• Title/Summary/Keyword: parity

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Design of Quasi-Cyclic Low-Density Parity Check Codes with Large Girth

  • Jing, Long-Jiang;Lin, Jing-Li;Zhu, Wei-Le
    • ETRI Journal
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    • v.29 no.3
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    • pp.381-389
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    • 2007
  • In this paper we propose a graph-theoretic method based on linear congruence for constructing low-density parity check (LDPC) codes. In this method, we design a connection graph with three kinds of special paths to ensure that the Tanner graph of the parity check matrix mapped from the connection graph is without short cycles. The new construction method results in a class of (3, ${\rho}$)-regular quasi-cyclic LDPC codes with a girth of 12. Based on the structure of the parity check matrix, the lower bound on the minimum distance of the codes is found. The simulation studies of several proposed LDPC codes demonstrate powerful bit-error-rate performance with iterative decoding in additive white Gaussian noise channels.

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An Efficient Error Detection Technique for 3D Bit-Partitioned SRAM Devices

  • Yoon, Heung Sun;Park, Jong Kang;Kim, Jong Tae
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.15 no.5
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    • pp.445-454
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    • 2015
  • As the feature sizes and the operating charges continue to be scaled down, multi-bit soft errors are becoming more critical in SRAM designs of a few nanometers. In this paper, we propose an efficient error detection technique to reduce the size of parity bits by applying a 2D bit-interleaving technique to 3D bit-partitioned SRAM devices. Our proposed bit-interleaving technique uses only 1/K (where K is the number of dies) parity bits, compared with conventional bit-interleaving structures. Our simulation results show that 1/K parity bits are needed with only a 0.024-0.036% detection error increased over that of the existing bit-interleaving method. It is also possible for our technique to improve the burst error coverage, by adding more parity bits.

Construction of Multiple-Rate Quasi-Cyclic LDPC Codes via the Hyperplane Decomposing

  • Jiang, Xueqin;Yan, Yier;Lee, Moon-Ho
    • Journal of Communications and Networks
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    • v.13 no.3
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    • pp.205-210
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    • 2011
  • This paper presents an approach to the construction of multiple-rate quasi-cyclic low-density parity-check (LDPC) codes. Parity-check matrices of the proposed codes consist of $q{\times}q$ square submatrices. The block rows and block columns of the parity-check matrix correspond to the hyperplanes (${\mu}$-fiats) and points in Euclidean geometries, respectively. By decomposing the ${\mu}$-fiats, we obtain LDPC codes of different code rates and a constant code length. The code performance is investigated in term of the bit error rate and compared with those of LDPC codes given in IEEE standards. Simulation results show that our codes perform very well and have low error floors over the additive white Gaussian noise channel.

Development of the Discrete-Ordinates, Nodal Transport Methods Using the Simplified Even-Parity Neutron Transport Equation

  • Noh, Taewan
    • Nuclear Engineering and Technology
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    • v.32 no.6
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    • pp.605-617
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    • 2000
  • Nodal transport methods are studied for the solution of two dimensional discrete-ordinates, simplified even-parity transport equation(SEP) which is known to be an approximation to the true transport equation. The polynomial expansion nodal method(PEN) and the analytic function expansion nodal method(AFEN)which have been developed for the diffusion theory are used for the solution of the discrete-ordinates form of SEP equation. Our study shows that while the PEN method in diffusion theory can directly be converted without complication, the AFEN method requires a theoretical modification due to the nonhomogeneous property of the transport equation. The numerical results show that the proposed two methods work well with the SEP transport equation with higher accuracies compared with the conventional finite difference method.

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The Economic Evaluation of Renewable Energy Penetration Based on Grid Parity According to the Ratio of DC Power Supply (Grid Parity를 고려한 DC 전원 공급율에 따른 신재생에너지 계통 연계의 경제성 평가)

  • Kim, Sung-Yul;Lee, Sung-Hun;Kim, Jin-O
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.1
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    • pp.16-21
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    • 2012
  • The growth in IT industry has brought a corresponding rise in the number of connected digital devices in the distribution network. These digital loads lead to AC to DC conversion losses in order to supply power to them. The more the renewable energies and plug-in electrical vehicles penetrated our lives, the more the electrical losses are caused by AC to DC conversion process. Hence, this paper suggests the methodology for evaluating the amount of power supplied according to the ratio of DC power supply and performs an economic analysis of DC distribution system considering grid parity. In here, the cost of carbon emission reduced by renewable energy is also concerned.

Problems of Gender Parity in the State Administration System: Conceptual and Empirical Aspects

  • Kireieva, Zoia;Sardaryan, Karinna;Voytsekhovska, Yuliya;Britchenko, Igor;Samoilenko, Viktoria;Popova, Yuliia
    • International Journal of Computer Science & Network Security
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    • v.22 no.2
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    • pp.369-375
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    • 2022
  • The article is timed to coincide with the thirtieth anniversary of Ukraine's independence. Based on the generalization of fundamental and applied studies of scientists, the author's vision of such category as the gender parity is conceptualized. Based on the analysis of historical events related to the development of the state, the formation of cultural and social values in determining the gender identity of modern society is substantiated. Based on the analysis of literary and regulatory sources, the structure of the state administration of Ukraine is visualized, which has become the basis for the diagnosis of gender aspects. Based on the analysis, the problems of gender parity in the public administration system of Ukraine are identified.

ON THE OPTION PRICES OF EUROPEAN ASIAN ARITHMETICAL OPTION

  • Choi, Won
    • Journal of applied mathematics & informatics
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    • v.7 no.2
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    • pp.597-603
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    • 2000
  • In this paper, we deal with the European Asian Arithmetical option and find the unique rational price associated with option and Asian arithmetical call-put parity.

Association Analysis between Five Microsatellite Loci and Litter Size in Small Tail Han Sheep

  • Chu, M.X.;Wang, J.Z.;Wang, A.G.;Li, N.;Fu, J.L.
    • Asian-Australasian Journal of Animal Sciences
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    • v.16 no.11
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    • pp.1555-1559
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    • 2003
  • The objective of the present study was to explore associations between five microsatellites linked to $Fec^B$ and $FecX^I$ genes and litter size in Small Tail Han sheep. The polymorphisms of five microsatellite loci, OarAE101, BM1329, BMS2508, TGLA54 and TGLA68 were detected in 244 ewes of Small Tail Han sheep. Analysis of association between three microsatellite loci (BMS2508, BM1329 and OarAE101) located in the 10 cM region covering the $Fec^B$ gene (Booroola gene) and litter size in Small Tail Han sheep indicated that BMS2508 had significant effect on litter size in the second parity (p<0.05), but no significant effect on litter size in the first parity (p>0.05), while the other two microsatellite loci had no significant effect on litter size in both the first and the second parity in Small Tail Han sheep (p>0.05). At microsatellite locus BMS2508, least squares means in the second parity of genotypes 101/111 and 99/109 were significantly higher than those of genotypes 99/99, 99/101, 99/111 and 99/115 (p<0.05); least squares mean in the second parity of genotype 101/111 was significantly higher than that of genotypes 109/111 and 111/111 (p<0.05). Results of this study also indicated that two microsatellite loci (TGLA54 and TGLA68) that confined the 28.7 cM region covering the $FecX^I$ gene (Inverdale gene) did not affect litter size in both the first and the second parity in Small Tail Han sheep significantly (p>0.05). The information found in the present study is very important for improving the reproductive performance in sheep breeds by marker assisted selection.

Design of an Efficient LDPC Codec for Hardware Implementation (하드웨어 구현에 적합한 효율적인 LDPC 코덱의 설계)

  • Lee Chan-Ho;Park Jae-Geun
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.43 no.7 s.349
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    • pp.50-57
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    • 2006
  • Low-density parity-check (LDPC) codes are recently emerged due to its excellent performance. However, the parity check (H) matrices of the previous works are not adequate for hardware implementation of encoders or decoders. This paper proposes a hybrid parity check matrix which is efficient in hardware implementation of both decoders and encoders. The hybrid H-matrices are constructed so that both the semi-random technique and the partly parallel structure can be applied to design encoders and decoders. Using the proposed methods, the implementation of encoders can become practical while keeping the hardware complexity of the partly parallel decoder structures. An encoder and a decoder are designed using Verilog-HDL and compared with the previous results.

Determination of Factors that Affect the Pregnancy Rate of Cows after Artificial Insemination at Monirampur Upazila of Jessore District of Bangladesh

  • Hossain, D.M. Nazmul;Talukder, Milton;Begum, Most. Kulsum;Paul, Ashit Kumar
    • Journal of Embryo Transfer
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    • v.31 no.4
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    • pp.349-353
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    • 2016
  • This study was carried out to evaluate the influencing factors that affect the reproductive performance of cows at the Monirampur upazila in Jessore district of Bangladesh. A total of 224 cows were brought to the upazila livestock hospital for artificial insemination (AI). The cows were inseminated between 12 to 18 hours from the onset of estrus and data was obtained from the owner. Out of 224 cows, 133 became pregnant and 91 were non pregnant. In this study, the overall pregnancy rate was 59.29%. Among the age variability, the highest pregnancy rate (70.27%) was at the age of 4 years old. In case of breed variation, the highest pregnancy rate was observed in local breed (69.07%) compared with other crossbred cows. Hence the breed variations significantly influence the conception rate of cows. According to the parity, we found that the pregnancy rate was increasing with their parity but decreasing after 4th parity. The highest conception rate was observed in 3rd parity (67.74%) which was significantly higher than that of heifers (Parity-0). Here we also found that the types of bull semen used for AI had no significant effect for pregnancy rate. The skills of AI technician for AI to cows were significantly affecting the pregnancy rate. However, this study is not enough for rating and comment about the reproduction performance of cows. Therefore, further extensive study is needed for rating and recommendation for the cattle up gradation at that particular area.