Information on Result #611043
Linear OA(2133, 4194305, F2, 13) (dual of [4194305, 4194172, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 244−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(2132, 4194304, F2, 12) (dual of [4194304, 4194172, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(2139, 4194312, F2, 13) (dual of [4194312, 4194173, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2180, 4194309, F2, 17) (dual of [4194309, 4194129, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(2181, 4194313, F2, 17) (dual of [4194313, 4194132, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(2182, 4194321, F2, 17) (dual of [4194321, 4194139, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(2183, 4194337, F2, 17) (dual of [4194337, 4194154, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(2184, 4194356, F2, 17) (dual of [4194356, 4194172, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(2136, 4194309, F2, 13) (dual of [4194309, 4194173, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(2137, 4194313, F2, 13) (dual of [4194313, 4194176, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(2138, 4194321, F2, 13) (dual of [4194321, 4194183, 14]-code) | [i] | ✔ | |
| 11 | Linear OOA(2133, 838861, F2, 5, 13) (dual of [(838861, 5), 4194172, 14]-NRT-code) | [i] | OOA Folding | |