• 제목/요약/키워드: Linear Time Complexity

검색결과 247건 처리시간 0.021초

Ensuring Data Confidentiality and Privacy in the Cloud using Non-Deterministic Cryptographic Scheme

  • John Kwao Dawson;Frimpong Twum;James Benjamin Hayfron Acquah;Yaw Missah
    • International Journal of Computer Science & Network Security
    • /
    • 제23권7호
    • /
    • pp.49-60
    • /
    • 2023
  • The amount of data generated by electronic systems through e-commerce, social networks, and data computation has risen. However, the security of data has always been a challenge. The problem is not with the quantity of data but how to secure the data by ensuring its confidentiality and privacy. Though there are several research on cloud data security, this study proposes a security scheme with the lowest execution time. The approach employs a non-linear time complexity to achieve data confidentiality and privacy. A symmetric algorithm dubbed the Non-Deterministic Cryptographic Scheme (NCS) is proposed to address the increased execution time of existing cryptographic schemes. NCS has linear time complexity with a low and unpredicted trend of execution times. It achieves confidentiality and privacy of data on the cloud by converting the plaintext into Ciphertext with a small number of iterations thereby decreasing the execution time but with high security. The algorithm is based on Good Prime Numbers, Linear Congruential Generator (LGC), Sliding Window Algorithm (SWA), and XOR gate. For the implementation in C, thirty different execution times were performed and their average was taken. A comparative analysis of the NCS was performed against AES, DES, and RSA algorithms based on key sizes of 128kb, 256kb, and 512kb using the dataset from Kaggle. The results showed the proposed NCS execution times were lower in comparison to AES, which had better execution time than DES with RSA having the longest. Contrary, to existing knowledge that execution time is relative to data size, the results obtained from the experiment indicated otherwise for the proposed NCS algorithm. With data sizes of 128kb, 256kb, and 512kb, the execution times in milliseconds were 38, 711, and 378 respectively. This validates the NCS as a Non-Deterministic Cryptographic Algorithm. The study findings hence are in support of the argument that data size does not determine the execution.

New Design for Linear Complex Precoding over ABBA Quasi-Orthogonal Space-Time Block Codes

  • 란롱;양장훈;안찬호;김동구
    • 한국통신학회논문지
    • /
    • 제33권12C호
    • /
    • pp.1062-1067
    • /
    • 2008
  • ABBA codes, a class of quasi-orthognal space-time block codes (QoSTBC) proposed by Tirkkonen and others, allow full rate and a fast maximum likelihood (ML) decoding, but do not have full diversity. In this paper, a linear complex precoder is proposed for ABBA codes to achieve full rate and full diversity. Moreover, the same diversity produce as that of orthogonal space-time block code with linear complex precoder (OSTBC-LCP) is achieved. Meanwhile, the size of the linear complex precoder can be reduced by half without affecting performance, which means the same complexity of decoding as that of the conventional ABBA code is guaranteed.

AN ELIGIBLE PRIMAL-DUAL INTERIOR-POINT METHOD FOR LINEAR OPTIMIZATION

  • Cho, Gyeong-Mi;Lee, Yong-Hoon
    • East Asian mathematical journal
    • /
    • 제29권3호
    • /
    • pp.279-292
    • /
    • 2013
  • It is well known that each kernel function defines a primal-dual interior-point method(IPM). Most of polynomial-time interior-point algorithms for linear optimization(LO) are based on the logarithmic kernel function([2, 11]). In this paper we define a new eligible kernel function and propose a new search direction and proximity function based on this function for LO problems. We show that the new algorithm has ${\mathcal{O}}((log\;p){\sqrt{n}}\;log\;n\;log\;{\frac{n}{\epsilon}})$ and ${\mathcal{O}}((q\;log\;p)^{\frac{3}{2}}{\sqrt{n}}\;log\;{\frac{n}{\epsilon}})$ iteration bound for large- and small-update methods, respectively. These are currently the best known complexity results.

짝수 홀수 분해법에 기초한 CCI의 효율적인 변형 (Efficient Modifications of Cubic Convolution Interpolation Based on Even-Odd Decomposition)

  • 조현지;유훈
    • 전기학회논문지
    • /
    • 제63권5호
    • /
    • pp.690-695
    • /
    • 2014
  • This paper presents a modified CCI image interpolation method based on the even-odd decomposition (EOD). The CCI method is a well-known technique to interpolate images. Although the method provides better image quality than the linear interpolation, its complexity still is a problem. To remedy the problem, this paper introduces analysis on the EOD decomposition of CCI and then proposes a reduced CCI interpolation in terms of complexity, providing better image quality in terms of PSNR. To evaluate the proposed method, we conduct experiments and complexity comparison. The results indicate that our method do not only outperforms the existing methods by up to 43% in terms of MSE but also requires low-complexity with 37% less computing time than the CCI method.

STBC-OFDM Decoding Method for Fast-Fading Channels

  • Lee, Kyu-In;Kim, Jae-Kwon;Cho, Yong-Soo
    • 한국통신학회논문지
    • /
    • 제32권2C호
    • /
    • pp.160-165
    • /
    • 2007
  • In this paper, we propose a novel signal detection method that achieves the maximum likelihood (ML) performance but requires much less computational complexity than the ML detection. When the well-known linear decoding method is used for space-time block coded (STBC) OFDM systems in fast-fading channels, co-channel interference (CCI) as well as inter-carrier interference (ICI) occurs. A maximum likelihood (ML) method can be employed to deal with the CCI; however, its computational complexity is very high. In this paper, we propose a signal detection method for orthogonal space-time coded OFDM systems that achieves the similar error performance as the ML method, but requires much less computational complexity.

Space-Time Block Coding Techniques for MIMO 2×2 System using Walsh-Hadamard Codes

  • Djemamar, Younes;Ibnyaich, Saida;Zeroual, Abdelouhab
    • Journal of information and communication convergence engineering
    • /
    • 제20권1호
    • /
    • pp.1-7
    • /
    • 2022
  • Herein, a new space-time block coding technique is proposed for a MIMO 2 × 2 multiple-input multiple output (MIMO) system to minimize the bit error rate (BER) in Rayleigh fading channels with reduced decoding complexity using ZF and MMSE linear detection techniques. The main objective is to improve the service quality of wireless communication systems and optimize the number of antennas used in base stations and terminals. The idea is to exploit the correlation product technique between both information symbols to transmit per space-time block code and their own orthogonal Walsh-Hadamard sequences to ensure orthogonality between both symbol vectors and create a full-rate orthogonal STBC code. Using 16 quadrature amplitude modulation and the quasi-static Rayleigh channel model in the MATLAB environment, the simulation results show that the proposed space-time block code performs better than the Alamouti code in terms of BER performance in the 2 × 2 MIMO system for both cases of linear decoding ZF and MMSE.

RPE 검색을 이용한 CELP 보코더의 불규칙 코드북 검색 (On a Reduction of Codebook Searching Time by using RPE Searching Tchnique in the CELP Vocoder)

  • 김대식
    • 한국음향학회:학술대회논문집
    • /
    • 한국음향학회 1995년도 제12회 음성통신 및 신호처리 워크샵 논문집 (SCAS 12권 1호)
    • /
    • pp.141-145
    • /
    • 1995
  • Code excited linear prediction speech coders exhibit good performance at data rates as low as 4800 bps. The major drawback to CELP type coders is their large computational requirements. In this paper, we propose a new codebook search method that preserves the quality of the CELP vocoder with reduced complexity. The basic idea is to restrict the searching range of the random codebook by using a searching technique of the regular pulse excitation. Applying the proposed method to the CELP vocoder, we can get approximately 48% complexity reduction in the codebook search.

  • PDF

선형의 시간 복잡도를 가지는 휴리스틱 k-방향 네트워크 분할 알고리즘 (A Linear-Time Heuristic Algorithm for k-Way Network Partitioning)

  • 최태영
    • 한국멀티미디어학회논문지
    • /
    • 제7권8호
    • /
    • pp.1183-1194
    • /
    • 2004
  • 네트워크 분할 문제는 주어진 네트워크를 여러 개의 블록으로 분할하되 절단집합의 크기를 최소화하는 동시에 블록들의 크기는 균일하도록 하는 문제이다. 많은 네트워크 분할 알고리즘들 중에서 반복 알고리즘 부류는 간단하면서도 효과적이라는 것이 알려져 있다. 대표적인 반복 알고리즘은 Fiduccia와 Mattheyses가 제안한 셀 단위의 이동을 하는 알고리즘, 이의 개량형인 Sanchis가 제안한 k-방향 분할 알고리즘이 있다. 이들 알고리즘은 '블록들의 균일한 크기'를 반드시 만족되어야 하는 조건으로 고정하고 있으며, 이 조건은 비효율적인 셀 이동을 유발하는 원인이 된다. Park과 Park은 블록들의 균일한 크기를 제한 조건으로 두는 대신 '균형 비용'으로 정하고, 균형 비용의 크기를 조절하는 균형 계수 R을 제안했다. 하지만 그 알고리즘은 셀 개수의 제곱에 해당하는 상당히 높은 시간복잡도를 가진다는 문제가 있다. 본 논문에서는 셀 개수의 선형에 해당하는 시간복잡도를 가지면서도 균형 비용의 장점을 이용하는 bucket 알고리즘을 제안한다. MCNC 테스트 셋을 통한 실험은 Sanchis가 제안한 알고리즘에 비해서 제안된 알고리즘이 만들어낸 분할에서의 절단 집합의 크기가 63.33%에서 92.38%로 줄어들었으며, 균형 조건을 명시하지 않았음에도 불구하고 결과 분할들은 균형 조건을 만족함을 보여준다.

  • PDF

바지선 적재 문제의 최대이득 물품 우선 적재 알고리즘 (Maximum Profit Priority Goods First Loading Algorithm for Barge Loading Problem)

  • 이상운
    • 한국컴퓨터정보학회논문지
    • /
    • 제19권10호
    • /
    • pp.169-173
    • /
    • 2014
  • 최적 해를 다항시간으로 얻을 수 있는 알고리즘이 알려져 있지 않은 NP-완전인 상자포장 문제의 일종인 바지선 적재 문제에 대해, Gu$\acute{e}$ret et al.은 $O(m^4)$ 수행 복잡도의 선형계획법으로 해를 얻고자 하였다. 반면에, 본 논문에서는 이득 우선순위로 적재하는 규칙인 O(m log m) 복잡도의 알고리즘을 제안하였다. 제안된 방법은 첫 번째로 이득 우선순위를 결정하였다. 다음으로, 이득 우선순위 물품들을 바지선에 적재하는 방법으로 초기 적재 결과를 얻었다. 마지막으로, 바지선 적재 용량을 미달하는 경우, 이전에 적재된 물품과 미선적된 물품을 상호 교환하여 바지선 적재용량을 충족시켰다. 실험 결과, 제안된 알고리즘은 NP-완전 문제인 바지선 적재 문제에 대해 선형계획법의 $O(m^4)$를 O(m log m)으로 단축시켰다.

화공약품 탱크 적재 문제의 최소 여유량 탱크 적재 알고리즘 (Minimum Margin Tank Loading Algorithm for Chemical Tank Loading Problem)

  • 이상운
    • 한국컴퓨터정보학회논문지
    • /
    • 제20권2호
    • /
    • pp.131-136
    • /
    • 2015
  • 화공약품 탱크 적재 문제는 다항시간으로 해를 찾을 수 있는 알고리즘이 알려져 있지 않아 NP-완전으로 분류된 난제이다. 화공약품 탱크 적재 문제는 상자 포장 문제의 일종으로, Gu$\acute{e}$ret et al.은 $O(m^4)$ 수행 복잡도의 선형계획법으로 해를 얻고자 하였다. 반면에, 본 논문에서는 최소 여유량을 가진 탱크에 적재하는 규칙인 O(m) 복잡도의 알고리즘을 제안하였다. 제안된 방법은 첫 번째로 잔여량이 있는 탱크에 해당 화공약품을 적재하였다. 다음으로, 남은 화공약품을 적재할 수 있는 최소 여유량을 가진 탱크에 해당 화공약품을 적재하였다. 실험 결과, 제안된 알고리즘은 NP-완전 문제인 화공약품 적재 문제에 대해 선형계획법의 $O(m^4)$를 O(m)으로 단축시켰다.