Information on Result #611107
Linear OA(2153, 524289, F2, 17) (dual of [524289, 524136, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 524289 | 238−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound)
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(2152, 524288, F2, 16) (dual of [524288, 524136, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(2161, 524298, F2, 17) (dual of [524298, 524137, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2194, 524293, F2, 21) (dual of [524293, 524099, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(2195, 524297, F2, 21) (dual of [524297, 524102, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(2196, 524305, F2, 21) (dual of [524305, 524109, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(2197, 524321, F2, 21) (dual of [524321, 524124, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(2198, 524334, F2, 21) (dual of [524334, 524136, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(2156, 524293, F2, 17) (dual of [524293, 524137, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(2157, 524297, F2, 17) (dual of [524297, 524140, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(2158, 524305, F2, 17) (dual of [524305, 524147, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(2159, 524321, F2, 17) (dual of [524321, 524162, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(2160, 524334, F2, 17) (dual of [524334, 524174, 18]-code) | [i] | ✔ | |
| 13 | Linear OOA(2153, 174763, F2, 3, 17) (dual of [(174763, 3), 524136, 18]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(2153, 65536, F2, 17, 17) (dual of [(65536, 17), 1113959, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |