4 papers · 1 filter
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…