6 papers
Puncturing-inclusion constructions of optimal Ferrers diagram rank-metric codes using semifield codes
Dengming Xu, Chengming Duan, Yong Jin +1
Ferrers diagram rank-metric codes are essential components of the multilevel construction of constant dimension codes for random network coding. This paper aims to construct optima…
Multilevel constructions of constant dimension codes based on one-factorization of complete graphs
Dengming Xu, Mengmeng LI
Constant dimension codes (CDCs) have become an important object in coding theory due to their application in random network coding. The multilevel construction is one of the most e…
The Jacobi sums over Galois rings of arbitrary characters and their applications in constructing asymptotically optimal codebooks
Deng-Ming Xu, Chen Meng, Gang Wang +1
Codebooks with small maximum cross-correlation amplitudes are used to distinguish the signals from different users in CDMA communication systems. In this paper, we first study the…
On the Jacobi sums over Galois rings
Dengming Xu
In this paper, we study the Jacobi sums over Galois rings of arbitrary characteristics and completely determine their absolute values, which extends the work in \cite{feng1}, where…
Construction of mutually unbiased maximally entangled bases in by using Galois rings
Dengming Xu
Mutually unbiased bases plays a central role in quantum mechanics and quantum information processing. As an important class of mutually unbiased bases, mutually unbiased maximally…
Homological dimensions and strongly idempotent ideals
Dengming Xu
Let A be an Artin algebra and e an idempotent in A. It is an interesting topic to compare the homological dimension of the algebras A,A/AeA and eAe. For example, in [2], the relati…