In 2017, He (2017) [9] established two supercongruences on truncated hypergeometric series and further proposed related conjectures. Subsequently, Liu [11] extended He's formulas confirmed the second conjecture. However, first conjecture is still open up to now. With help of creative microscoping method Chinese remainder theorem for coprime polynomials, we derive several q-supercongruences modu...

<p class="Abstrak">Kemudahan untuk mengakses dan berbagi media digital saat ini menimbulkan kekhawatiran mengenai pelanggaran hak cipta atau pembajakan. Sehingga perlu memberikan identitas kepada setiap agar tidak mudah dibajak diklaim oleh pihak-pihak yang bertanggung jawab. Salah satu cara pada suatu tanpa mengurangi kualitas dari medianya sendiri yaitu dengan menggunakan watermarking. ...

Existing security and identity-based vehicular communication protocols used in Vehicular Ad-hoc Networks (VANETs) to achieve conditional privacy-preserving mostly rely on an ideal hardware device called tamper-proof (TPD) equipped vehicles. Achieving fast authentication during the message verification process is usually challenging such strategies further they suffer performance constraints fro...

Multi-Secret Image Sharing (MSIS) is important in information security when multiple images are shared an unintelligible form to different participants, where the can only be recovered using shares from participants. This paper proposes a simple and efficient ( $...

Residue number systems have gained significant importance in the field of high-speed digital signal processing due to their carry-free nature and speed-up provided by parallelism. The cynical aspect in the application of RNS is the selection of the moduli set and the design of the conversion units. In the residue number system, a set of moduli which are independent of each other is given. An in...

The purpose of this paper is to study codes over finite principal ideal rings. To do this, we begin with codes over finite chain rings as a natural generalization of codes over Galois rings GR(pe, l) (including Zpe). We give sufficient conditions on the existence of MDS codes over finite chain rings and on the existence of self-dual codes over finite chain rings. We also construct MDS self-dual...

1 Topics in Number Theory 2 1.1 Subgroups of the Integers . . . . . . . . . . . . . . . . . . . . 2 1.2 Greatest Common Divisors . . . . . . . . . . . . . . . . . . . . 2 1.3 The Euclidean Algorithm . . . . . . . . . . . . . . . . . . . . . 3 1.4 Prime Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.5 The Fundamental Theorem of Arithmetic . . . . . . . . . . . . 5 1.6 The Infini...