Abstract
The paper presents a new and general description of a class of one-coincidence sequence sets. The set leaders of this class are derived from the combination of N linearly independent phases of a binary m-sequence of length S= 2N−1. This class will be referred to in this paper as the m-sequence class of one-coincidence sequences. The total number of one-coincidence sets of this class is derived. It is shown that the total number of the m-sequence class of one-coincidence sets is much larger than the number previously described in the literature. A general proof of the one-coincidence property of these sets is presented, and four equivalent conditions for the existence of one-coincidence sequence sets is derived.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
