• Title/Summary/Keyword: bent sequences

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New Constructions of p-ary Bent Sequences (새로운 p진 Bent 수열의 생성)

  • 김영식;장지웅;노종선
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.10C
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    • pp.930-935
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    • 2003
  • In this paper, using bent functions defined [n the finite field we generalized the construction method of the family of p-ary bent sequences with balanced and optimal correlation property introduced by Kumar and Moreno for an odd prime p[3], called a generalized p-ary bent sequence. It turns out that the family of balanced p-ary sequences with optimal correlation property introduced by Moriuchi and Imamura [6] is a special case of the generalized p-ary bent sequences.

Generalized Binary Bent Sequences (일반화된 이진 Bent 시퀀스)

  • Gil, Gang-Mi;No, Jong-Seon;Shin, Dong-Joon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.1A
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    • pp.35-41
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    • 2002
  • In this paper, we generalize the family of binary bent sequences introduced by Olsen, Scholtz and Welch [2] to obtain the generalized binary bent sequences with optimal correlation and balance properties. The modified trace transform is introduced and it enables us to use linear function from ${F_{2^n}}$ to the intermediate field ${F_{2^e}}$, where e|n. If we choose e=1, our method becomes the conventional binary bent sequence case. Also, some examples are given which show that our construction gives the family of simple binary sequences with optimal correlation and balance properties.

On p-ary Bent Functions Defined on Finite Fields (유한체 상에서 정의된 p진 Bent 함수)

  • 김영식;장지웅;노종선
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.6C
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    • pp.763-769
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    • 2004
  • It is known that a bent function corresponds to a perfect nonlinear function, which makes it difficult to do the differential cryptanalysis in DES and in many other block ciphers. In this paper, for an odd prime p, quadratic p-ary bent functions defined on finite fields are given from the families of p-ary sequences with optimal correlation properly. And quadratic p-ary bent functions, that is, perfect nonlinear functions from the finite field F $_{p^{m}}$ to its prime field $F_{p}$ are constructed by using the trace functions. trace functions.

A Study on the generation and characteristics of Bent codes for Code Division Multiple Access Communication System (부호분할 다중통신 시스템을 위한 Bent 부호발생 및 특성에 관한 연구)

  • 이정재;최삼길;한영열
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.14 no.2
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    • pp.137-145
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    • 1989
  • In this paper we consider the design of bent sequence generators employing a modified bent function. Through the experimental results and simulation, we show that the period of sequences is $2^n$-1, the number of sequences in the set is $2n/2$, the largest magnitude of correlation is $2n/2$+1, and the sequence generators easy to randomly initialize into any assigned code and hence can be rapidly hopped from sequence to sequence. And we construct a code synchronization system with bent sequence generator as the local code generator, a sliding correlator and DLL as the acquisition subsystem and the tracking subsystem, respectively for DS-CODA, and verify the experimenta results for accomplishing code synchronism.

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A Study on the Generating Algorithm and the Correlation Function of Kumar Code Sequences for the Frequency Hopping Patterns (주파수 경로 패턴을 위한 Kumar 부호계열 발생 알고리즘 및 상관함수 특성에 관한 연구)

  • 이정재;한영렬
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.12
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    • pp.1886-1902
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    • 1989
  • In this paper we discuss the generating algorithm of Kumar code sequences which are based on generalized bent sequences for FH-CDMA. The code sequence generator was constructed for the shift register stages n=4 over GF (5). Finally we analyze the characteristics fo Hamming correlation between two code sequences and the time-frequency correlatins of the complete waveform with the sinusoidal chips as the elemental waveforms.

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Design and Analysis of Code Sequence Generating Algorithms using Almost Perfect Nonlinear Functions (APN 함수를 이용한 부호계열 발생 알고리즘 설계 빛 분석)

  • Lee, Jeong-Jae
    • Journal of the Institute of Convergence Signal Processing
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    • v.11 no.1
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    • pp.47-52
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    • 2010
  • For cryptographic systems, nonlinearity is crucial since most linear systems are easily decipherable. C.Bracken, Z.Zhaetc., propose the APN(Almost Perfect Nonlinear) functions with the properties similar to those of the bent functions with perfect nonlinearity. We design two kinds of new code sequence generating algorithms using the above APN functions. And we find that the out of phase ${\tau}\;{\neq}\;0$, autocorrelation functions, $R_{ii}(\tau)$ and the crosscorrelation functions, $R_{ik}(\tau)$ of the binary code sequences generated by two new algorithms over GF(2), have three values of {-1, $-1-2^{n/2}$, $-1+2^{n/2}$}. We also find that the out of phase ${\tau}\;{\neq}\;0$, autocorrelation functions, $R_{p,ii}(\tau)$ and the crosscorrelation functions, $R_{p,ik}(\tau)$ of the nonbinary code sequences generated by the modified algorithms over GF(p), $p\;{\geq}\;3$, have also three values of {$-1+p^{n-1}$, $-1-p^{(n-1)/2}+p^{n-1}$, $-1+p^{(n-1)/2}p^{n-1}$}. We show that these code sequences have the characteristics of the correlation functions similar to those of Gold code sequences.

Extended Quasi Orthogonal Functions for 3G CDMA Systems (3G CDMA 시스템을 위한 확장 준직교 함수)

  • Lee Kwang-Jae;Moon Myung-Ryong;Hou Jia;Lee Moon-Ho
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.7 s.98
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    • pp.697-708
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    • 2005
  • The forward link of the 3G CDMA system may become limited under the increasing of the number of users. The conventional channelization code, Walsh code, has not enough sizes f3r much possible users, therefore, the quasi orthogonal function(QOF), which process optimal crosscorrelation with Walsh code, is considered. In this paper, we investigate quasi orthogonal function on Jacket matrices, which can lead lower correlations values and better performance in 3G CDMA system. Moreover, to simplify the detector and improve the BER performance, a novel detection for QOF CDMA system is proposed. Finally, the simple recursive generation of the bent sequences for QOF mask function is discussed.

Cooperative Diversity MIMO System for m with 8 Transmit Antennas (8개 송신 안테나 UWB를 위한 협동 다이버시티 MIMO 시스템)

  • Lee Kwang-Jae;Hou Jia;Lee Moon-Ho;Cho Sam-Goo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.7 s.98
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    • pp.709-719
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    • 2005
  • The forward link of the 3 G CDMA system may become limited under the increasing of the number of users. The conventional channelization code, Walsh code, has not enough sizes for much possible non, therefore, the quasi orthogonal function(QOF), which process optimal cross-correlation with Walsh code, is considered. In this paper, we investigate quasi orthogonal function on Jacket matrices, which can lead lower correlations values and better performance in 3 G CDMA system. Moreover, to simple the detector and improve the BER performance, a novel detection for QOF CDMA system is proposed. Finally, the simple recursive generation of the bent sequences for QOF mask function is discussed.

Endovaginal and Endorectal Surface Coils for in-ViVo Human MR Imaging and Spectroscopy (자궁경부암 진단용 MR 질내표면코일과 전립선암 진단용 MR 경직장표면코일의 제작 : 인체에서의 MR 영상과 MR 분광)

  • 문치웅;조경식
    • Journal of Biomedical Engineering Research
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    • v.16 no.4
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    • pp.481-491
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    • 1995
  • Endovaginal and endorectal receiver only surface coils were designed for MR imaging (MRI) and $^1H$ MR spectroscopy (MRS) for the uterine cervix and the prostate. The shape of endovaginal coil wire was rectangular with round corner. Size of the coil wire was empirically determined for 7cm and 4cm along the long and short axis, respectively. The coil wire loop was supported by acryl handle and bent about $150^{\circ}$ at one side of the loop considering the average angle of the cervix to the vagina. We called this as a "spoon-type endovaginal coil". The wire of the endorectal coil was made of the flexible materials so that the wire loop became long elliptic shape by pushing the acryl handle into the plastic tube for the comfort of patients when the coil was inserted into the cervix. Then, the shape was maintained to be circle by popping out handle. Conventional spin echo (SE) and fast spin echo (FSE) sequences were used as 71 and 72 weighted imaging sequences, respectively. Matrix size was 128~$256{\times}256$. FOVs for surface coil and body coil were 14cm and 24cm, respectively. 3D volume localized in vivo $^1H$ MR spectroscopy of the human cervix and prostate was performed using PRESS or STEAM localization method with the following parameters . TR=3 sec, TE=135 msec for PRESS or 30 msec for STEAM, NEX=2, NS=48, Sl=2048, and SW=2500 Hz. Using home-built endovaginal and endorectal coils, excellent T1- and T2-images were obtained to visualize early cervical and prostate tumors. 3D volume localized in vivo IH MRS was useful to differentiate the cancerous tissue from the normal tissue.

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COMPARATIVE ACCURACY OF THE SPLINTED AND UNSPLINTED IMPRESSION METHODS FOR INTERNAL CONNECTION

  • Choi, Jung-Han;Kim, Chang-Whe;Jang, Kyung-Soo;Lim, Young-Jin
    • The Journal of Korean Academy of Prosthodontics
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    • v.43 no.3
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    • pp.352-362
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    • 2005
  • Statement of problem. Accurate impression is essential to success of implant prostheses. But there have been few studies about the accuracy of fixture-level impression techniques in internal connection implant systems. Purpose. The purpose of this study was to compare the accuracy of two fixture-level impression techniques in two conditions (parallel and divergent) and to assess the effect of tightening sequences and forces on stresses generated on superstructures in internal connection implant system (Astra Tech). Material and methods. Two metal master frameworks made from two abutments (Cast-to Abutment ST) each and a corresponding, passively fitting, dental stone master cast with four fixture replicas (Fixture Replica ST) were fabricated. Ten dental stone casts for each impression techniques (direct unsplinted & splinted technique) were made with vinyl polysiloxane impressions from the master cast. Strain gauges for each framework were fixed midway between abutments to measure the degree of framework deformation on each stone cast. Pairs of strain gauges placed opposite each other constituted one channel (half Wheatstone bridge) to read deformation in four directions (superior, inferior, anterior, and posterior). Deformation data were analyzed using one-way ANOVA and the Tukey test at the .01 level of significance. And the effect of tightening sequences (right-to-left and left-to-right) and forces (10 Ncm and 20 Ncm) were assessed with ten stone casts made from parallel condition by the splinted technique. Deformation data were analyzed using paired t-test at the .01 level of significance. Conclusions. Within the limitations of this study, the following conclusions could be drawn. 1. Frameworks bent toward the inferior side on all casts made by both direct unsplinted and splinted impression techniques in both parallel and divergent conditions. 2. There was no statistically significant difference of accuracy between the direct unsplinted and splinted impression techniques in both parallel and divergent conditions (P>.01). 3. There was no statistically significant difference of stress according to screw tightening sequences in casts made by the splinted impression technique in parallel condition (P>.01). 4. Greater tightening force resulted in greater stress in casts made by the splinted impression technique in parallel condition (P<.01).