NU is all about fresh perspectives. So is our website.
Dr Sachin Pathak
- Assistant Professor
- Area: Mathematics and Basic Sciences
Dr Sachin Pathak received his PhD from IIT Patna and MSc from IIT Kanpur. The main area of his research is in Algebraic Coding Theory, along with the construction of quantum error-correcting codes and DNA codes. More specifically, his research topic directly links Electrical Engineering, Computer Science and Mathematics.
Dr Pathak has devised the construction of Homological Quantum codes from surface maps. The target applications of his research are the construction of Entanglement-assisted quantum error-correcting codes (EAQECCs) and secret sharing schemes. In his latest endeavour, Dr Pathak worked as a Postdoctoral Researcher at IIIT Delhi on a project entitled ‘Development of efficient homomorphic secret sharing schemes for applications in public health’. He has several publications published in peer-reviewed journals.
Dr Pathak has devised the construction of Homological Quantum codes from surface maps. The target applications of his research are the construction of Entanglement-assisted quantum error-correcting codes (EAQECCs) and secret sharing schemes. In his latest endeavour, Dr Pathak worked as a Postdoctoral Researcher at IIIT Delhi on a project entitled ‘Development of efficient homomorphic secret sharing schemes for applications in public health’. He has several publications published in peer-reviewed journals.
Qualifications
- PhD, Mathematics
- MSc, Mathematics
- BSc, Mathematics (Basics Science)
Experience
- Research – 2+ years
Research areas
- Algebraic Coding Theory
- Algebra
- Topological Graph Theory
Consulting areas
- Algebra
- Linear Algebra
- Graph Theory
- Analysis
Selected publications
- Hai Q. Dinh, S. Pathak, T. Bag, A. K. Upadhyay and W. Yamaka; “Constacyclic codes over mixed alphabets and their applications in constructing quantum codes,” Quantum Inf. Process.,20, pp. 1-35, 2021.
- Hai Q. Dinh, T. Bag, P. K. Kewat, S. Pathak, A. K. Upadhyay and W. Chinnakum; “Constacyclic codes of length (pr, ps) over mixed alphabets,” J. Appl. Math. Comput., 67, pp. 807–832, 2021.
- Hai Q. Dinh, S. Pathak, T. Bag, A. K. Upadhyay, R. Bandi and W. Yamaka; “On F2RS-cyclic codes and their applications in constructing optimal codes,” Discrete Mathematics, 344(5), pp. 1-24, 2021.
- Hai Q. Dinh, S. Pathak, T. Bag, A. K. Upadhyay and W. Chinnakum; “A study of FqR-cyclic codes and their applications in constructing quantum codes,” IEEE Access, 8, pp. 190049—190063, 2020.
- S. Pathak and A. Sharma, “On the hulls of cyclic codes of oddly even length over Z4,” Discrete Mathematics, vol. 347, no. 3, pp. 113796, Mar. 2024, doi: https://doi.org/10.1016/j.disc.2023.113796.
Publications
Research papers
- Hai Q. Dinh, B. P. Yadav, S. Pathak, A. K. Upadhyay and W. Yamaka; “Z4Z4Z4-additive cyclic codes are asymptotically good,” Applicable Algebra in Engineering, Communication and Computing, Feb-2022.
- D. Bhowmik, D. Maity, B. P. Yadav, S. Pathak and A. K. Upadhyay; “Some new classes of homological quantum codes associated with surface maps,” Nat. Acad. Sci. Lett., 119(45), pp. 83-86, 2022.
- Hai Q. Dinh, S. Pathak, T. Bag, A. K. Upadhyay and W. Yamaka; “Constacyclic codes over mixed alphabets and their applications in constructing quantum codes,” Quantum Inf. Process.,20, pp. 1-35, 2021.
- Hai Q. Dinh, T. Bag, P. K. Kewat, S. Pathak, A. K. Upadhyay and W. Chinnakum; “Constacyclic codes of length (pr, ps) over mixed alphabets,” J. Appl. Math. Comput., 67, pp. 807–832, 2021.
- Hai Q. Dinh, S. Pathak, T. Bag, A. K. Upadhyay, R. Bandi and W. Yamaka; “On F2RS-cyclic codes and their applications in constructing optimal codes,” Discrete Mathematics, 344(5), pp. 1-24, 2021.
- S. Pathak, G. Ghosh, A. K. Upadhyay and B. P. Yadav; “Quadratic residue codes over Fp+uFp+vFp,” Asian-Eur. J. Math., 14(10), pp. 1-9, 2021.
- Hai Q. Dinh, S. Pathak, A. K. Upadhyay and W. Yamaka; “New DNA codes from cyclic codes over mixed alphabets,” Mathematics, 8, pp. 1-24, 2020.
- Hai Q. Dinh, S. Pathak, T. Bag, A. K. Upadhyay and W. Chinnakum; “A study of FqR-cyclic codes and their applications in constructing quantum codes,” IEEE Access, 8, pp. 190049—190063, 2020.
- Hai Q. Dinh, T. Bag, S. Pathak, A. K. Upadhyay and W. Chinnakum; “Quantum codes obtained from constacyclic codes over a family of finite rings Fp[u1,u2,…,uk],” IEEE Access, 8, pp. 194082—194091, 2020.
- T. Bag, S. Pathak, A. K. Upadhyay; “Classes of constacyclic codes of length ps over the ring Fpm+ uFpm + vuFpm v+ Fpm,” Beitr. Algebra Geom., 60(4), pp. 693—707, 2019.
- S. Pathak and A. Sharma, “On the hulls of cyclic codes of oddly even length over Z4,” Discrete Mathematics, vol. 347, no. 3, pp. 113796, Mar. 2024, doi: https://doi.org/10.1016/j.disc.2023.113796.
Awards and recognition
- First prize on Research Scholar Day at IIT Patna for poster presentation.
- UGC JRF (Junior Research Fellowship) with AIR- 55, June-2015.
- GATE (Graduate Aptitude Test in Engineering) with AIR-755, 2015.
- Awarded Merit Cum Means (MCM) Scholarship by IIT Kanpur, 2014.
- IIT-JAM exam for MSc program with AIR-13, 2013.
Professional activities and achievements
- International online workshop on Advance Topics in Mathematics, organised by the Centre of Applied Mathematics at IIIT Naya Raipur, October-2020.
- Workshop on Topology of Manifolds and Group Actions, organised by National Centre for Mathematics at Delhi University, Novemeber-2017.
- Workshop on Instructional Schools for Teachers on Topology, organised by National Centre for Mathematics at IIT Patna, May-2017.
- Workshop on School on K-theory and its Applications, Indian Statistical Institute Bangalore, December-2016.
Other interests
- Music, reading, sports.