Information on Result #611010
Linear OA(267, 2049, F2, 13) (dual of [2049, 1982, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, 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(266, 2048, F2, 12) (dual of [2048, 1982, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(273, 2056, F2, 13) (dual of [2056, 1983, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(292, 2053, F2, 17) (dual of [2053, 1961, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(293, 2057, F2, 17) (dual of [2057, 1964, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(294, 2065, F2, 17) (dual of [2065, 1971, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(295, 2077, F2, 17) (dual of [2077, 1982, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(270, 2053, F2, 13) (dual of [2053, 1983, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(271, 2057, F2, 13) (dual of [2057, 1986, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(272, 2065, F2, 13) (dual of [2065, 1993, 14]-code) | [i] | ✔ | |
| 10 | Linear OOA(267, 683, F2, 3, 13) (dual of [(683, 3), 1982, 14]-NRT-code) | [i] | OOA Folding | |