Information on Result #611028
Linear OA(2103, 131073, F2, 13) (dual of [131073, 130970, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 131073 | 234−1, 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(2102, 131072, F2, 12) (dual of [131072, 130970, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(2109, 131080, F2, 13) (dual of [131080, 130971, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2140, 131077, F2, 17) (dual of [131077, 130937, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(2141, 131081, F2, 17) (dual of [131081, 130940, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(2142, 131089, F2, 17) (dual of [131089, 130947, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(2143, 131105, F2, 17) (dual of [131105, 130962, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(2144, 131114, F2, 17) (dual of [131114, 130970, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(2106, 131077, F2, 13) (dual of [131077, 130971, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(2107, 131081, F2, 13) (dual of [131081, 130974, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(2108, 131089, F2, 13) (dual of [131089, 130981, 14]-code) | [i] | ✔ | |
| 11 | Linear OOA(2103, 43691, F2, 3, 13) (dual of [(43691, 3), 130970, 14]-NRT-code) | [i] | OOA Folding | |