4 papers
Non-GRS type MDS and AMDS codes from extended TGRS codes
Meiying Zhang, Shudi Yang, Yanbin Zheng
Maximum distance separable (MDS) and almost maximum distance separable (AMDS) codes have been widely used in various fields such as communication systems, data storage, and quantum…
On many-to-one property of generalized cyclotomic mappings
Yanbin Zheng, Yang Zhang, Zhengbang Zha +2
The generalized cyclotomic mappings over finite fields are those mappings which induce monomial functions on all cosets of an index subgroup of the mu…
Large class of many-to-one mappings over quadratic extension of finite fields
Yanbin Zheng, Meiying Zhang, Yanjin Ding +2
Many-to-one mappings and permutation polynomials over finite fields have important applications in cryptography and coding theory. In this paper, we study the many-to-one property…
On many-to-one mappings over finite fields
Yanbin Zheng, Yanjin Ding, Meiying Zhang +2
We introduce the definition of -to- mappings between two finite sets, which unifies and generalizes the definitions of -to- and -to- mappings in recent literature…