Z_P→Z_(P^2)上的Hensel提升

Hensel lift of Z_P→Z_(P^2)

Hensel引理和Hensel提升是研究环上码的重要工具,[1]中论述了Z_2→Z_4上的Hensel提升,在此基础上,本文进一步研究Z_P→Z_(P^2)(P为素数)上的Hensel提升。

Hensel lemma and Hensel lift are important tools in studying codes over rings , and Hensel lift of Z2→Z4 had already been studied in, on the basis of this, correspondently, this paper studies Hensel lift of ZP→ Z (P is prime).