Information on Result #611411
Linear OA(2181, 512, F2, 43) (dual of [512, 331, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
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(2202, 534, F2, 43) (dual of [534, 332, 44]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2191, 522, F2, 45) (dual of [522, 331, 46]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2182, 522, F2, 43) (dual of [522, 340, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(2204, 528, F2, 47) (dual of [528, 324, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(2205, 536, F2, 47) (dual of [536, 331, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(2186, 528, F2, 43) (dual of [528, 342, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(2187, 536, F2, 43) (dual of [536, 349, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(2225, 552, F2, 51) (dual of [552, 327, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(2226, 557, F2, 51) (dual of [557, 331, 52]-code) | [i] | ✔ | |
| 10 | Linear OA(2219, 545, F2, 49) (dual of [545, 326, 50]-code) | [i] | ✔ | |
| 11 | Linear OA(2221, 552, F2, 49) (dual of [552, 331, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(2192, 545, F2, 43) (dual of [545, 353, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(2194, 552, F2, 43) (dual of [552, 358, 44]-code) | [i] | ✔ | |
| 14 | Linear OA(2242, 573, F2, 53) (dual of [573, 331, 54]-code) | [i] | ✔ | |
| 15 | Linear OA(2199, 560, F2, 43) (dual of [560, 361, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(2200, 567, F2, 43) (dual of [567, 367, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(2259, 582, F2, 55) (dual of [582, 323, 56]-code) | [i] | ✔ | |
| 18 | Linear OA(2260, 591, F2, 54) (dual of [591, 331, 55]-code) | [i] | ✔ | |
| 19 | Linear OA(2258, 587, F2, 55) (dual of [587, 329, 56]-code) | [i] | ✔ | |
| 20 | Linear OA(2225, 555, F2, 51) (dual of [555, 330, 52]-code) | [i] | ✔ | |
| 21 | Linear OA(2225, 556, F2, 51) (dual of [556, 331, 52]-code) | [i] | ✔ | |
| 22 | Linear OA(2220, 547, F2, 49) (dual of [547, 327, 50]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(2224, 550, F2, 51) (dual of [550, 326, 52]-code) | [i] | ✔ | |
| 24 | Linear OA(2223, 548, F2, 51) (dual of [548, 325, 52]-code) | [i] | ✔ | |
| 25 | Linear OA(2218, 543, F2, 49) (dual of [543, 325, 50]-code) | [i] | ✔ | |
| 26 | Linear OA(2222, 546, F2, 51) (dual of [546, 324, 52]-code) | [i] | ✔ | |
| 27 | Linear OA(2217, 541, F2, 49) (dual of [541, 324, 50]-code) | [i] | ✔ | |
| 28 | Linear OA(2204, 529, F2, 47) (dual of [529, 325, 48]-code) | [i] | ✔ | |
| 29 | Linear OA(2203, 527, F2, 47) (dual of [527, 324, 48]-code) | [i] | ✔ | |
| 30 | Linear OA(2211, 547, F2, 47) (dual of [547, 336, 48]-code) | [i] | ✔ | |
| 31 | Linear OA(2209, 543, F2, 47) (dual of [543, 334, 48]-code) | [i] | ✔ | |
| 32 | Linear OA(2208, 541, F2, 47) (dual of [541, 333, 48]-code) | [i] | ✔ | |
| 33 | Linear OA(2195, 529, F2, 45) (dual of [529, 334, 46]-code) | [i] | ✔ | |
| 34 | Linear OA(2194, 527, F2, 45) (dual of [527, 333, 46]-code) | [i] | ✔ | |
| 35 | Linear OA(2186, 529, F2, 43) (dual of [529, 343, 44]-code) | [i] | ✔ | |
| 36 | Linear OA(2185, 527, F2, 43) (dual of [527, 342, 44]-code) | [i] | ✔ | |
| 37 | Linear OA(2193, 547, F2, 43) (dual of [547, 354, 44]-code) | [i] | ✔ | |
| 38 | Linear OA(2191, 543, F2, 43) (dual of [543, 352, 44]-code) | [i] | ✔ | |
| 39 | Linear OA(2190, 541, F2, 43) (dual of [541, 351, 44]-code) | [i] | ✔ | |
| 40 | Linear OOA(2181, 256, F2, 2, 43) (dual of [(256, 2), 331, 44]-NRT-code) | [i] | OOA Folding | |
| 41 | Linear OOA(2181, 128, F2, 4, 43) (dual of [(128, 4), 331, 44]-NRT-code) | [i] | ||