Information on Result #702132
Linear OA(290, 511, F2, 20) (dual of [511, 421, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(2129, 550, F2, 26) (dual of [550, 421, 27]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2105, 535, F2, 23) (dual of [535, 430, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(2102, 532, F2, 22) (dual of [532, 430, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(2120, 550, F2, 25) (dual of [550, 430, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(2116, 546, F2, 24) (dual of [546, 430, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(2114, 535, F2, 25) (dual of [535, 421, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(2111, 532, F2, 24) (dual of [532, 421, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(2129, 550, F2, 27) (dual of [550, 421, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(2125, 546, F2, 26) (dual of [546, 421, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(2139, 554, F2, 28) (dual of [554, 415, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(2139, 560, F2, 28) (dual of [560, 421, 29]-code) | [i] | ✔ | |
| 12 | Linear OOA(290, 170, F2, 3, 20) (dual of [(170, 3), 420, 21]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(290, 102, F2, 5, 20) (dual of [(102, 5), 420, 21]-NRT-code) | [i] | ||
| 14 | Linear OOA(290, 85, F2, 6, 20) (dual of [(85, 6), 420, 21]-NRT-code) | [i] | ||
| 15 | Linear OOA(290, 73, F2, 7, 20) (dual of [(73, 7), 421, 21]-NRT-code) | [i] | ||