NEW CONSTRUCTION FOR FAMILIES OF BINARY SEQUENCES WITH OPTIMAL CORRELATION PROPERTIES
SCIE
SCOPUS
- Title
- NEW CONSTRUCTION FOR FAMILIES OF BINARY SEQUENCES WITH OPTIMAL CORRELATION PROPERTIES
- Authors
- No, JS; Yang, KC; Chung, HB; Song, HY
- Date Issued
- 1997-09
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGI
- Abstract
- In this correspondence, we present a construction, in a closed form, for an optimal family of 2(m) binary sequences of period 2(2m) - 1 with respect to Welch's bound, whenever there exists a balanced binary sequence of period 2(m) - 1 with ideal autocorrelation property using the trace function. This construction enables us to reinterpret a small set of Kasami and No sequences as a family constructed from m-sequences. New optimal families of binary sequences are constructed from the Legendre sequences of Mersenne prime period, Hall's sextic residue sequences, and miscellaneous sequences of unknown type. In addition, we enumerate the number of distinct families of binary sequences, which are constructed from a given binary sequence by this method.
- Keywords
- Kasami sequences; Legendre sequences; No sequences; optimal correlation property; signature sequences; PSEUDORANDOM
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/28818
- DOI
- 10.1109/18.623156
- ISSN
- 0018-9448
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, vol. 43, no. 5, page. 1596 - 1602, 1997-09
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.