2018/11/19 by Edgar Martı́nez-Moro, Martínez-Moro, Edgar, Alexandre Fotue +3
Computer Science · #13B02 #94B05 #Cellular Automata and Applications #Coding theory and cryptography #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1811.07975
openalex publication_date 2018/11/19 · openalex created_date 2018/11/29 · openalex updated_date 2026/07/28
Galois images of polycyclic codes over a finite chain ring S and their annihilator dual are investigated. The case when a polycyclic codes is Galois-disjoint over the ring S, is characterized and, the trace codes and restrictions of free polycyclic codes over S are also determined givind an analogue of Delsarte theorem among trace map, any S -linear code and its annihilator dual.