Information on Result #611191
Linear OA(2100, 512, F2, 23) (dual of [512, 412, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(2110, 522, F2, 25) (dual of [522, 412, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2101, 522, F2, 23) (dual of [522, 421, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(2123, 528, F2, 27) (dual of [528, 405, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(2124, 536, F2, 27) (dual of [536, 412, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(2105, 528, F2, 23) (dual of [528, 423, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(2106, 536, F2, 23) (dual of [536, 430, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(2138, 545, F2, 29) (dual of [545, 407, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(2140, 552, F2, 29) (dual of [552, 412, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(2139, 547, F2, 29) (dual of [547, 408, 30]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(2137, 543, F2, 29) (dual of [543, 406, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(2136, 541, F2, 29) (dual of [541, 405, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(2123, 529, F2, 27) (dual of [529, 406, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(2122, 527, F2, 27) (dual of [527, 405, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(2130, 547, F2, 27) (dual of [547, 417, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(2128, 543, F2, 27) (dual of [543, 415, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(2127, 541, F2, 27) (dual of [541, 414, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(2113, 527, F2, 25) (dual of [527, 414, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(2105, 529, F2, 23) (dual of [529, 424, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(2104, 527, F2, 23) (dual of [527, 423, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(2110, 543, F2, 23) (dual of [543, 433, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(2109, 541, F2, 23) (dual of [541, 432, 24]-code) | [i] | ✔ | |
| 22 | Linear OOA(2100, 256, F2, 2, 23) (dual of [(256, 2), 412, 24]-NRT-code) | [i] | OOA Folding | |
| 23 | Linear OOA(2100, 128, F2, 4, 23) (dual of [(128, 4), 412, 24]-NRT-code) | [i] | ||