Title :
A new family of frequency-hop codes
Author :
Moreno, O. ; Maric, S.V.
Author_Institution :
Dept. of Math., Puerto Rico Univ., San Juan, Puerto Rico
Abstract :
We give an algebraic construction for a new family of frequency-hop codes. The construction is based on properties of finite fields: it is shown that for each field GF(p/sup m/), there exists a large number of codes of length p/sup m/. The codes are also shown to possess the best possible simultaneous two-dimensional autocorrelation and cross-correlation properties. Moreover, they include a family of codes: with a code length of a power of 2, which are ideally suitable for applications in digital communication systems.
Keywords :
Algebraic codes; Correlation methods; Digital radio; Frequency hop communication; Galois fields; Multi-access systems; 2D autocorrelation property; 2D cross-correlation property; Galois fields; algebraic construction; code length; digital communication systems; finite fields; frequency-hop codes; multiuser communication systems; Art; Autocorrelation; Communication systems; Digital communication; Frequency; Galois fields; Land mobile radio; Linear algebra; Radar; Sonar;
Journal_Title :
Communications, IEEE Transactions on
