We know that for a code C,it‘s very important to find out the Automorphism groupAutC of C.However,it is very difficult to seek entire AutC.In this paper,using the G.I of matrices over a finite field,we give several m...We know that for a code C,it‘s very important to find out the Automorphism groupAutC of C.However,it is very difficult to seek entire AutC.In this paper,using the G.I of matrices over a finite field,we give several methods to judge whether a permutation σ∈S_n.(Symmetric group) belongs to AutC or not.They are helpful for the purpose to ex-展开更多
In this paper, we study self-dual permutation codes over formal power series rings and finite principal ideal rings. We first give some results on the torsion codes associated with the linear codes over formal power s...In this paper, we study self-dual permutation codes over formal power series rings and finite principal ideal rings. We first give some results on the torsion codes associated with the linear codes over formal power series rings. These results allow for obtaining some conditions for non-existence of self-dual permutation codes over formal power series rings. Finally, we describe self-dual permutation codes over finite principal ideal rings by examining permutation codes over their component chain rings.展开更多
Permutation codes over finite chain rings are introduced; by using the character of the finite chain rings and the knowledge of representation of group, some conditions for existence or non-existence of self-dual perm...Permutation codes over finite chain rings are introduced; by using the character of the finite chain rings and the knowledge of representation of group, some conditions for existence or non-existence of self-dual permutation codes over finite chain rings are obtained. Specially, when the group is a direct product of a 2-group and a T-group, and the group action is transitive, the sufficient and necessary condition of the existence of permutation codes is given.展开更多
The role of taxation in promoting economic recovery has attracted great-er attention in recent years,with economic dislocation following the Global Financial Crisis and the COVID-19 pandemic.While taxation is only one...The role of taxation in promoting economic recovery has attracted great-er attention in recent years,with economic dislocation following the Global Financial Crisis and the COVID-19 pandemic.While taxation is only one of the factors impacting economic recovery,both economic literature and practical experience show that tax policy can contribute to enhanced growth and therefore greater economic activity.Tax instruments used as a means for promoting economic recovery include tax holidays,preferential tax rates,investment allowances,tax credits and special economic zones.However,there are a range of constraints over tax incentive design imposed by bodies such as the OECD/G20 Inclusive Framework on Base Erosion and Profit Shifting,the Forum on Harmful Tax Practices of the OECD and the Code of Conduct on Business Taxation of the European Union.Given the above,this paper sets out practical issues to inform governments seeking to promote economic activity through taxation.展开更多
文摘We know that for a code C,it‘s very important to find out the Automorphism groupAutC of C.However,it is very difficult to seek entire AutC.In this paper,using the G.I of matrices over a finite field,we give several methods to judge whether a permutation σ∈S_n.(Symmetric group) belongs to AutC or not.They are helpful for the purpose to ex-
文摘In this paper, we study self-dual permutation codes over formal power series rings and finite principal ideal rings. We first give some results on the torsion codes associated with the linear codes over formal power series rings. These results allow for obtaining some conditions for non-existence of self-dual permutation codes over formal power series rings. Finally, we describe self-dual permutation codes over finite principal ideal rings by examining permutation codes over their component chain rings.
基金Supported by the National Natural Science Foundation of China (60373087, 60473023, 90104005, 60673071)
文摘Permutation codes over finite chain rings are introduced; by using the character of the finite chain rings and the knowledge of representation of group, some conditions for existence or non-existence of self-dual permutation codes over finite chain rings are obtained. Specially, when the group is a direct product of a 2-group and a T-group, and the group action is transitive, the sufficient and necessary condition of the existence of permutation codes is given.
文摘The role of taxation in promoting economic recovery has attracted great-er attention in recent years,with economic dislocation following the Global Financial Crisis and the COVID-19 pandemic.While taxation is only one of the factors impacting economic recovery,both economic literature and practical experience show that tax policy can contribute to enhanced growth and therefore greater economic activity.Tax instruments used as a means for promoting economic recovery include tax holidays,preferential tax rates,investment allowances,tax credits and special economic zones.However,there are a range of constraints over tax incentive design imposed by bodies such as the OECD/G20 Inclusive Framework on Base Erosion and Profit Shifting,the Forum on Harmful Tax Practices of the OECD and the Code of Conduct on Business Taxation of the European Union.Given the above,this paper sets out practical issues to inform governments seeking to promote economic activity through taxation.