학술
기타
On a class of twisted elliptic curve codes
arXiv Math
조회 0
이 뉴스, 어떠셨어요?
한 번의 탭으로 반응을 남겨요 · 로그인 불필요
CC BY
이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
Motivated by the studies of twisted generalized Reed-Solomon (TGRS) codes, we initiate the study of twisted elliptic curve codes (TECCs) in this paper.
In particular, we study a class of TECCs with one twist.
The parity-check matrices of the TECCs are explicitly given by computing the Weil differentials.
Then the sufficient and necessary conditions of self-duality are presented.
The minimum distances of the TECCs are also determined.
Moreover, examples of MDS, AMDS, self-dual and MDS self-dual TECCs are given.
Finally, we calculate the dimensions of the Schur squares of TECCs and show the non-equivalence between TECCs and ECCs/GRS codes.
관련 뉴스
관련 뉴스 제보는 로그인 후 가능합니다.
'research' 카테고리 뉴스
Rise Time Effects of a Portable Inductive Energy Storage Pulse Generator on NO Production in Spark Discharges
arXiv Physics
ConSolv: Solvent-Conditional Machine Learning Implicit Solvent Potential
arXiv Physics
Machine Learning Approaches for Improved Scalability of Metallic Magnetic Calorimeters
arXiv Physics