Before revision: Trace Reconstruction is the problem of learning an unknown string x from independent traces of x, where traces are generated by independently deleting each bit of x with some deletion probability q. In this paper, we initiate the study of Circular Trace Reconstruction , where the unknown string x is circular and traces are now rotated by a random cyclic shift.
After revision: Trace Reconstruction is the problem of learning an unknown string x from independent traces of x, where traces are generated by independently deleting each bit of x with some deletion probability q. In this paper, we initiate the study of Circular trace reconstruction , where the unknown string x is circular and traces are now rotated by a random cyclic shift.