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Antierror systems with interleaving
Pacher, Jakub ; Zeman, Václav (referee) ; Němec, Karel (advisor)
This work involves in anti-error coding systems with interleaving. At first is given summary of high-frequency use error correction codes. Below there are described two basic techniques of interleaving and their confrontation. The next text is focusing on survey and characteristics of codes which conform to submission. After selection of optimal system is verified its function in MATLAB environment. Final step is creation of functional application in C++ environment. This application serves to transmission of error correction BMP pictures.
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Data transmition security with general linear block codes
Dzurenda, Petr ; Tejkal, Vladimír (referee) ; Němec, Karel (advisor)
This work deals with problematic basic characteristic common linear block codes, concretely with creation generating and controlling matrix and individual ways decoding common linear block codes and then are theoretic knowledge used in the next part bachelor’s thesis. Next part this work is bent on the concrete layout of common liner block code satisfactory specifications by submission. In this part it can by find way haw create generating matrix be able to correcting tree single errors then create control matrix for decoding and correct network for correcting errors. Programs are used in this work are explained there. In the end this part is example of coding and decoding. Lastly work is realization codec. In this part is description of coder and decoder realizations. This codec is simulating by program Matlab Simulink in part five. In last part are create boards of printed circuits by program Eagle for coder and decoder.
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Anti-Error Coding Systems with Block Codes
Pacher, Jakub ; Zezula, Radek (referee) ; Němec, Karel (advisor)
This work deals with selection and proven suitable error-correcting code securing aggregating errors. First we give analysis anti-error coding system and requirements rapid/fire at them. The next text is focusing on survey and characteristics often used codes, mainly Fire, Hamming and two BCHs codes. After an explanation of Hamming code use, the text describes verification of proper function anti-error system in the MathCad enviroment.
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Projective geometry codes
Požárková, Zuzana ; Drápal, Aleš (advisor) ; Holub, Štěpán (referee)
In the presented work we define a class of error-correcting codes based on incidence vectors of projective geometries, including the necessary basis of coding theory and projective geometries. A detailed calculation is performed to show the dimension of these codes. In conclusion we concern ourselves with majority decoding. This work is a summary of the results of some known authors engaged in this field. We continue on some of these results and we present evidence of some of the statements, which have been proven differently by other authors.
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Expander codes
Calábková, Markéta ; Mareš, Martin (advisor) ; Hušek, Radek (referee)
Wherever information is transmitted we can find error-correcting codes. LDPC (low density parity check) codes are one of frequently used classes of codes and expander codes are promising members of this class. In this work, we explain what expander code are. We also show that expander codes simulta- neously have both asymptotically optimal parameters and linear-time encoding and decoding. Unfortunately, our constructions grant us codes, which are too big for regular use, for example for packet transmission. However, we believe that with better construction of expander graphs we will be able to construct short codes with significant practical applications. 1
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Projective geometry codes
Požárková, Zuzana ; Drápal, Aleš (advisor) ; Holub, Štěpán (referee)
In the presented work we define a class of error-correcting codes based on incidence vectors of projective geometries, including the necessary basis of coding theory and projective geometries. A detailed calculation is performed to show the dimension of these codes. In conclusion we concern ourselves with majority decoding. This work is a summary of the results of some known authors engaged in this field. We continue on some of these results and we present evidence of some of the statements, which have been proven differently by other authors.
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Data transmition security with general linear block codes
Dzurenda, Petr ; Tejkal, Vladimír (referee) ; Němec, Karel (advisor)
This work deals with problematic basic characteristic common linear block codes, concretely with creation generating and controlling matrix and individual ways decoding common linear block codes and then are theoretic knowledge used in the next part bachelor’s thesis. Next part this work is bent on the concrete layout of common liner block code satisfactory specifications by submission. In this part it can by find way haw create generating matrix be able to correcting tree single errors then create control matrix for decoding and correct network for correcting errors. Programs are used in this work are explained there. In the end this part is example of coding and decoding. Lastly work is realization codec. In this part is description of coder and decoder realizations. This codec is simulating by program Matlab Simulink in part five. In last part are create boards of printed circuits by program Eagle for coder and decoder.
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Anti-Error Coding Systems with Block Codes
Pacher, Jakub ; Zezula, Radek (referee) ; Němec, Karel (advisor)
This work deals with selection and proven suitable error-correcting code securing aggregating errors. First we give analysis anti-error coding system and requirements rapid/fire at them. The next text is focusing on survey and characteristics often used codes, mainly Fire, Hamming and two BCHs codes. After an explanation of Hamming code use, the text describes verification of proper function anti-error system in the MathCad enviroment.
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Antierror systems with interleaving
Pacher, Jakub ; Zeman, Václav (referee) ; Němec, Karel (advisor)
This work involves in anti-error coding systems with interleaving. At first is given summary of high-frequency use error correction codes. Below there are described two basic techniques of interleaving and their confrontation. The next text is focusing on survey and characteristics of codes which conform to submission. After selection of optimal system is verified its function in MATLAB environment. Final step is creation of functional application in C++ environment. This application serves to transmission of error correction BMP pictures.
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