Resumen
The article focuses on the emerging trends and future of cryptography. Cryptography is an elaborate electronic, mathematical, and computational edifice that transforms trillions of bits into or out of cipher text every second. In cryptography, the problems fall into three general areas. These areas are mathematics, computational complexity and computing technology. The mathematical problems lie largely in the area of algebraic geometry, the branch of mathematics that deals with solving sets of algebraic equations over very general arithmetic structures. Mathematics generally exhibits a very permissive attitude toward the issue of when a problem can be solved, taking little account of efficiency. The progress of computing is the most predicted and perhaps least certain of the three areas. Physicists today are working on quantum computing, an ambitious attempt to expand parallelism in computing by computing in quantum superposition, a phenomenon in which a computer's state evolves toward all possible outcomes simultaneously.