منابع مشابه
Authentication Codes and Algebraic Curves
We survey a recent application of algebraic curves over finite fields to the constructions of authentication codes.
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This chapter discusses quantum error-correcting codes constructed from algebraic curves. We give an introduction to quantum coding theory including bounds on quantum codes. We describe stabilizer codes which are the quantum analog of classical linear codes and discuss the binary and q-ary CSS construction. Then we focus on quantum codes from algebraic curves including the projective line, Hermi...
متن کاملQuantum codes from algebraic curves with automorphisms
Let X be an algebraic curve of genus g > 2 defined over a field Fq of characteristic p > 0. From X , under certain conditions, we can construct an algebraic geometry code C. If the code C is self-orthogonal under the symplectic product then we can construct a quantum code Q, called a QAG-code. In this paper we study the construction of such codes from curves with automorphisms and the relation ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1999
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-99-00783-1