Information on Result #611086
Linear OA(297, 4097, F2, 17) (dual of [4097, 4000, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, 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(296, 4096, F2, 16) (dual of [4096, 4000, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(2105, 4106, F2, 17) (dual of [4106, 4001, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2124, 4101, F2, 21) (dual of [4101, 3977, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(2125, 4105, F2, 21) (dual of [4105, 3980, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(2126, 4113, F2, 21) (dual of [4113, 3987, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(2127, 4127, F2, 21) (dual of [4127, 4000, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(2100, 4101, F2, 17) (dual of [4101, 4001, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(2101, 4105, F2, 17) (dual of [4105, 4004, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(2102, 4113, F2, 17) (dual of [4113, 4011, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(2103, 4127, F2, 17) (dual of [4127, 4024, 18]-code) | [i] | ✔ | |
| 11 | Linear OOA(297, 512, F2, 17, 17) (dual of [(512, 17), 8607, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |