For any simple-root constacyclic code C over a finite field F q, as far as we know, the group G generated by the multiplier, the constacyclic shift and the scalar multiplications is the largest subgroup of the automorphism group Aut ( C ) of C. ...

Visible–infrared person re-identification (VIPR) plays an important role in intelligent transportation systems. Modal discrepancies between visible and infrared images seriously confuse person appearance discrimination, e.g., the similarity of ...

BCH codes form a special subclass of cyclic codes and have been extensively studied in the past decades. Determining the parameters of BCH codes, however, has been an important but difficult problem. Recently, in order to further investigate the ...

Let <inline-formula> <tex-math notation="LaTeX">$\mathcal {C}$ </tex-math></inline-formula> be an arbitrary simple-root cyclic code and let <inline-formula> <tex-math notation="LaTeX">$\mathcal {G}$ </tex-math></inline-formula> be the subgroup of <inline-...

Galois inner product is a generalization of the Euclidean inner product and Hermitian inner product. The theory on linear codes under Galois inner product can be applied in the constructions of MDS codes and quantum error-correcting ...

Let ${\mathbb{F}}_q$ be a finite field with $q=p^e$ elements, where p is a prime and e is a positive integer. In 2017, Fan and Zhang introduced $\ell$-Galois inner products on the n-dimensional vector space ${\mathbb{F}}_q^n$ for $0\le \ell <e$, which generalized the Euclidean inner product ...$$$$${\mathbb{}}_{}$${\mathbb{}}_{}$$$$$$$${\mathbb{}}_{}$$$$$${\mathbb{}}_{}$${\mathbb{}}_{}$$$$$${\mathbb{}}_{}$