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A Review Study of Prime Period Perfect Gaussian Integer Sequences
AxiomsPrime period sequences can serve as the fundamental tool to construct arbitrary composite period sequences. This is a review study of the prime period perfect Gaussian integer sequence (PGIS).
Ho-Hsuan Chang +3 more
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Constructions of perfect Gaussian integer sequences of odd prime length [PDF]
Tongxin xuebao, 2018 Constructions of perfect Gaussian integer sequences (PGIS) based on the cyclotomic classes were proposed.The PGIS with degree 3 and 5 were constructed respectively from the cyclotomic classes of order 2 and 4.The presented sequences with odd prime length
Yubo LI, Miao CHEN, Tao LIU, Ying ZHANG
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Perfect Gaussian Integer Sequences With Two Cycles
IEEE AccessThe complex sequences including Gaussian integers have received considerable attention in the past due to their wide applications in communications and cryptosystems. This paper proposes three new base sequences along with six known ones to construct two
Kun-Lin Lee, Chong-Dao Lee, Yan-Haw Chen
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Perfect Gaussian Integer Sequences of Arbitrary Composite Length [PDF]
IEEE Transactions on Information Theory, 2015 A composite number can be factored into either $N=mp$ or $N=2^{n}$ , where $p$ is an odd prime and $m$ , $n\geq 2$ are integers. This paper proposes a method for constructing degree-3 and degree-4 perfect Gaussian integer sequences (PGISs) of an arbitrary composite length utilizing an upsampling technique and the base ...
Chih-Peng Li +2 more
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Further results on degree‐2 perfect Gaussian integer sequences
IET Communications, 2016 A complex number whose real and imaginary parts are both integers is called a Gaussian integer . A Gaussian integer sequence is said to be perfect if it has an ideal periodic autocorrelation function (PACF) where all out‐of‐phase values are zero ...
Chih-Peng Li +2 more
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Perfect Gaussian Integer Sequence Pairs
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2014 Chengqian Xu, Peng Xiuping
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Perfect Gaussian Integer Sequences of Degree-4 Using Difference Sets
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2016 Chengqian Xu +2 more
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New Perfect Gaussian Integer Sequences from Cyclic Difference Sets
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2017 Yubo Li, Chengqian Xu
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Perfect Gaussian Integer Sequence Pairs from Cyclic Difference Set Pairs
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2018 Hongbin Lin, Peng Xiuping
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Novel Hybrid Public/Private Key Cryptography Based on Perfect Gaussian Integer Sequences
IEEE Access, 2021 This paper proposes a novel hybrid public/private key cryptography scheme based on perfect Gaussian integer sequences (PGISs) of period $N=pq$ . First, a review study of construction degree-4 PGIS is addressed.
Ching-Hsien Hsia +3 more
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