On linear complementary dual codes over finite chain rings

Vortrag von Prof. Dr. Yilmaz Durgun

Sprecher eingeladen von: Prof. Dr. Joachim Rosenthal

Datum: 21.02.18  Zeit: 16.00 - 17.00  Raum:

Linear complementary dual (LCD) codes are linear codes that intersect with their dual trivially. Recently, several constructions of LCD codes were presented together with their applications against side-channel attacks (SCA). Although LCD codes over finite fields have been extensively studied so far, little work has been done on LCD codes over chain rings. In this presentation, we are interested in structure of LCD codes over finite chain rings. We will show that LCD codes over chain rings are free codes. We provide some necessary and sufficient conditions for an LCD code C over a finite chain ring. We will also show the existence of asymptotically good LCD codes over finite chain rings.