Applied abstract algebra with Maple and MATLAB. (2015)

• Record Type: Book
• Further Information: Note: Richard Klima, Neil P. Sigmon, Ernest Stitzinger.
• Authors: Klima, Richard E; Sigmon, Neil; Stitzinger, Ernest
• Contents: Preliminary Mathematics; Permutation Groups; Cosets and Quotient Groups; Rings and Euclidean Domains; Finite Fields; Finite Fields with Maple; Finite Fields with MATLAB; The Euclidean Algorithm; Exercises; ; Block Designs; General Properties; Hadamard Matrices; Hadamard Matrices with Maple; Hadamard Matrices with MATLAB; Difference Sets; Difference Sets with Maple; Difference Sets with MATLAB; Exercises; ; Error-Correcting Codes; General Properties; Hadamard Codes; Reed-Muller Codes; Reed-Muller Codes with Maple; Reed-Muller Codes with MATLAB; Linear Codes; Hamming Codes with Maple; Hamming Codes with MATLAB; Exercises; ; BCH Codes; Construction; Error Correction; BCH Codes with Maple; BCH Codes with MATLAB; Exercises; ; Reed-Solomon Codes; Construction; Error Correction; Error Correction Method Proof; Reed-Solomon Codes with Maple; Reed-Solomon Codes with MATLAB; Reed-Solomon Codes in Voyager 2; Exercises; ; Algebraic Cryptography ; Two Elementary Cryptosystems; Shift and Affine Ciphers with Maple; Shift and Affine Ciphers with MATLAB; Hill Ciphers; Hill Ciphers with Maple; Hill Ciphers with MATLAB; The Two-Message Problem; Exercises; ; Vigenère Ciphers; Encryption and Decryption; Cryptanalysis; Vigenère Ciphers with Maple; Vigenère Ciphers with MATLAB; Exercises; ; RSA Ciphers; Preliminary Mathematics; Encryption and Decryption; RSA Ciphers with Maple; RSA Ciphers with MATLAB; Efficiency and Security Issues; The Diffie-Hellman Key Exchange with RSA; Discrete Logarithms with Maple; Discrete Logarithms with MATLAB; Exercises; ; Elliptic Curve Cryptography; ElGamal Ciphers; ElGamal Ciphers with Maple; ElGamal Ciphers with MATLAB; Elliptic Curves; Elliptic Curves with Maple; Elliptic Curves with MATLAB; Elliptic Curve Cryptography; Elliptic Curve Cryptography with Maple; Elliptic Curve Cryptography with MATLAB; Exercises; ; The Advanced Encryption Standard; Text Setup; The S-Box; Key Generation; Encryption; The AES Layers; Decryption; AES with Maple; AES with MATLAB; Exercises; ; Pólya Theory; Group Actions; Burnside’s Theorem; The Cycle Index; The Pattern Inventory; The Pattern Inventory with Maple; The Pattern Inventory with MATLAB; Switching Functions; Exercises; ; Graph Theory; The Cycle Index of Sn ; The Cycle Index of Sn with Maple; The Cycle Index of Sn with MATLAB; Counting Undirected Graphs; Counting Undirected Graphs with Maple; Counting Undirected Graphs with MATLAB; Exercises; ; Symmetry in Western Music; Introduction; Group Actions and Scales; Group Actions and Chords; Group Actions and Chords with Maple; Group Actions and Chords with MATLAB; Cayley Graphs for Z12; Twelve-Tone Rows; Twelve-Tone Rows with Maple; Twelve-Tone Rows with MATLAB; Exercises; ; Bibliography;
• Edition: Third edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2015
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 512.02; Algebra, Abstract -- Data processing; Numerical analysis -- Computer programs
• Languages: English
• ISBNs: 9781482248289; 9781482248258; 9781482248272
• Related ISBNs: 9781482248234
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.