TY - GEN
T1 - Weakly mutually uncorrelated codes
AU - Hossein, S. M.
AU - Yazdi, Tabatabaei
AU - Kiah, Han Mao
AU - Milenkovic, Olgica
N1 - Funding Information:
The authors are grateful to Ryan Gabrys for useful discussions. Part of this work was supported by the CIA grant 2014-14081100005 and the NSF grants CCF 11-l7980, 12-18764 and 239 SBC Purdue 41010-38050
Publisher Copyright:
© 2016 IEEE.
PY - 2016/8/10
Y1 - 2016/8/10
N2 - We introduce the notion of weakly mutually uncorrelated (WMU) sequences, motivated by applications in DNA-based storage systems and synchronization protocols. WMU sequences are characterized by the property that no sufficiently long suffix of one sequence is the prefix of the same or another sequence. In addition, WMU sequences used in DNA-based storage systems are required to have balanced compositions of symbols and to be at large mutual Hamming distance from each other. We present a number of constructions for balanced, error-correcting WMU codes using Dyck paths, Knuth's balancing principle, prefix synchronized and cyclic codes.
AB - We introduce the notion of weakly mutually uncorrelated (WMU) sequences, motivated by applications in DNA-based storage systems and synchronization protocols. WMU sequences are characterized by the property that no sufficiently long suffix of one sequence is the prefix of the same or another sequence. In addition, WMU sequences used in DNA-based storage systems are required to have balanced compositions of symbols and to be at large mutual Hamming distance from each other. We present a number of constructions for balanced, error-correcting WMU codes using Dyck paths, Knuth's balancing principle, prefix synchronized and cyclic codes.
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U2 - 10.1109/ISIT.2016.7541779
DO - 10.1109/ISIT.2016.7541779
M3 - Conference contribution
AN - SCOPUS:84985961516
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2649
EP - 2653
BT - Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 IEEE International Symposium on Information Theory, ISIT 2016
Y2 - 10 July 2016 through 15 July 2016
ER -