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Papers by Robert Morelos-Zaragoza

Research paper thumbnail of A Trade-Off Analysis of Energy Detectors and Partitioned Search for Primary Detection

Research paper thumbnail of Binary Cyclic Codes and BCH Codes

John Wiley & Sons, Ltd eBooks, Oct 20, 2006

Research paper thumbnail of Combining Codes and Digital Modulation

John Wiley & Sons, Ltd eBooks, Oct 20, 2006

Research paper thumbnail of On iterative decoding of two-level superposition codes for cooperative broadcasting based on QPSK and 4-PAM constellations

Research paper thumbnail of A note on repeated-root cyclic codes

IEEE Transactions on Information Theory, 1991

Research paper thumbnail of Design of a viterbi decoder with microprocessor-based serial implementation

Springer eBooks, Jan 25, 2006

The purpose of this paper is to present the design of a Viterbi decoder, for moderate data transm... more The purpose of this paper is to present the design of a Viterbi decoder, for moderate data transmission rates (hundreds of bits/sec), using a serial implementation based on a 16/32-bit microprocessor.

Research paper thumbnail of Appendix A: Weight Distributions of Extended BCH Codes

John Wiley & Sons, Ltd eBooks, Oct 20, 2006

Research paper thumbnail of Modifying and Combining Codes

John Wiley & Sons, Ltd eBooks, Oct 20, 2006

Research paper thumbnail of New Methods for Computing the Weight Distribution of a Linear Block Code Based on Its Trellis Structure

International Symposium on Information Theory and its Applications, 1994

Abstract: Let Cex(n, k, d) (or simply Cex(n, k)) denote the extended code of an (n, k) binary pri... more Abstract: Let Cex(n, k, d) (or simply Cex(n, k)) denote the extended code of an (n, k) binary primitive BCH code with designed distance d. We have proposed a method for computing the number of codewords of weight less than or equal to a given integer in a block code by using its ...

Research paper thumbnail of A software defined radio platform with direct conversion: SOPRANO

Research paper thumbnail of The Art of Error Correcting Coding

Research paper thumbnail of Automatic Transmit Power Control of a Digital Fixed Wireless Link with Co-Channel Interference

Research paper thumbnail of Hamming, Golay and Reed-Muller Codes

John Wiley & Sons, Ltd eBooks, Oct 20, 2006

Research paper thumbnail of Nonbinary BCH Codes: Reed-Solomon Codes

John Wiley & Sons, Ltd eBooks, Oct 20, 2006

Research paper thumbnail of An Application of the Power Residue Symbol for Generating Multi-value Sequences over Odd Characteristic Fields

ITC-CSCC :International Technical Conference on Circuits Systems, Computers and Communications, Jun 1, 2015

Research paper thumbnail of Well Balanced Multi-value Sequence and its Properties Over Odd Characteristic Field

Advances in Science, Technology and Engineering Systems Journal, 2019

Research paper thumbnail of A new approach for generating well balanced Pseudo-random signed binary sequence over odd characteristic field

In our previous work, pseudo random binary sequence generated by using trace function, Legendre s... more In our previous work, pseudo random binary sequence generated by using trace function, Legendre symbol and mapping function has been researched. Our previous sequence generated by applying primitive polynomial over odd characteristics field Fp, trace function, and Legendre symbol. The previous sequence contained only 0 and 1 values. It has some interesting features such as period, periodic autocorrelation, and linear complexity. However, it has a major drawback also that is the appearance of 0 and 1 are inconsistent in each period. For this reason, in the periodic autocorrelation graph except the peak values other parts always consists some values and that is not 0. When we apply this type of binary sequence in any security applications, it will lead some security vulnerabilities. In this paper, the authors have proposed a new approach to generate pseudo random signed binary sequence. An important point about our proposed sequence is, it overcomes the drawback of our previous work. Our proposed sequence includes 0,1, and −1 values. Its features, such as the period and periodic autocorrelation are also explained in this paper. According to the results, this has interesting feature such as the appearance of 0, 1 and − 1 are identical in each period.

Research paper thumbnail of Examining the Linear Complexity of Multi-Value Sequence Generated by Power Residue Symbol

In our previous work, k-value pseudo random sequence generated by power residue symbol has been r... more In our previous work, k-value pseudo random sequence generated by power residue symbol has been researched. The sequence is generated by applying a primitive polynomial over odd characteristics field, trace function, and power residue symbol. The sequence has some important features such as period, periodic autocorrelation, and linear complexity. In this paper, by applying an additional process to the previous procedure, an extended multi-value sequence is generated. Its features, such as the period, periodic autocorrelation, periodic crosscorrelation, and linear complexity are examined in this paper. According to the results, the new sequence also has some interesting features.

Research paper thumbnail of A Consideration on Crosscorrelation of a Kind of Trace Sequences over Finite Field

In our previous work, the k-value pseudo random sequence generated by power residue symbol has be... more In our previous work, the k-value pseudo random sequence generated by power residue symbol has been researched. The sequence is generated by applying a primitive polynomial over odd characteristics field, trace function, and power residue symbol. And the sequence has some interesting features such as period, periodic autocorrelation, and linear complexity. In this paper, by applying a new step into the process of generating sequence, a new generating method of k-value sequence is derived. As with the previous work, it also has some interesting features such as period, periodic autocorrelation, and periodic crosscorrelation. From the experimental results, these features are examined.

Research paper thumbnail of Multi-Value Sequence Generated over Sub Extension Field and Its Properties

Journal of information security, 2019

Research paper thumbnail of A Trade-Off Analysis of Energy Detectors and Partitioned Search for Primary Detection

Research paper thumbnail of Binary Cyclic Codes and BCH Codes

John Wiley & Sons, Ltd eBooks, Oct 20, 2006

Research paper thumbnail of Combining Codes and Digital Modulation

John Wiley & Sons, Ltd eBooks, Oct 20, 2006

Research paper thumbnail of On iterative decoding of two-level superposition codes for cooperative broadcasting based on QPSK and 4-PAM constellations

Research paper thumbnail of A note on repeated-root cyclic codes

IEEE Transactions on Information Theory, 1991

Research paper thumbnail of Design of a viterbi decoder with microprocessor-based serial implementation

Springer eBooks, Jan 25, 2006

The purpose of this paper is to present the design of a Viterbi decoder, for moderate data transm... more The purpose of this paper is to present the design of a Viterbi decoder, for moderate data transmission rates (hundreds of bits/sec), using a serial implementation based on a 16/32-bit microprocessor.

Research paper thumbnail of Appendix A: Weight Distributions of Extended BCH Codes

John Wiley & Sons, Ltd eBooks, Oct 20, 2006

Research paper thumbnail of Modifying and Combining Codes

John Wiley & Sons, Ltd eBooks, Oct 20, 2006

Research paper thumbnail of New Methods for Computing the Weight Distribution of a Linear Block Code Based on Its Trellis Structure

International Symposium on Information Theory and its Applications, 1994

Abstract: Let Cex(n, k, d) (or simply Cex(n, k)) denote the extended code of an (n, k) binary pri... more Abstract: Let Cex(n, k, d) (or simply Cex(n, k)) denote the extended code of an (n, k) binary primitive BCH code with designed distance d. We have proposed a method for computing the number of codewords of weight less than or equal to a given integer in a block code by using its ...

Research paper thumbnail of A software defined radio platform with direct conversion: SOPRANO

Research paper thumbnail of The Art of Error Correcting Coding

Research paper thumbnail of Automatic Transmit Power Control of a Digital Fixed Wireless Link with Co-Channel Interference

Research paper thumbnail of Hamming, Golay and Reed-Muller Codes

John Wiley & Sons, Ltd eBooks, Oct 20, 2006

Research paper thumbnail of Nonbinary BCH Codes: Reed-Solomon Codes

John Wiley & Sons, Ltd eBooks, Oct 20, 2006

Research paper thumbnail of An Application of the Power Residue Symbol for Generating Multi-value Sequences over Odd Characteristic Fields

ITC-CSCC :International Technical Conference on Circuits Systems, Computers and Communications, Jun 1, 2015

Research paper thumbnail of Well Balanced Multi-value Sequence and its Properties Over Odd Characteristic Field

Advances in Science, Technology and Engineering Systems Journal, 2019

Research paper thumbnail of A new approach for generating well balanced Pseudo-random signed binary sequence over odd characteristic field

In our previous work, pseudo random binary sequence generated by using trace function, Legendre s... more In our previous work, pseudo random binary sequence generated by using trace function, Legendre symbol and mapping function has been researched. Our previous sequence generated by applying primitive polynomial over odd characteristics field Fp, trace function, and Legendre symbol. The previous sequence contained only 0 and 1 values. It has some interesting features such as period, periodic autocorrelation, and linear complexity. However, it has a major drawback also that is the appearance of 0 and 1 are inconsistent in each period. For this reason, in the periodic autocorrelation graph except the peak values other parts always consists some values and that is not 0. When we apply this type of binary sequence in any security applications, it will lead some security vulnerabilities. In this paper, the authors have proposed a new approach to generate pseudo random signed binary sequence. An important point about our proposed sequence is, it overcomes the drawback of our previous work. Our proposed sequence includes 0,1, and −1 values. Its features, such as the period and periodic autocorrelation are also explained in this paper. According to the results, this has interesting feature such as the appearance of 0, 1 and − 1 are identical in each period.

Research paper thumbnail of Examining the Linear Complexity of Multi-Value Sequence Generated by Power Residue Symbol

In our previous work, k-value pseudo random sequence generated by power residue symbol has been r... more In our previous work, k-value pseudo random sequence generated by power residue symbol has been researched. The sequence is generated by applying a primitive polynomial over odd characteristics field, trace function, and power residue symbol. The sequence has some important features such as period, periodic autocorrelation, and linear complexity. In this paper, by applying an additional process to the previous procedure, an extended multi-value sequence is generated. Its features, such as the period, periodic autocorrelation, periodic crosscorrelation, and linear complexity are examined in this paper. According to the results, the new sequence also has some interesting features.

Research paper thumbnail of A Consideration on Crosscorrelation of a Kind of Trace Sequences over Finite Field

In our previous work, the k-value pseudo random sequence generated by power residue symbol has be... more In our previous work, the k-value pseudo random sequence generated by power residue symbol has been researched. The sequence is generated by applying a primitive polynomial over odd characteristics field, trace function, and power residue symbol. And the sequence has some interesting features such as period, periodic autocorrelation, and linear complexity. In this paper, by applying a new step into the process of generating sequence, a new generating method of k-value sequence is derived. As with the previous work, it also has some interesting features such as period, periodic autocorrelation, and periodic crosscorrelation. From the experimental results, these features are examined.

Research paper thumbnail of Multi-Value Sequence Generated over Sub Extension Field and Its Properties

Journal of information security, 2019