Information on Result #700515
Linear OA(219, 63, F2, 7) (dual of [63, 44, 8]-code), using the primitive cyclic code C(A) with length 63 = 26−1, defining set A = {0,1,3,31}, and minimum distance d ≥ |{−2,−1,…,4}|+1 = 8 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2240, 2112, F2, 41) (dual of [2112, 1872, 42]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(2260, 1084, F2, 49) (dual of [1084, 824, 50]-code) | [i] | ||
| 3 | Linear OA(2240, 1084, F2, 45) (dual of [1084, 844, 46]-code) | [i] | ||
| 4 | Linear OA(2220, 1084, F2, 41) (dual of [1084, 864, 42]-code) | [i] | ||
| 5 | Linear OA(221, 77, F2, 7) (dual of [77, 56, 8]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(227, 78, F2, 8) (dual of [78, 51, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(227, 77, F2, 9) (dual of [77, 50, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(2251, 2111, F2, 43) (dual of [2111, 1860, 44]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 9 | Linear OA(2255, 1083, F2, 49) (dual of [1083, 828, 50]-code) | [i] | ||
| 10 | Linear OA(2245, 1083, F2, 47) (dual of [1083, 838, 48]-code) | [i] | ||
| 11 | Linear OA(2235, 1083, F2, 45) (dual of [1083, 848, 46]-code) | [i] | ||
| 12 | Linear OA(2225, 1083, F2, 43) (dual of [1083, 858, 44]-code) | [i] | ||
| 13 | Linear OA(2215, 1078, F2, 41) (dual of [1078, 863, 42]-code) | [i] | ||
| 14 | Linear OA(2205, 1078, F2, 39) (dual of [1078, 873, 40]-code) | [i] | ||
| 15 | Linear OA(2195, 1078, F2, 37) (dual of [1078, 883, 38]-code) | [i] | ||
| 16 | Linear OA(2185, 1078, F2, 35) (dual of [1078, 893, 36]-code) | [i] | ||
| 17 | Linear OA(2227, 567, F2, 49) (dual of [567, 340, 50]-code) | [i] | ||
| 18 | Linear OA(2218, 567, F2, 47) (dual of [567, 349, 48]-code) | [i] | ||
| 19 | Linear OA(2209, 567, F2, 45) (dual of [567, 358, 46]-code) | [i] | ||
| 20 | Linear OA(2200, 567, F2, 43) (dual of [567, 367, 44]-code) | [i] | ||