Information on Result #702145
Linear OA(2171, 511, F2, 40) (dual of [511, 340, 41]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
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 OA(2183, 550, F2, 40) (dual of [550, 367, 41]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2210, 550, F2, 46) (dual of [550, 340, 47]-code) | [i] | ✔ | |
| 3 | Linear OA(2245, 579, F2, 52) (dual of [579, 334, 53]-code) | [i] | ✔ | |
| 4 | Linear OA(2247, 582, F2, 52) (dual of [582, 335, 53]-code) | [i] | ✔ | |
| 5 | Linear OA(2248, 584, F2, 52) (dual of [584, 336, 53]-code) | [i] | ✔ | |
| 6 | Linear OA(2249, 589, F2, 52) (dual of [589, 340, 53]-code) | [i] | ✔ | |
| 7 | Linear OA(2206, 564, F2, 45) (dual of [564, 358, 46]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(2202, 560, F2, 44) (dual of [560, 358, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(2186, 535, F2, 43) (dual of [535, 349, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(2183, 532, F2, 42) (dual of [532, 349, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(2217, 571, F2, 46) (dual of [571, 354, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(2216, 568, F2, 46) (dual of [568, 352, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(2201, 550, F2, 45) (dual of [550, 349, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(2197, 546, F2, 44) (dual of [546, 349, 45]-code) | [i] | ✔ | |
| 15 | Linear OA(2212, 557, F2, 46) (dual of [557, 345, 47]-code) | [i] | ✔ | |
| 16 | Linear OA(2211, 554, F2, 46) (dual of [554, 343, 47]-code) | [i] | ✔ | |
| 17 | Linear OA(2195, 535, F2, 45) (dual of [535, 340, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(2192, 532, F2, 44) (dual of [532, 340, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(2210, 550, F2, 47) (dual of [550, 340, 48]-code) | [i] | ✔ | |
| 20 | Linear OA(2206, 546, F2, 46) (dual of [546, 340, 47]-code) | [i] | ✔ | |
| 21 | Linear OA(2221, 557, F2, 48) (dual of [557, 336, 49]-code) | [i] | ✔ | |
| 22 | Linear OA(2220, 554, F2, 48) (dual of [554, 334, 49]-code) | [i] | ✔ | |
| 23 | Linear OA(2224, 564, F2, 49) (dual of [564, 340, 50]-code) | [i] | ✔ | |
| 24 | Linear OA(2220, 560, F2, 48) (dual of [560, 340, 49]-code) | [i] | ✔ | |
| 25 | Linear OOA(2171, 255, F2, 2, 40) (dual of [(255, 2), 339, 41]-NRT-code) | [i] | OOA Folding | |
| 26 | Linear OOA(2171, 170, F2, 3, 40) (dual of [(170, 3), 339, 41]-NRT-code) | [i] | ||
| 27 | Linear OOA(2171, 127, F2, 4, 40) (dual of [(127, 4), 337, 41]-NRT-code) | [i] | ||
| 28 | Linear OOA(2171, 102, F2, 5, 40) (dual of [(102, 5), 339, 41]-NRT-code) | [i] | ||