Information on Result #702161
Linear OA(2207, 511, F2, 50) (dual of [511, 304, 51]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51
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(2207, 511, F2, 49) (dual of [511, 304, 50]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2207, 511, F2, 48) (dual of [511, 304, 49]-code) | [i] | ||
| 3 | Linear OA(2209, 513, F2, 50) (dual of [513, 304, 51]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(2238, 587, F2, 50) (dual of [587, 349, 51]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(2239, 593, F2, 50) (dual of [593, 354, 51]-code) | [i] | ||
| 6 | Linear OA(2240, 600, F2, 50) (dual of [600, 360, 51]-code) | [i] | ||
| 7 | Linear OA(2241, 607, F2, 50) (dual of [607, 366, 51]-code) | [i] | ||
| 8 | Linear OA(2242, 614, F2, 50) (dual of [614, 372, 51]-code) | [i] | ||
| 9 | Linear OA(2243, 621, F2, 50) (dual of [621, 378, 51]-code) | [i] | ||
| 10 | Linear OA(2244, 629, F2, 50) (dual of [629, 385, 51]-code) | [i] | ||
| 11 | Linear OA(2219, 550, F2, 48) (dual of [550, 331, 49]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 12 | Linear OA(2236, 579, F2, 50) (dual of [579, 343, 51]-code) | [i] | ✔ | |
| 13 | Linear OA(2238, 582, F2, 50) (dual of [582, 344, 51]-code) | [i] | ✔ | |
| 14 | Linear OA(2239, 584, F2, 50) (dual of [584, 345, 51]-code) | [i] | ✔ | |
| 15 | Linear OA(2240, 589, F2, 50) (dual of [589, 349, 51]-code) | [i] | ✔ | |
| 16 | Linear OA(2233, 582, F2, 48) (dual of [582, 349, 49]-code) | [i] | ✔ | |
| 17 | Linear OA(2246, 550, F2, 56) (dual of [550, 304, 57]-code) | [i] | ✔ | |
| 18 | Linear OA(2258, 576, F2, 56) (dual of [576, 318, 57]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 19 | Linear OA(2237, 550, F2, 54) (dual of [550, 313, 55]-code) | [i] | ✔ | |
| 20 | Linear OA(2252, 561, F2, 56) (dual of [561, 309, 57]-code) | [i] | ✔ | |
| 21 | Linear OA(2251, 558, F2, 56) (dual of [558, 307, 57]-code) | [i] | ✔ | |
| 22 | Linear OA(2231, 535, F2, 55) (dual of [535, 304, 56]-code) | [i] | ✔ | |
| 23 | Linear OA(2228, 532, F2, 54) (dual of [532, 304, 55]-code) | [i] | ✔ | |
| 24 | Linear OA(2246, 550, F2, 57) (dual of [550, 304, 58]-code) | [i] | ✔ | |
| 25 | Linear OA(2242, 546, F2, 56) (dual of [546, 304, 57]-code) | [i] | ✔ | |
| 26 | Linear OA(2257, 557, F2, 58) (dual of [557, 300, 59]-code) | [i] | ✔ | |
| 27 | Linear OA(2256, 554, F2, 58) (dual of [554, 298, 59]-code) | [i] | ✔ | |
| 28 | Linear OA(2260, 564, F2, 59) (dual of [564, 304, 60]-code) | [i] | ✔ | |
| 29 | Linear OA(2256, 560, F2, 58) (dual of [560, 304, 59]-code) | [i] | ✔ | |
| 30 | Linear OOA(2207, 255, F2, 2, 50) (dual of [(255, 2), 303, 51]-NRT-code) | [i] | OOA Folding | |
| 31 | Linear OOA(2207, 170, F2, 3, 50) (dual of [(170, 3), 303, 51]-NRT-code) | [i] | ||
| 32 | Linear OOA(2207, 127, F2, 4, 50) (dual of [(127, 4), 301, 51]-NRT-code) | [i] | ||
| 33 | Linear OOA(2207, 102, F2, 5, 50) (dual of [(102, 5), 303, 51]-NRT-code) | [i] | ||