Left ideals of the skew polycyclic quotient over R_u2,v2,pm are explicitly generated by four polynomials with divisibility conditions; free codes are monic right divisors, and constacyclic codes of length np^s reduce via CRT to these ideals.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
cs.IT 2years
2026 2representative citing papers
The paper classifies left ideals in skew polynomial rings to describe skew constacyclic codes of length np^s over R_k and provides explicit analyses for lengths 3p^s and 6p^s with examples of optimal parameters.
citing papers explorer
-
A Study Of Skew-Polycyclic Codes Over A Non-Chain Ring
Left ideals of the skew polycyclic quotient over R_u2,v2,pm are explicitly generated by four polynomials with divisibility conditions; free codes are monic right divisors, and constacyclic codes of length np^s reduce via CRT to these ideals.
-
Skew Constacyclic Codes Of Length $np^s$ over $ \frac{\mathbb{F}_{p^m}[u]}{\langle u^k \rangle}
The paper classifies left ideals in skew polynomial rings to describe skew constacyclic codes of length np^s over R_k and provides explicit analyses for lengths 3p^s and 6p^s with examples of optimal parameters.