Title :
Norm quadratic-residue codes
Author :
Tiu, Philip D. ; Wallace, Dorothy I.
Author_Institution :
Dept. of Math., St. Mary´´s Coll., Notre Dame, IN, USA
fDate :
5/1/1994 12:00:00 AM
Abstract :
Introduces a new class of binary linear error-correcting codes, based on the concept of the finite upper half-plane. A norm quadratic-residue code Cp has p(p-1) coordinate places labeled by ordered pairs (a,b), where p is a prime of the form 4m+1 and a,b ∈ GF(p), b≠0. Some fundamental properties of Cp are established
Keywords :
error correction codes; binary linear error-correcting code; coordinate places; finite upper half-plane; norm quadratic-residue code Cp; ordered pairs; Binary codes; Erbium; Error correction codes; Galois fields; Mathematics; Modular construction; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
