Sl.No | Chapter Name | MP4 Download |
---|---|---|
1 | Lecture 1: Introduction: Computation and Algebra | Download |
2 | Lecture 2: Background | Download |
3 | Lecture 3: GCD algorithm and Chinese Remainder Theorem | Download |
4 | Lecture 4: Fast polynomial multiplication | Download |
5 | Lecture 5: Fast polynomial multiplication (contd.) | Download |
6 | Lecture 6: Fast integer multiplication and division | Download |
7 | Lecture 7: Fast integer arithmetic and matrix multiplication | Download |
8 | Lecture 8: Matrix Multiplication Tensor. | Download |
9 | Polynomial factoring over finite fields: Irreducibility testing | Download |
10 | Equi-degree factorization and idea of Berlekamp's algorithm | Download |
11 | Lecture 11: Berlekamp's algorithm as a reduction method | Download |
12 | Lecture 12: Factoring over finite fields: Cantor-Zassenhaus algorithm | Download |
13 | Lecture 13: Reed Solomon Error Correcting Codes | Download |
14 | Lecture 14: List Decoding | Download |
15 | Lecture 15: Bivariate Factorization - Hensel Lifting | Download |
16 | Lecture 16: Bivariate polynomial factoring (continued) | Download |
17 | Lecture 17: Multivariate Polynomial Factorization | Download |
18 | Lecture 18: Multivariate Factoring - Hilbert's Irreducibility Theorem | Download |
19 | Lecture 19: Multivariate factoring (continued) | Download |
20 | Lecture 20: Analysis of LLL algorithm. | Download |
21 | Lecture 21: Analysis of LLL algorithm (continued) | Download |
22 | Lecture 22: Analysis of LLL-reduced basis algorithm and Introduction to NTRU cryptosystem | Download |
23 | Lecture 23: NTRU cryptosystem (continued) and Introduction to Primality testing | Download |
24 | Lecture 24: Randomized Primality testing: Solovay-Strassen and Miller-Rabin tests | Download |
25 | Lecture 25: Deterministic primality test (AKS) and RSA cryptosystem | Download |
26 | Lecture 26: Integer factoring: Smooth numbers and Pollard's rho method | Download |
27 | Lecture 27: Pollard's p-1, Fermat, Morrison-Brillhart, Quadratic and Number field sieve methods | Download |
Sl.No | Chapter Name | English |
---|---|---|
1 | Lecture 1: Introduction: Computation and Algebra | Download To be verified |
2 | Lecture 2: Background | Download To be verified |
3 | Lecture 3: GCD algorithm and Chinese Remainder Theorem | Download To be verified |
4 | Lecture 4: Fast polynomial multiplication | Download To be verified |
5 | Lecture 5: Fast polynomial multiplication (contd.) | Download To be verified |
6 | Lecture 6: Fast integer multiplication and division | Download To be verified |
7 | Lecture 7: Fast integer arithmetic and matrix multiplication | Download To be verified |
8 | Lecture 8: Matrix Multiplication Tensor. | Download To be verified |
9 | Polynomial factoring over finite fields: Irreducibility testing | PDF unavailable |
10 | Equi-degree factorization and idea of Berlekamp's algorithm | PDF unavailable |
11 | Lecture 11: Berlekamp's algorithm as a reduction method | PDF unavailable |
12 | Lecture 12: Factoring over finite fields: Cantor-Zassenhaus algorithm | PDF unavailable |
13 | Lecture 13: Reed Solomon Error Correcting Codes | PDF unavailable |
14 | Lecture 14: List Decoding | PDF unavailable |
15 | Lecture 15: Bivariate Factorization - Hensel Lifting | PDF unavailable |
16 | Lecture 16: Bivariate polynomial factoring (continued) | PDF unavailable |
17 | Lecture 17: Multivariate Polynomial Factorization | PDF unavailable |
18 | Lecture 18: Multivariate Factoring - Hilbert's Irreducibility Theorem | PDF unavailable |
19 | Lecture 19: Multivariate factoring (continued) | PDF unavailable |
20 | Lecture 20: Analysis of LLL algorithm. | PDF unavailable |
21 | Lecture 21: Analysis of LLL algorithm (continued) | PDF unavailable |
22 | Lecture 22: Analysis of LLL-reduced basis algorithm and Introduction to NTRU cryptosystem | PDF unavailable |
23 | Lecture 23: NTRU cryptosystem (continued) and Introduction to Primality testing | PDF unavailable |
24 | Lecture 24: Randomized Primality testing: Solovay-Strassen and Miller-Rabin tests | PDF unavailable |
25 | Lecture 25: Deterministic primality test (AKS) and RSA cryptosystem | PDF unavailable |
26 | Lecture 26: Integer factoring: Smooth numbers and Pollard's rho method | PDF unavailable |
27 | Lecture 27: Pollard's p-1, Fermat, Morrison-Brillhart, Quadratic and Number field sieve methods | PDF unavailable |
Sl.No | Language | Book link |
---|---|---|
1 | English | Not Available |
2 | Bengali | Not Available |
3 | Gujarati | Not Available |
4 | Hindi | Not Available |
5 | Kannada | Not Available |
6 | Malayalam | Not Available |
7 | Marathi | Not Available |
8 | Tamil | Not Available |
9 | Telugu | Not Available |