Information on Result #611402
Linear OA(2172, 512, F2, 41) (dual of [512, 340, 42]-code), using an extension Ce(40) of 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2192, 533, F2, 41) (dual of [533, 341, 42]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2182, 522, F2, 43) (dual of [522, 340, 44]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2173, 522, F2, 41) (dual of [522, 349, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(2195, 528, F2, 45) (dual of [528, 333, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(2196, 536, F2, 45) (dual of [536, 340, 46]-code) | [i] | ✔ | |
| 6 | Linear OA(2177, 528, F2, 41) (dual of [528, 351, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(2178, 536, F2, 41) (dual of [536, 358, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(2210, 545, F2, 47) (dual of [545, 335, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(2212, 552, F2, 47) (dual of [552, 340, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(2183, 545, F2, 41) (dual of [545, 362, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(2185, 552, F2, 41) (dual of [552, 367, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(2233, 573, F2, 51) (dual of [573, 340, 52]-code) | [i] | ✔ | |
| 13 | Linear OA(2226, 560, F2, 49) (dual of [560, 334, 50]-code) | [i] | ✔ | |
| 14 | Linear OA(2227, 567, F2, 49) (dual of [567, 340, 50]-code) | [i] | ✔ | |
| 15 | Linear OA(2250, 582, F2, 53) (dual of [582, 332, 54]-code) | [i] | ✔ | |
| 16 | Linear OA(2252, 592, F2, 53) (dual of [592, 340, 54]-code) | [i] | ✔ | |
| 17 | Linear OA(2249, 587, F2, 53) (dual of [587, 338, 54]-code) | [i] | ✔ | |
| 18 | Linear OA(2232, 567, F2, 51) (dual of [567, 335, 52]-code) | [i] | ✔ | |
| 19 | Linear OA(2211, 547, F2, 47) (dual of [547, 336, 48]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(2209, 543, F2, 47) (dual of [543, 334, 48]-code) | [i] | ✔ | |
| 21 | Linear OA(2208, 541, F2, 47) (dual of [541, 333, 48]-code) | [i] | ✔ | |
| 22 | Linear OA(2195, 529, F2, 45) (dual of [529, 334, 46]-code) | [i] | ✔ | |
| 23 | Linear OA(2194, 527, F2, 45) (dual of [527, 333, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(2202, 547, F2, 45) (dual of [547, 345, 46]-code) | [i] | ✔ | |
| 25 | Linear OA(2200, 543, F2, 45) (dual of [543, 343, 46]-code) | [i] | ✔ | |
| 26 | Linear OA(2199, 541, F2, 45) (dual of [541, 342, 46]-code) | [i] | ✔ | |
| 27 | Linear OA(2186, 529, F2, 43) (dual of [529, 343, 44]-code) | [i] | ✔ | |
| 28 | Linear OA(2185, 527, F2, 43) (dual of [527, 342, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(2177, 529, F2, 41) (dual of [529, 352, 42]-code) | [i] | ✔ | |
| 30 | Linear OA(2176, 527, F2, 41) (dual of [527, 351, 42]-code) | [i] | ✔ | |
| 31 | Linear OA(2184, 547, F2, 41) (dual of [547, 363, 42]-code) | [i] | ✔ | |
| 32 | Linear OA(2182, 543, F2, 41) (dual of [543, 361, 42]-code) | [i] | ✔ | |
| 33 | Linear OA(2181, 541, F2, 41) (dual of [541, 360, 42]-code) | [i] | ✔ | |
| 34 | Linear OOA(2172, 256, F2, 2, 41) (dual of [(256, 2), 340, 42]-NRT-code) | [i] | OOA Folding | |
| 35 | Linear OOA(2172, 128, F2, 4, 41) (dual of [(128, 4), 340, 42]-NRT-code) | [i] | ||