• Journal of the Korea Institute of Information and Communication Engineering
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• v.17 no.3
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• pp.619-626
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• 2013

The design of PN(Pseudo Noise) sequences with good cross-correlation properties is important for many research areas in communication systems. In this paper we propose new family of binary sequences $S^r=\{Tr_1^m\{[Tr_m^n(a{\alpha}^t+{\alpha}^{dt})]^r\}{\mid}a{\in}GF(2^n),\;0{\leq}t<2^n-1\}$ composed of Gold-like sequences and find the value of cross-correlation function when $d=2^{n-1}(3{\cdot}2^m-1)$, where n=2k, gcd(r, $2^m-1$)=1. Also we analyze the linear span of $S^r$ for some special r. Proposed sequences are extension of Gold-like sequences and GMW-sequences.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.30 no.5C
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• pp.313-319
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• 2005

In this paper, we propose a class of polyphase signature sequences, whose general odd correlation properties are useful for 4-phase signaling systems. The performance of the direct sequence code division multiple access (DS/CDMA) systems using the proposed sequences is compared with that using binary pseudo-noise sequences. The performance of the system using the proposed sequence is shown to be better than that using other conventional sequences both from the worst-case analysis and bit error rate simulations.

• The Journal of the Korea institute of electronic communication sciences
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• v.7 no.4
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• pp.827-832
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• 2012

In this paper, we present a new decimated Gold-like m-sequence with a binary m-sequence of period $2^n-1$. And we show that the cross-correlation function of the proposed sequence is four-valued.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.34 no.2C
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• pp.158-162
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• 2009

In this paper, we propose a quaternary sequence with good autocorrelation property. New quaternary sequence is generated by using inverse Gray mapping and binary sequence with ideal autocorrelation. And the maximum magnitude of nontrivial correlation value is 3. Proposed quaternary sequence has only one 1 in one period, so called almost binary sequence. Therefore the balance property is not good, but value of its weight function is nearly 0.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.19 no.5
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• pp.1104-1109
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• 2015

Due to the rapid growth in digital contents, it is important for us to design a high speed and secure encryption algorithm which is able to comply with the existing and future needs. This paper proposes an alternative approach for self-decimated LM-128 summation sequence generator, which will generate a higher throughput if compared to the conventional generator. We design and implement a threshold clock-controlled LM-128 and prove that it has a lower clock cycle and hence giving a higher key stream generation speed. The proposed threshold clock-control LM-128 generator consists of 256 bits inner state with 128 bits secret key and initialization vector. The cipher achieves a security level of 128 bits to be adapted to the digital contents security with high definition and high quality.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.17 no.12
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• pp.2875-2882
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• 2013

The design of PN(Pseudo Noise) sequences with good cross-correlation properties is important for many research areas in communication systems. Also analyses of cross-correlation frequency between designed sequences have been researched. In this paper we analyze of cross-correlation distribution and properties of non-linear binary sequences family $S^r=\{Tr^m_1\{[Tr^n_m(a{\alpha}^t+{\alpha}^{dt}]^r\}{\mid}a{\in}GF(2^m),0{\leq}t &lt; 2^n-1\}$, where $gcd(r,2^m-1)=1$ with 5-valued cross-correlation.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.7 no.4
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• pp.81-90
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• 1997

키 수열 발생기는 함수 조합 형태에 따라 여러 가지로 분류될 수 있으며, 비도 기본 요소(랜덤 특성, 주기, 선형 복잡도, 상관 면역도, 키 수열의 수 등)는 비선형 함수에 따라 달라진다. 모든 기본 요소를 잘 만족하는 키 수열 발생기는 설계가 어렵지만, 각 요소별로 특성이 뛰어난 발생기를 잘 조합하면 고비도 시스템을 설계할 수 있다. 본 논문에서는 선형 복잡도와 상관 면역도 측면에서 강한 개선된 합산 수열 발생기와 키 수열 수사 많은 일반화된 메모리 다수열 발생기를 조합하여 혼합형 수열 발생기를 제안하고, 비도 수준을 분석하였다.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.18 no.3
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• pp.609-616
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• 2014

Large linear span makes difficult to predict, so this study is important to the security and code system. It has been studied about the non-linear binary sequences having low correlation values and large linear span. In this paper we analyze the linear span of $S^r_a(t)=Tr^m_1\{[Tr^n_m(a{\alpha}^t+{\alpha}^{dt})]^r\}$ ($a{\in}GF(2^m)$, $0{\leq}t{\leq}2^m-2$) where n=2m and $d=2^{m-2}(2^m+3)$.

• The Journal of the Korea institute of electronic communication sciences
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• v.7 no.2
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• pp.263-269
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• 2012

Code-Division Multiple-Access(CDMA) allows several users simultaneous access to a common channel by assigning a distinct pseudonoise sequence called spectrum code to each user. Each user in a CDMA system uses a assigned spectrum code to modulate their signal. Choosing the codes used to modulate the signal is very important in the performance of CDMA systems. The best performance will occur when there is good separation between the signal of a desired user and the signals of other users. The receiver synchronizes the code to recover the data. The use of an independent code allows multiple users to access the same frequency band at the same time. In this paper we propose a generalized model of non-linear binary sequence using trace function and analyze cross-correlation of these sequences. These sequences with low correlation, large linear span and large family size, in a direct-sequence spread spectrum communication system, help to minimize multiple access interference, increase security degree of system and enlarge user number.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2012.05a
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• pp.237-240
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• 2012

Binary sequences of period $N=2^k-1$ are widely used in many areas of engineering and sciences. Some well-known applications include code-division multiple-access (CDMA) communications and stream cipher systems. In this paper, we analyze the equation $(x+1)^d=x^d+1$ over finite fields. The $d$ of the equation is used to analyze cross-correlation of binary sequences.