Chunming Tang

Constructing bent functions and bent idempotents of any possible algebraic degrees

2015 · arXiv (Cornell University)

Bent functions as optimal combinatorial objects are difficult to characterize and construct. In the literature, bent idempotents are a special class of bent functions and few constructions have been presented, which are restricted by the …

Shortened Linear Codes over Finite Fields

2020 · arXiv (Cornell University)

The puncturing and shortening technique are two important approaches to constructing new linear codes from old ones. In the past 70 years, a lot of progress on the puncturing technique has been made, and many …

LBPSGORA: Create Load Balancing with Particle Swarm Genetic Optimization Algorithm to Improve Resource Allocation and Energy Consumption in Clouds Networks

2021 · Mathematical Problems in Engineering

Due to the purpose of this study that reducing power consumption in the cloud network is based on load balancing, the fitness function measures the load balance between cloud network and servers (the hosts). This …

Combinatorial $t$-Designs from Finite Abelian Groups and Their Applications to Elliptic Curve Codes

2025 · arXiv (Cornell University)

In this paper, we establish the conditions for some finite abelian groups and the family all the $k$-sets in each of them summing up to an element $x$ to form $t$-designs. We fully characterize the …