环 Fpm +uFpm +vFpm +uvFpm上长为 2 ps 的(λu-1 )-常循环码

摘要

In the case p≡3( mod 4) and m was odd, the (λu-1)-constacyclic codes of length 2ps over the ring Fpm+uFpm+vFpm+uvFpm were classified into 4 distinct types of ideals.Then,the torsion codes and residue codes of those constacyclic codes were also defined,based on which the number of codewords of those constacyclic codes were obtained.%将环Fpm +uFpm +vFpm +uvFpm上长为2ps 的(λu-1)-常循环码分为4种不同类型的理想,其中,p≡3(mod 4)且m为奇数.定义了该环上常循环码的扭码和剩余码, 并由此得到了该环上长为2ps 的(λu-1) -常循环码的计数.