual of [560, 358, 45]-code) | [i] | ✔ | |
| 11 | Linear OA(2202, 559, F2, 45) (dual of [559, 357, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(2201, 551, F2, 45) (dual of [551, 350, 46]-code) | [i] | ✔ | |
| 13 | Linear OOA(2172, 170, F2, 3, 41) (dual of [(170, 3), 338, 42]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(2172, 102, F2, 5, 41) (dual of [(102, 5), 338, 42]-NRT-code) | [i] | ||