Information on Result #611385
Linear OA(2163, 512, F2, 39) (dual of [512, 349, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39
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(2182, 532, F2, 39) (dual of [532, 350, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2173, 522, F2, 41) (dual of [522, 349, 42]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2164, 522, F2, 39) (dual of [522, 358, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(2186, 528, F2, 43) (dual of [528, 342, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(2187, 536, F2, 43) (dual of [536, 349, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(2168, 528, F2, 39) (dual of [528, 360, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(2169, 536, F2, 39) (dual of [536, 367, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(2201, 545, F2, 45) (dual of [545, 344, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(2203, 552, F2, 45) (dual of [552, 349, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(2180, 552, F2, 39) (dual of [552, 372, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(2181, 557, F2, 39) (dual of [557, 376, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(2217, 560, F2, 47) (dual of [560, 343, 48]-code) | [i] | ✔ | |
| 13 | Linear OA(2218, 567, F2, 47) (dual of [567, 349, 48]-code) | [i] | ✔ | |
| 14 | Linear OA(2241, 582, F2, 51) (dual of [582, 341, 52]-code) | [i] | ✔ | |
| 15 | Linear OA(2243, 592, F2, 51) (dual of [592, 349, 52]-code) | [i] | ✔ | |
| 16 | Linear OA(2233, 577, F2, 49) (dual of [577, 344, 50]-code) | [i] | ✔ | |
| 17 | Linear OA(2240, 587, F2, 51) (dual of [587, 347, 52]-code) | [i] | ✔ | |
| 18 | Linear OA(2237, 582, F2, 51) (dual of [582, 345, 52]-code) | [i] | ✔ | |
| 19 | Linear OA(2202, 547, F2, 45) (dual of [547, 345, 46]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(2200, 543, F2, 45) (dual of [543, 343, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(2199, 541, F2, 45) (dual of [541, 342, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(2186, 529, F2, 43) (dual of [529, 343, 44]-code) | [i] | ✔ | |
| 23 | Linear OA(2185, 527, F2, 43) (dual of [527, 342, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(2193, 547, F2, 43) (dual of [547, 354, 44]-code) | [i] | ✔ | |
| 25 | Linear OA(2191, 543, F2, 43) (dual of [543, 352, 44]-code) | [i] | ✔ | |
| 26 | Linear OA(2190, 541, F2, 43) (dual of [541, 351, 44]-code) | [i] | ✔ | |
| 27 | Linear OA(2177, 529, F2, 41) (dual of [529, 352, 42]-code) | [i] | ✔ | |
| 28 | Linear OA(2176, 527, F2, 41) (dual of [527, 351, 42]-code) | [i] | ✔ | |
| 29 | Linear OA(2168, 529, F2, 39) (dual of [529, 361, 40]-code) | [i] | ✔ | |
| 30 | Linear OA(2167, 527, F2, 39) (dual of [527, 360, 40]-code) | [i] | ✔ | |
| 31 | Linear OA(2180, 553, F2, 39) (dual of [553, 373, 40]-code) | [i] | ✔ | |
| 32 | Linear OA(2179, 551, F2, 39) (dual of [551, 372, 40]-code) | [i] | ✔ | |
| 33 | Linear OA(2177, 548, F2, 39) (dual of [548, 371, 40]-code) | [i] | ✔ | |
| 34 | Linear OA(2176, 546, F2, 39) (dual of [546, 370, 40]-code) | [i] | ✔ | |
| 35 | Linear OA(2175, 544, F2, 39) (dual of [544, 369, 40]-code) | [i] | ✔ | |
| 36 | Linear OOA(2163, 256, F2, 2, 39) (dual of [(256, 2), 349, 40]-NRT-code) | [i] | OOA Folding | |
| 37 | Linear OOA(2163, 128, F2, 4, 39) (dual of [(128, 4), 349, 40]-NRT-code) | [i] | ||