For courses in Cryptography, Cryptology, and Applications of Number Theory and Abstract Algebra.
This is the only undergraduate text to explain fundamental ideas of classical and modern cryptography, and provide the essential background in number theory, abstract algebra, and probability—with surveys of relevant parts of complexity theory. A level of linear algebra sophistication is assumed in the reader. A user-friendly, down-to-earth tone gives students concretely motivated introductions to all topics.
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Book Description Pearson, 2001. Paperback. Book Condition: New. book. Bookseller Inventory # 0130303690
Book Description Prentice Hall, 2000. Paperback. Book Condition: Brand New. 1st edition. 524 pages. 9.25x7.00x1.00 inches. In Stock. Bookseller Inventory # zk0130303690
Book Description Prentice Hall. Book Condition: New. Brand New. Bookseller Inventory # 0130303690
Book Description Pearson, 2001. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Introduction. 1. Simple Ciphers. The Shift Cipher. Reduction/Division Algorithm. The One-Time Pad. The Affine Cipher. 2. Probability. Counting. Basic Ideas. Statistics of English. Attack on the Affine Cipher. 3. Permutations. Cryptograms: Substitutions. Anagrams: Transpositions. Permutations. Shuffles. Block Interleavers. 4. A Serious Cipher. The Vigenere Cipher. LCMs and GCDs. Kasiski Attack. Expected Values. Friedman Attack. 5. More Probability. Generating Functions. Variance, Standard Deviation. Chebycheff's Inequality. Law of Large Numbers. 6. Modern Symmetric Ciphers. Design Goals. Data Encryption Standard. Advanced Encryption Standard. 7. The Integers. Divisibility. Unique Factorization. Euclidean Algorithm. Multiplicative Inverses. Computing Inverses. Equivalence Relations. The Integers mod m. Primitive Roots, Discrete Logs. 8. The Hill Cipher. Hill Cipher Operation. Hill Cipher Attacks. 9. Complexity. Big-Oh/Little-Oh Notation. Bit Operations. Probabilistic Algorithms. Comlexity. Subexponential Algorithms. Kolmogorov Complexity. Linear Complexity. Worst-Case versus Expected. 10. Public-Key Ciphers. Trapdoors. The RSA Cipher. Diffie-Hellman Key Exchange. ElGamal Cipher. Knapsack Ciphers. NTRU Cipher. Arithmetica Key Exchange. Quantum Cryptography. U.S. Export Regulations. 11. Prime Numbers. Euclid's Theorem. Prime Number Theorem. Primes in Sequences. Chebycheff's Theorem. Sharpest Asymptotics. Riemann Hypothesis. 12. Roots Mod p . Fermat's Little Theorem. Factoring Special Expressions. Mersenne Numbers. More Examples. Exponentiation Algorithm. Square Roots mod p. Higher Roots mod p. 13. Roots Mod Composites. Sun Ze's Theorem. Special Systems. Composite Moduli. Hensel's Lemma. Square-Root Oracles. Euler's Theorem. Facts about Primitive Roots. Euler's Criterion. 14. Weakly Multiplicativity. Weak Multiplicativity. Arithmetic Convolutions. M"bius Inversion. 15. Quadratic Reciprocity. Square Roots. Quadratic Symbols. Multiplicative Property. Quadratic Reciprocity. Fast Computation. 16. Pseudoprimes. Fermat Pseudoprimes. Non-Prime Pseudoprimes. Euler Pseudoprimes. Solovay-Strassen Test. Strong Pseudoprimes. Miller-Rabin Test. 17. Groups. Groups. Subgroups. Langrange's Theorem. Index of a Subgroup. Laws of Exponents. Cyclic Subgroups. Euler's Theorem. Exponents of Groups. 18. Sketches of Protocols. Basic Public-Key Protocol. Diffie-Hellman Key Exchange. Secret Sharing. Oblivious Transfer. Zero-Knowledge Proofs. Authentication. e-Money, e-Commerce. 19. Rings, Fields, Polynomials. Rings, Fields. Divisibility. Polynomial Rings. Euclidean Algorithm. Euclidean Rings. 20. Cyclotomic Polynomials. Characteristics. Multiple Factors. Cyclotomic Polynomials. Primitive Roots. Primitive Roots mod p. Prime Powers. Counting Primitive Roots. Non-Existence. Search Algorithm. 21. Random Number Generators. Fake One-Time Pads. Period of a pRNG. Congruential Generators. Feedback Shift Generators. Blum-Blum-Shub Generator. Naor-Reingold Generator. Periods of LCGs. Primitive Polynomials. Periods of LFSRs. Examples of Primitives. Testing for Primitivity. 22. More on Groups. Group Homomorphisms. Finite Cyclic Groups. Infinite Cyclic Groups. Roots and Powers in Groups. Square Root Algorithm. <BR. Bookseller Inventory # ABE_book_new_0130303690
Book Description Pearson, 2001. Paperback. Book Condition: New. 1. Bookseller Inventory # DADAX0130303690
Book Description Pearson, 2001. Book Condition: New. Brand new! Please provide a physical shipping address. Bookseller Inventory # 9780130303691
Book Description Pearson, 2001. Paperback. Book Condition: New. Bookseller Inventory # P110130303690
Book Description Pearson. PAPERBACK. Book Condition: New. 0130303690 New Condition. Bookseller Inventory # NEW4.0043254