Title :
Generalized Frobenius extensions of finite rings and trace functions
Author :
Greferath, Marcus ; Nechaev, Alexandr
Author_Institution :
Claude Shannon Inst., Univ. Coll. Dublin, Dublin, Ireland
fDate :
Aug. 30 2010-Sept. 3 2010
Abstract :
We present a notion of generalized Frobenius extension for finite rings, and study related trace functions. Then we show applications of such extensions for algebraic coding theory.
Keywords :
algebraic codes; algebraic coding theory; finite rings; generalized Frobenius extensions; trace functions; Additives; Hamming distance; Hamming weight; Measurement; Modules (abstract algebra);
Conference_Titel :
Information Theory Workshop (ITW), 2010 IEEE
Conference_Location :
Dublin
Print_ISBN :
978-1-4244-8262-7
Electronic_ISBN :
978-1-4244-8263-4
DOI :
10.1109/CIG.2010.5592917
