Super Special Codes Using Super Matrices by W.B.Vasantha Kandasamy, Florentin Smarandache
About this book :-
"Super Special Codes Using Super Matrices" by W. B. Vasantha Kandasamy and Florentin Smarandache is a research-oriented mathematics book that presents innovative ideas in "Coding Theory" using advanced algebraic structures known as "Super Matrices". The book goes beyond classical linear algebra and traditional coding methods, aiming to develop new theoretical models for constructing and analyzing codes in complex information systems.
The authors introduce super matrices and "Super Vector Spaces", then use these structures to define new categories of codes called "Super Special Codes". These include super special row codes and column codes, which are studied through rigorous definitions, examples, and theoretical properties. The approach emphasizes abstraction, structure, and logical development, making the text suitable for readers with a strong background in algebra and matrix theory.
In its later sections, the book discusses possible applications of these codes in areas such as "Information Theory", cryptography, large-scale data transmission, and environments where retransmission of data is inefficient or impossible. Overall, the book serves as a specialized reference for researchers, graduate students, and academics interested in exploring nontraditional algebraic frameworks and expanding the mathematical foundations of modern coding systems.
Book Detail :-
Title:
Super Special Codes Using Super Matrices by W.B.Vasantha Kandasamy, Florentin Smarandache
Publisher:
Svenska fysikarkivet
Year:
2010
Pages:
161
Type:
PDF
Language:
English
ISBN-10 #:
B003TXSJRG
ISBN-13 #:
N/A
License:
CC
Amazon:
Amazon
About Author :-
The author
W. B. Vasantha Kandasamy
is a senior mathematician and researcher with extensive work in "Abstract Algebra", "Coding Theory", and advanced matrix structures. She has authored and co-authored many research books and papers, focusing on developing new mathematical frameworks and theoretical models with strong academic depth. "Florentin Smarandache" is a prolific mathematician and professor known for his contributions to "Linear Algebra", "Information Theory", and generalized mathematical systems. As a co-author of "Super Special Codes Using Super Matrices", he brings strong expertise in innovative algebraic concepts, collaborating on research that expands traditional coding methods through "Super Matrices" and advanced mathematical theory.
Book Contents :-
1. INTRODUCTION TO SUPERMATRICES AND LINEAR CODES
1.1 Introduction to Supermatrices
1.2 Introduction to Linear Codes and their Properties
2. SUPER SPECIAL VECTOR SPACES
3. SUPER SPECIAL CODES
3.1 Super Special Row Codes
3.2 New Classes of Super Special Column Codes
3.3 New Classes of Super Special Codes
4. APPLICATIONS OF THESE NEW CLASSES OF SUPER SPECIAL CODES
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