5 papers
A general method of deducing the determinantal expressions for polynomial and its derivative
Hongyi Lou, Shi-Mei Ma, Xinzhe Song +2
In this paper, we present a general method of deducing the determinantal expressions for a polynomial and its derivative. As illustrations, we provide three determinantal expressio…
Symmetric decompositions and Euler-Stirling statistics on Stirling permutations
Shi-Mei Ma, Jianfeng Wang, Guiying Yan +2
The Stirling permutations introduced by Gessel-Stanley have recently received considerable attention. Motivated by Ji's work on -Eulerian polynomials (Sci China Math., 2025)…
Isodiametric inequality for vector spaces
Jiaqi Liao, Hong Liu, Guiying Yan
A theorem of Kleitman states that a collection of binary vectors with diameter d has cardinality at most that of a Hamming ball of radius d/2. In this paper, we give a q-analog of…
On automorphism groups of polar codes
Jicheng Ma, Guiying Yan
Over the past years, Polar codes have arisen as a highly effective class of linear codes, equipped with a decoding algorithm of low computational complexity. This family of codes s…
On automorphism groups of binary cyclic codes
Ma Jicheng, Yan Guiying
A lot of attention has been paid to the investigation of the algebraic properties of linear codes. In most cases, this investigation involves the determination of required code aut…