Zeta polynomials of type IV codes over rings of order four

• Main Author: Nocon, Ederlina G.
• Format: text
• Published: Animo Repository 2009
• Subjects: Rings (Algebra); Finite fields (Algebra); Riemann hypothesis; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/2775
• Institution: De La Salle University

We extend the definition of zeta function and zeta polynomial to codes defined over finite rings with respect to a specified weight function. Moreover, we also investigate the Riemann hypothesis analogue for Type IV codes over any of the rings Z4, F2 + uF2 and F2 + vF2. Although, for small lengths,...