4 citations · 7 across the 8 of their papers we have counts for
8 papers
Infinite families of constacyclic codes supporting 3-designs and their applications in coding theory
Hongsheng Hu, Nian Li, Yanan Wu +1
Constacyclic codes over finite fields are of theoretical importance as they are closely related to a number of areas of mathematics such as algebra, algebraic geometry, graph theor…
The varieties generated by 3-hypergraph semirings
Yuanfan Zhuo, Xingliang Liang, Yanan Wu +1
In this paper the 3-hypergraph semigroups and 3-hypergraph semirings from 3-hypergraphs are introduced and the varieties generated by them are studied. It is shown tha…
Infinite families of optimal and minimal codes over rings using simplicial complexes
Yanan Wu, Tingting Pang, Nian Li +2
In this paper, several infinite families of codes over the extension of non-unital non-commutative rings are constructed utilizing general simplicial complexes. Thanks to the speci…
Cyclic and Negacyclic Codes with Optimal and Best Known Minimum Distances
Hao Chen, Yanan Wu
In this paper, we construct a new family of distance-optimal binary cyclic codes with the minimum distance and a new family of distance-optimal quaternary cyclic codes with the…
The additively idempotent semiring is nonfinitely based
Yanan Wu, Miaomiao Ren, Xianzhong Zhao
We show that the additively idempotent semiring has no finite basis for its equational theory. This answers an open problem posed by Jackson et al. (J. Algebra 611 (2022),…
Bivariate functions with low -differential uniformity
Yanan Wu, Pantelimon Stănică, Chunlei Li +2
Starting with the multiplication of elements in which is consistent with that over , where is a prime power, via some identification of the…
On the differential spectrum of a class of power functions over finite fields
Nian Li, Yanan Wu, Xiangyong Zeng +1
Differential uniformity is a significant concept in cryptography as it quantifies the degree of security of S-boxes respect to differential attacks. Power functions of the form $F(…
New PN and APN functions over finite fields
Yanan Wu, Nian Li, Xiangyong Zeng
Functions with low -differential uniformity were proposed in and attracted lots of attention, especially the PN and APN functions, due to their applications in cryp…