Information on Result #611257
Linear OA(2118, 512, F2, 27) (dual of [512, 394, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(2128, 522, F2, 29) (dual of [522, 394, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2119, 522, F2, 27) (dual of [522, 403, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(2141, 528, F2, 31) (dual of [528, 387, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(2142, 536, F2, 31) (dual of [536, 394, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(2123, 528, F2, 27) (dual of [528, 405, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(2124, 536, F2, 27) (dual of [536, 412, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(2162, 552, F2, 35) (dual of [552, 390, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(2163, 557, F2, 35) (dual of [557, 394, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(2156, 545, F2, 33) (dual of [545, 389, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(2158, 552, F2, 33) (dual of [552, 394, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(2129, 545, F2, 27) (dual of [545, 416, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(2162, 555, F2, 35) (dual of [555, 393, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(2162, 556, F2, 35) (dual of [556, 394, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(2157, 547, F2, 33) (dual of [547, 390, 34]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(2161, 550, F2, 35) (dual of [550, 389, 36]-code) | [i] | ✔ | |
| 16 | Linear OA(2160, 548, F2, 35) (dual of [548, 388, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(2155, 543, F2, 33) (dual of [543, 388, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(2159, 546, F2, 35) (dual of [546, 387, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(2154, 541, F2, 33) (dual of [541, 387, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(2141, 529, F2, 31) (dual of [529, 388, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(2140, 527, F2, 31) (dual of [527, 387, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(2148, 547, F2, 31) (dual of [547, 399, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(2146, 543, F2, 31) (dual of [543, 397, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(2145, 541, F2, 31) (dual of [541, 396, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(2131, 527, F2, 29) (dual of [527, 396, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(2123, 529, F2, 27) (dual of [529, 406, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(2122, 527, F2, 27) (dual of [527, 405, 28]-code) | [i] | ✔ | |
| 28 | Linear OA(2130, 547, F2, 27) (dual of [547, 417, 28]-code) | [i] | ✔ | |
| 29 | Linear OA(2128, 543, F2, 27) (dual of [543, 415, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(2127, 541, F2, 27) (dual of [541, 414, 28]-code) | [i] | ✔ | |
| 31 | Linear OOA(2118, 256, F2, 2, 27) (dual of [(256, 2), 394, 28]-NRT-code) | [i] | OOA Folding | |
| 32 | Linear OOA(2118, 128, F2, 4, 27) (dual of [(128, 4), 394, 28]-NRT-code) | [i] | ||