Title :
A Justesen construction of binary concatenated codes that asymptotically meet the Zyablov bound for low rate
Author_Institution :
Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands
fDate :
1/1/1993 12:00:00 AM
Abstract :
An explicit construction of a sequence of binary codes that asymptotically meet the Zyablov bound for rates lower than 0.30 is given by using Justesen´s construction of concatenation. The outer codes are constructed from generalized Hermitian curves. These outer codes can be described without any algebraic geometry terminology, while the proofs of some properties deeply rely on algebraic geometry
Keywords :
error correction codes; Justesen construction; Zyablov bound; algebraic geometry; algebraic-geometric codes; binary codes; concatenated codes; generalized Hermitian curves; inner codes; outer codes; Binary codes; Books; Concatenated codes; Geometry; Linear code; Mathematics; Terminology;
Journal_Title :
Information Theory, IEEE Transactions on