Quantum Codes Obtained From Some Constacyclic Codes Over a Family of Finite Rings Fp + UFp + VFp

Abstract

In this paper, we study the quantum codes over F<inf>p</inf>, p is an odd prime, obtained from some constacyclic codes over the finite ring F<inf>p</inf>+ uF<inf>p</inf>+ vF<inf>p</inf>, where u2= u, v2= v, uv= vu= 0. A constacyclic code over the finite ring F<inf>p</inf>+ uF<inf>p</inf>+ vF<inf>p</inf> is decomposed into three codes over F<inf>p</inf> in order to determine the parameters of the corresponding quantum codes. Finally, we have constructed some examples of quantum error-correcting codes. © 2019, Springer Nature Switzerland AG.