• Title/Summary/Keyword: 선형 복잡도

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Improved Differential-Linear Cryptanalysis Using DLCT (DLCT를 활용한 향상된 차분선형 분석)

  • Kim, Hyunwoo;Kim, Seonggyeom;Hong, Deukjo;Sung, Jaechul;Hong, Seokhie
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.28 no.6
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    • pp.1379-1392
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    • 2018
  • The complexity of the differential-linear cryptanalysis is strongly influenced by the probability of the differential-linear characteristic computed under the assumption of round independence, linear approximation independence, and uniformity for the trail that does not satisfy differential trail. Therefore, computing the exact probability of the differential-linear characteristic is a very important issue related to the validity of the attack. In this paper, we propose a new concept called DLCT(Differential-Linear Connectivity Table) for the differential-linear cryptanalysis. Additionally, we propose an improved probability computation technique of differential-linear characteristic by applying DLCT. By doing so, we were able to weaken linear approximation independence assumption. We reanalyzed the previous results by applying DLCT to DES and SERPENT. The probability of 7-round differential-linear characteristic of DES is $1/2+2^{-5.81}$, the probability of 9-round differential-linear characteristic of SERPENT is computed again to $1/2+2^{-57.9}$, and data complexity required for the attack is reduced by $2^{0.2}$ and $2^{2.2}$ times, respectively.

On the ${\kappa}$-Error Linear Complexity of $p^m$-Periodic Binary Sequences and Its Applications to Binary Cyclic Codes ($p^m$-주기 이진 수열의 ${\kappa}$-오류 선형복잡도와 이진 순환 부호에의 응용)

  • Han Yun-Kyoung;Yang Kyeong-Cheol
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.9C
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    • pp.846-852
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    • 2006
  • The ${\kappa}$-error linear complexity is a ky measure of the stability of the sequences used in the areas of communication systems, stream ciphers in cryptology and so on. This paper introduces an efficient algorithm to determine the ${\kappa}$-error linear complexity and the corresponding error vectors of $p^m$-periodic binary sequences, where : is a prime and 2 is a primitive root modulo $p^2$. We also give a new sense about the ${\kappa}$-error linear complexity in viewpoint of coding theory instead of cryptographic results. We present an efficient algorithm for decoding binary cyclic codes of length $p^m$ and derive key properties of the minimum distance of these codes.

On the Characteristic and Analysis of FCSR Sequences for Linear Complexity (선형복잡도 측면에서 FCSR의 이론절인 특성 및 분석 연구)

  • Seo Chang-Ho;Kim Seok-Woo
    • Journal of KIISE:Computer Systems and Theory
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    • v.32 no.10
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    • pp.507-511
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    • 2005
  • We have derived the linear complexity of a binary sequence generated by a Feedback with Carry Shift Regiater(FCSR) under the following condition: q is a power of a prime such that $q=r^e,\;(e{\geq}2)$ and r=2p+1, where both r and p are 2-prime. Also, a summation generator creates sequence from addition with carry of LFSR(Linear Feedback Shift Register) sequences. Similarly, it is possible to generate keystream by bitwise exclusive-oring on two FCSR sequences. In this paper, we described the cryptographic properties of a sequence generated by the FCSRs in view of the linear complexity.

Interpolation-based Precoding Approximation Algorithm for Low Complexity in Multiuser MIMO-OFDM Systems (다중 사용자 MIMO-OFDM 시스템에서 계산양 감소를 위한 선형 보간법 기반 프리코딩 근사화 기법)

  • Lim, Dong-Ho;Kim, Bong-Seok;Choi, Kwon-Hue
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.11A
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    • pp.1027-1037
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    • 2010
  • In this paper, we propose the linear interpolation-based BD (Block Diagonalization) precoding approximation algorithm for low complexity in downlink multiuser MIMO-OFDM (Multiple-input Multiple-output Orthogonal Frequency Division Multiplexing) systems. In the case of applying the general BD precoding algorithm to multiuser MIMO-OFDM systems, the computational complexity increases in proportional to the number of subcarriers. The proposed interpolation-based BD precoding approximation algorithm can be achieved similar SER performance with general BD algorithm and can decrease the computational complexity. It is proved that proposed algorithm can achieve the significantly decreased computational complexity by computer simulation.

Nonlinear Optimization Method for Multiple Image Registration (다수의 영상 특징점 정합을 위한 비선형 최적화 기법)

  • Ahn, Yang-Keun;Hong, Ji-Man
    • Journal of Broadcast Engineering
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    • v.17 no.4
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    • pp.634-639
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    • 2012
  • In this paper, we propose nonlinear optimization method for feature matching from multiple view image. Typical solution of feature matching is by solving linear equation. However this solution has large error due to nonlinearity of image formation model. If typical nonlinear optimization method is used, complexity grows exponentially over the number of features. To make complexity lower, we use sparse Levenberg-Marquardt nonlinear optimization for matching of features over multiple view image.

An MCS Level Adaptive Linear Receiver (MCS 레벨에 따른 적응 선형 수신기)

  • Lee, Kyuhee;Kim, Jaekwon;Yun, Sangkyun
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.2 no.1
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    • pp.59-64
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    • 2009
  • In this paper, a novel low complexity linear receiver is proposed that is used at the receiver of MIMO systems. Zero-forcing (ZF) and minimum mean squared error (MMSE) receivers are common linear receivers. ZF receiver is simpler than MMSE receiver from the hardware implementation perspective, howerver, MMSE shows better performance than ZF. In general, MCS level changes according to channel condition. This paper shows the benefit of choosing between MMSE and ZF according to the selected MCS level. We implement the MCS-adaptive linear receiver as hardware, and show that its complexity is comparable to the conventional MMSE receiver.

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Multi-class Classification System Based on Multi-loss Linear Combination for Word Spacing and Sentence Boundary Detection (띄어쓰기 및 문장 경계 인식을 위한 다중 손실 선형 결합 기반의 다중 클래스 분류 시스템)

  • Kim, GiHwan;Seo, Jisu;Lee, Kyungyeol;Ko, Youngjoong
    • Annual Conference on Human and Language Technology
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    • 2018.10a
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    • pp.185-188
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    • 2018
  • 띄어쓰기와 문장 경계 인식은 그 성능에 따라 자연어 분석 단계에서 오류를 크게 전파하기 때문에 굉장히 중요한 문제로 인식되고 있지만 각각 서로 다른 자질을 사용하는 문제 때문에 각각 다른 모델을 사용해 순차적으로 해결하였다. 그러나 띄어쓰기와 문장 경계 인식은 완전히 다른 문제라고는 볼 수 없으며 두 모델의 순차적 수행은 앞선 모델의 오류가 다음 모델에 전파될 뿐만 아니라 시간 복잡도가 높아진다는 문제점이 있다. 본 논문에서는 띄어쓰기와 문장 경계 인식을 하나의 문제로 보고 한 번에 처리하는 다중 클래스 분류 시스템을 통해 시간 복잡도 문제를 해결하고 다중 손실 선형 결합을 사용하여 띄어쓰기와 문장 경계 인식이 서로 다른 자질을 사용하는 문제를 해결했다. 최종 모델은 띄어쓰기와 문장 경계 인식 기본 모델보다 각각 3.98%p, 0.34%p 증가한 성능을 보였다. 시간 복잡도 면에서도 단일 모델의 순차적 수행 시간보다 38.7% 감소한 수행 시간을 보였다.

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Low Complexity ML Detection Based on Linear Detectors in MIMO Systems (MIMO시스템에서 저 복잡도 선형 ML검출 기법)

  • Niyizamwiyitira, Christine;Kang, Chul-Gyu;Oh, Chang-Heon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.11
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    • pp.2405-2411
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    • 2009
  • MMSE, ZF and ML are the decoding mechanisms for V-BLAST system, and ML shows the best performance decoding the original signal among them. However, it has a problem that the computation complexity is increased exponentially according to the number of transmit antennas and transmit degrees. In this paper, we propose a low complexity linear ML detection algorithm having low computation complexity, then analyze the system performance in BER and computation complexity comparing with other algorithms. In the simulation, the BER performance of the proposed algorithm is superior than ZF and MMSE detection algorithms, and similar to ML detection algorithm. However, its computation complexity was 50% less than ML algorithm. From the results, we confirm that the proposed algorithm is superior than other ML detection algorithms.

Reduction of Structural and Computational Complexity in IMD Reduction Method of the PTS-based OFDM Communication System (PTS 방식의 OFDM 통신 시스템에서 IMD 저감 기법의 복잡도와 계산량 저감)

  • Kim, Seon-Ae;Lee, Il-Jin;Baek, Gwang-Hoon;Ryu, Heung-Gyoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.8A
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    • pp.583-591
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    • 2009
  • OFDM(orthogonal frequency division multiplexing) signal with high PAPR(peak to average power ratio) produces the nonlinear distortion and/or decreases down the power efficiency of HPA(high power amplifier). So, the IMD(inter-modulation distortion) reduction method was proposed to reduce the nonlinear distortion, which shows better BER(bit error rate) performance than the PAPR reduction methods. However, IMD reduction method has inherent problem which system complexity and processing time increases because the FFT(fast Fourier transform) processor is added in transmitter and decision criterion of IMD reduction method is computed in frequency domain,. In this paper, therefore, we propose a new IMD reduction method to reduce the computational complexity and structure of IMD computation. And we apply this proposed method into OFDM system using PTS(partial transmit sequence) scheme and compare the computational complexity between conventional and proposed IMD reduction method. This method can reduce the system size and computational complexity. Also, the proposed has almost same BER performance with the conventional IMD reduction method.

GMW 계열의 특성 분석

  • 염흥열;김춘수;이홍섭
    • Review of KIISC
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    • v.6 no.1
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    • pp.33-44
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    • 1996
  • 본 고에서는 참고문헌 [9]을 바탕으로 선형복잡도 특성이 우수하고 이상적인 자기상관함수 특성을 갖는 GMW 계열의 특성을 분석한다. 이를 위하여 먼저 LFSR 계열의 특성방정식을 제시한 후, 트레이스함수를 이용하여 GMW 계열을 정의한다. 그리고 GMW 계열의 자기상관함수를 구하며, 차수가 6인 GMW 계열의 생성기의 구조를 제시한다. 마지막으로 GMW 계열의 선형복잡도와 갯수를 구하는 수식을 유도한다.

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