- HOMOGENEOUS WEIGHTS AND EXPONENTIAL SUMS JOSE FELIPE VOLOCH AND JUDY L. WALKER
- May 7, 2002 23:25 WSPC/Guidelines ExpSumsIntro EXPONENTIAL SUMS IN CODING THEORY,
- Symmetric Cryptography and Algebraic Curves Jose Felipe Voloch
- MODULAR CURVES FELIPE VOLOCH
- Algorithms for Finite Fields September 12, 2006
- Differentials of the Second Kind in Characteristic p
- Lemma 0.1. Let K be a function field. If D D then l(D ) -deg D l(D) -deg D
- 1. Week One Let k be a finite field, and let q denote the number of elements in k. One of the main
- Notation: If K is a field with absolute value | |, call K the completion of K with respect to | |.
- FINITE DESCENT OBSTRUCTION ON CURVES AND DAVID HELM AND JOSE FELIPE VOLOCH
- A Local-Global Criterion for Dynamics on P1 JOSEPH H. SILVERMAN AND JOSE FELIPE VOLOCH
- Lecture Notes, October 12, 14, 2004 Let K be a field with product formula. vM |x|mv
- 1 List decoding and discrete log problem: The decoding problem of Reed Solomon codes can be reformulated into the
- A REVIEW OF NON-ARCHIMEDEAN ELLIPTIC FUNCTIONS This expository article consists of two parts. The first is an old manuscript dating
- Theorem 1 (Skolem). Let d, m Z with m = 0. If d is not a cube then the equation
- ELLIPTIC CURVES, MODULAR CUVERS, AND MODULAR FORMS, Definition 1. Let K be a field. An elliptic curve E/K is a smooth projective curve of
- Number Theory Notes Felipe Voloch
- Algebraic Number Theory Notes October 19 21
- Plane curves with many points over finite fields Matthew L. Carlin and Jose Felipe Voloch
- 1 Notes from 31 Oct 2006 1.1 Theorem Let n 1 be an odd integer and r a prime, r n, such that the order of n in Z
- Rings of fractions the hard way Jose Felipe Voloch
- Notes for Nov. 9 and 11 From last time, S is a finite set of absolute values of K containing the archimedian ones.
- Algorithms for Finite Fields Notes for October 5, 2006
- CONSTRUCTIONS OF PLANE CURVES WITH MANY POINTS
- Codes in Theoretical Computer Science David Zuckerman
- On the duals of binary BCH codes Jose Felipe Voloch
- Algebraic Number Theory November 30 and December 2
- ON THE NUMBER OF PLACES OF CONVERGENCE FOR NEWTON'S METHOD OVER NUMBER FIELDS
- SPECIAL DIVISORS OF LARGE DIMENSION ON CURVES WITH MANY POINTS OVER FINITE FIELDS
- THE BRAUER-MANIN OBSTRUCTION FOR INTEGRAL POINTS ON CURVES
- ELEMENTS OF HIGH ORDER ON FINITE FIELDS FROM ELLIPTIC CURVES
- Contemporary Mathematics Breaking the Akiyama-Goto cryptosystem
- On the order of points on curves over finite fields Jose Felipe Voloch
- Multiplicative Order of Gauss Periods Omran Ahmadi
- Visible Points on Curves over Finite Igor E. Shparlinski
- Computing the minimal distance of cyclic codes Jose Felipe Voloch
- Weights in Codes and Genus 2 Curves Gary McGuire
- A note on (k, n)-arcs Jose Felipe Voloch
- Surfaces in P3 over finite fields
- Algorithms for Finite Fields 1 Introduction
- 1. Week One What is an exponential sum?
- ELLIPTIC CURVES First, we recall what we covered last time about isogenies.
- Proposition 1. Let E/K be an elliptic curve. (1) If char K = 0 or if char K = p, p not dividing n, then
- ELLIPTIC CURVES OVER C (CONTINUED) FELIPE VOLOCH
- 1 Notes 02/25/10 Corrections: Corrections from previous notes.
- Elliptic Curves Notes taken by James Jones for Dr. Voloch
- Elliptic Curves Felipe Voloch
- ELLIPTIC CURVES, MODULAR CURVES, AND MODULAR FORMS We begin with a computation involving the Hecke operator Tp, p a prime. We have, for
- Class Notes Tuesday, September 5, 2006
- Class Notes Tuesday, September 5, 2006
- Lecture Notes For M390C Algorithms for Finite Fields
- Algorithms for Finite Fields Lecture Notes October 24/26, 2006
- 1 Polynomial Reconstruction 1.1 Overview
- Notes for Algebraic Number Theory August 31, 2004
- Algebraic Number Theory (Fall 2004) Lectures 4 and 5 September 20, 2004
- Notes for Algebraic Number Theory (9/21 and 9/23) Salman Butt
- Algebraic Number Theory October 26-28
- LOCAL FIELDS 1. Absolute Values
- Asymptotics of the minimal distance of quadratic residue codes Jose Felipe Voloch
- HEIGHT FUNCTIONS 1. Normalized Absolute Values
- Algorithms for Finite Fields Notes for September 19th and 21st
- 1 Elliptic Curves Notes May 4, 2010 Lemma 1. Let E/Q be semistable. Let l and p be distinct primes with
- Towards Lang-Trotter for Elliptic Curves over Function Chris Hall and Jose Felipe Voloch
- Indifferentiable Deterministic Hashing to Elliptic and Hyperelliptic Curves
- CHAPTER III EXTENSIONS OF ABSOLUTE VALUES
- NOTES FOR ALGEBRAIC NUMBER THEORY (9/14 & 9/16) CHARLES SAMUELS
- On Hashing into Elliptic Curves Reza Rezaeian Farashahi
- Average distribution of prime ideals in families of number fields
- BLET: A MATHEMATICAL PUZZLE L. SADUN, F. RODRIGUEZ VILLEGAS AND J. F. VOLOCH
- Algorithms for Finite Fields October 3, 2006
- Conics over function fields and the Artin-Tate conjecture Jose Felipe Voloch
- Notes on Diophantine Geometry Felipe Voloch and students
- THE BRAUER-MANIN OBSTRUCTION FOR SUBVARIETIES OF ABELIAN VARIETIES OVER FUNCTION FIELDS
- Efficient Computation of Roots in Finite Fields PAULO S. L. M. BARRETO (pbarreto@larc.usp.br)
- Double Circulant Quadratic Residue Tor Helleseth
- 1 The Group Law on an Elliptic Curve January 26, 2010
- On the duals of binary BCH codes Jose Felipe Voloch
- 1. Week One Let k be a finite field, and let q denote the number of elements in k. One of*
- Notes on Factoring Polynomials in Two Variables Zachary Miner
- GENERATORS OF ELLIPTIC CURVES OVER FINITE IGOR E. SHPARLINSKI AND JOSE FELIPE VOLOCH
- These are notes from a course in Algebraic Number Theory taught by J. F. Voloch at the University of Texas at Austin in the Fall of 2004. The notes are a revision of notes originally
- Brazilian Mathematical Society Call for papers and Editor's Announcement.
- Improvements to AKS Jose Felipe Voloch
- ELLIPTIC CURVES, MODULAR CUVERS, AND MODULAR FORMS, Definition 1. Let K be a field. An elliptic curve E/K is a smooth projective curve of
- Algorithms for finite fields Lecture notes -September 26th
- Lecture Notes from August 31, 2006
- 1 Notes Thursday 11-30-06 1.1 Complexity of Multiplication
- BLET: A MATHEMATICAL PUZZLE F. RODRIGUEZ VILLEGAS, L. SADUN AND J. F. VOLOCH
- FINITE DESCENT OBSTRUCTION FOR CURVES OVER FUNCTION FIELDS
- Descent obstructions and Brauer-Manin obstruction in positive characteristic