Meeting the Levenshtein bound with equality by weighted-correlation complementary set

• Main Authors: Liu, Zi Long, Guan, Yong Liang
• Other Authors: School of Electrical and Electronic Engineering
• Format: Conference or Workshop Item
• Language: English
• Published: 2013
• Subjects: DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory
• Online Access: https://hdl.handle.net/10356/102566; http://hdl.handle.net/10220/16358
• Institution: Nanyang Technological University

Levenshtein improved the Welch bound on aperiodic correlation by weighting the cyclic shifts of the sequences over complex roots-of-unity. Although many works have been concerned on meeting the Welch bound with equality, no such effort has been reported for the Levenshtein bound. We show that the Le...