Title :
On the dimension of trace codes
Author :
Van Der Vlugt, Marcel
Author_Institution :
Dept. of Math. & Inf., Leiden Univ., Netherlands
fDate :
1/1/1991 12:00:00 AM
Abstract :
An improvement of the trivial upper bound for the dimension of certain binary trace codes, as well as their true dimension under certain conditions, is derived. The dimension of trace codes of hermitian codes is developed, and the dimension of trace codes of elliptic codes is presented
Keywords :
codes; binary trace codes; dimension; elliptic codes; hermitian codes; trivial upper bound; Binary codes; Elliptic curves; Equations; Galois fields; H infinity control; Informatics; Kernel; Linear code; Mathematics; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
