This document discusses a secure digital signature approach for SMS security using ECDSA algorithm. It begins with an introduction to digital signatures and their technical details. It then discusses the legal recognition of digital signatures in India according to the Information Technology Act 2000. It describes SMS architecture and vulnerabilities. The document proposes using ECDSA algorithm to add non-repudiation to SMS through digital signatures. It analyzes the security of this approach and discusses checking it for vulnerabilities before concluding and citing references.