环F_(p^m)+uF_(p^m)+vF_(p^m)+uvF_(p^m)上长为2p^s的(λu-1)-常循环码

( λu- 1)-Constacyclic Codes of Length 2p^s over the Ring F_(p^m)+uF_(p^m)+vF_(p^m)+uvF_(p^m)

将环Fpm+u Fpm+v Fpm+uv Fpm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(mod4)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.

In the case p≡3（ mod 4） and m was odd,the（ λu- 1）-constacyclic codes of length 2p^s over the ring Fp^m＋uFp^m＋vFp^m＋uvFp^m 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.