Carlo Sanna

ERC sectors

• Collegio di Ingegneria Civile ed Edile. Componente
• Collegio di Ingegneria Informatica, del Cinema e Meccatronica. Componente

PhD

• Blockchain and cryptoeconomy. A.A. 2019/20, MATEMATICA PURA E APPLICATA. Teaching assistant

Master of Science

• Advanced cryptography. A.A. 2024/25, CYBERSECURITY. Titolare del corso

Bachelor of Science

• Algebra lineare e geometria. A.A. 2025/26, INGEGNERIA AEROSPAZIALE. Titolare del corso
• Algebra lineare e geometria. A.A. 2024/25, INGEGNERIA AEROSPAZIALE. Titolare del corso
• Algebra lineare e geometria. A.A. 2023/24, INGEGNERIA GESTIONALE. Titolare del corso
• Laboratorio Problem Solving 2 - Intraprendenti. A.A. 2022/23, INGEGNERIA AEROSPAZIALE. Collaboratore del corso
• Laboratorio Problem Solving 2 - Intraprendenti. A.A. 2022/23, INGEGNERIA AEROSPAZIALE. Collaboratore del corso
• Laboratorio Problem Solving 2 - Intraprendenti. A.A. 2022/23, INGEGNERIA AEROSPAZIALE. Collaboratore del corso
• Algebra lineare e geometria. A.A. 2022/23, INGEGNERIA GESTIONALE. Titolare del corso
• Algebra lineare e geometria. A.A. 2021/22, INGEGNERIA AEROSPAZIALE. Collaboratore del corso
• Algebra lineare e geometria. A.A. 2020/21, INGEGNERIA AEROSPAZIALE. Collaboratore del corso
• Algebra lineare e geometria. A.A. 2020/21, INGEGNERIA AEROSPAZIALE. Collaboratore del corso

• Cryptanalysis (DISMA)
• Number Theory (DISMA)

• Cryptography and Number Theory (DISMA)

Projects funded by competitive calls

• Algebraic methods in Cryptanalysis, (2025-2027) - Responsabile Scientifico
  Nationally funded research - PRIN
• QUBIP - Quantum-oriented Update to Browsers and Infrastructures for the PQ Transition, (2023-2026) - Responsabile Scientifico di Struttura
  UE-funded research - HE - Global Challenges - Civil Security for Society
• SERICS - Spoke 5 - SEcurity and RIghts in the CyberSpace (SERICS) – Spoke 5, (2023-2025) - Responsabile Scientifico
  PNRR – Mission 4

• Elena Broggini. Programme in Scienze Matematiche (40^th cycle, 2024-in progress)
• Leonardo Errati. Programme in Scienze Matematiche (40^th cycle, 2025-in progress)
• Giulia Salvatori. Programme in Scienze Matematiche (40^th cycle, 2024-in progress)
• Federico Accossato. Programme in Matematica Pura E Applicata (38^th cycle, 2022-in progress)
• Enrico Guglielmino. Programme in Matematica Pura E Applicata (38^th cycle, 2022-in progress)
• Giuliano Romeo. Programme in Matematica Pura E Applicata (37^th cycle, 2021-2025)
  Thesis: Advances in the theory of p-adic continued fractions

• He, Qizheng; Sanna, Carlo (2025)
  Counting numbers that are divisible by the product of their digits. In: JOURNAL OF NUMBER THEORY, vol. 272, pp. 34-59. ISSN 0022-314X
  Contributo su Rivista
• Sanna, Carlo (2025)
  On the number of solutions to a random instance of the permuted kernel problem. In: JOURNAL OF COMPLEXITY, vol. 86, pp. 1-12. ISSN 0885-064X
  Contributo su Rivista
• Sanna, Carlo (2025)
  A note on the power sums of the number of Fibonacci partitions. In: DISCRETE ANALYSIS, pp. 1-13. ISSN 2397-3129
  Contributo su Rivista
• Di Scala, Antonio J.; Sanna, Carlo; Signorini, Edoardo (2024)
  RLWE and PLWE over cyclotomic fields are not equivalent. In: APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, vol. 35, pp. 351-358. ISSN 0938-1279
  Contributo su Rivista
• Sanna, Carlo (2024)
  On the index of appearance of a Lucas sequence. In: RAMANUJAN JOURNAL, vol. 63, pp. 1179-1198. ISSN 1382-4090
  Contributo su Rivista
• Adj, Gora; Barbero, Stefano; Bellini, Emanuele; Esser, Andre; Rivera-Zamarripa, Luis; ... (2024)
  MiRitH: Efficient Post-Quantum Signatures from MinRank in the Head. In: IACR TRANSACTIONS ON CRYPTOGRAPHIC HARDWARE AND EMBEDDED SYSTEMS, vol. 2024, pp. 304-328. ISSN 2569-2925
  Contributo su Rivista
• Accossato, Federico; Sanna, Carlo (2024)
  On the number of residues of certain second-order linear recurrences. In: COMPTES RENDUS. MATHÉMATIQUE, vol. 362, pp. 1365-1377. ISSN 1778-3569
  Contributo su Rivista
• Sanna, Carlo (2024)
  On the distribution of the entries of a fixed-rank random matrix over a finite field. In: FINITE FIELDS AND THEIR APPLICATIONS, vol. 93, pp. 1-15. ISSN 1071-5797
  Contributo su Rivista
• Alecci, Gessica; Murru, Nadir; Sanna, Carlo (2023)
  Zeckendorf representation of multiplicative inverses modulo a Fibonacci number. In: MONATSHEFTE FÜR MATHEMATIK, vol. 201. ISSN 0026-9255
  Contributo su Rivista
• Bellini, Emanuele; Grados, Juan; Makarim, Rusydi H.; Sanna, Carlo (2023)
  Finding differential trails on ChaCha by means of state functions. In: INTERNATIONAL JOURNAL OF APPLIED CRYPTOGRAPHY, vol. 4, pp. 156-175. ISSN 1753-0563
  Contributo su Rivista
• Sanna, Carlo (2023)
  On the Inverse of a Fibonacci Number Modulo a Fibonacci Number Being a Fibonacci Number. In: MEDITERRANEAN JOURNAL OF MATHEMATICS, vol. 20, pp. 1-11. ISSN 1660-5446
  Contributo su Rivista
• Jha, Abhishek; Sanna, Carlo (2023)
  On the greatest common divisor of n and the nth Fibonacci number, II. In: CANADIAN MATHEMATICAL BULLETIN, vol. 66, pp. 617-625. ISSN 0008-4395
  Contributo su Rivista
• Sanna, Carlo (2023)
  A note on the distribution of weights of fixed-rank matrices over the binary field. In: FINITE FIELDS AND THEIR APPLICATIONS, vol. 87. ISSN 1071-5797
  Contributo su Rivista
• Barbero, Stefano; Bellini, Emanuele; Sanna, Carlo; Verbel, Javier (2022)
  Practical complexities of probabilistic algorithms for solving Boolean polynomial systems. In: DISCRETE APPLIED MATHEMATICS, vol. 309, pp. 13-31. ISSN 0166-218X
  Contributo su Rivista
• Sanna, Carlo (2022)
  Membership in random ratio sets. In: INDAGATIONES MATHEMATICAE, vol. 33, pp. 1326-1333. ISSN 0019-3577
  Contributo su Rivista
• Bellini, Emanuele; Esser, Andre; Sanna, Carlo; Verbel, Javier (2022)
  MR-DSS – Smaller MinRank-Based (Ring-)Signatures. In: Post-Quantum Cryptography, 13th International Workshop, PQCrypto 2022, pp. 144-169. ISSN 0302-9743. ISBN: 978-3-031-17233-5
  Contributo in Atti di Convegno (Proceeding)
• Sanna, Carlo (2022)
  On the number of residues of linear recurrences. In: RESEARCH IN NUMBER THEORY, vol. 8. ISSN 2363-9555
  Contributo su Rivista
• Sanna, Carlo (2022)
  On the exponents in the factorizations of r consecutive numbers. In: QUAESTIONES MATHEMATICAE, vol. 45, pp. 1221-1228. ISSN 1607-3606
  Contributo su Rivista
• Barbero, Stefano; Bazzanella, Danilo; Capuano, Laura; Mori, Andrea; Murru, Nadir; Sanna, ..., a cura di (2022)
  Proceedings of the 5th Number Theory Meeting. Torino, Università di Torino, P. 95
  Curatele
• Sanna, Carlo; Shallit, Jeffrey; Zhang, Shun (2022)
  The largest entry in the inverse of a Vandermonde matrix. In: LINEAR & MULTILINEAR ALGEBRA, vol. 70, pp. 5634-5641. ISSN 0308-1087
  Contributo su Rivista
• Jha, Abhishek; Sanna, Carlo (2022)
  Greatest common divisors of shifted primes and Fibonacci numbers. In: RESEARCH IN NUMBER THEORY, vol. 8. ISSN 2363-9555
  Contributo su Rivista
• Bellini, Emanuele; Makarim, Rusydi H.; Sanna, Carlo; Verbel, Javier (2022)
  An Estimator for the Hardness of the MQ Problem. In: 13th International conference on cryptology in Africa - AFRICACRYPT 2022, Fes (Morocco), July 18-20, 2022, pp. 323-347. ISSN 0302-9743. ISBN: 978-3-031-17432-2
  Contributo in Atti di Convegno (Proceeding)
• Sanna, Carlo (2022)
  A survey on coefficients of cyclotomic polynomials. In: EXPOSITIONES MATHEMATICAE. ISSN 0723-0869
  Contributo su Rivista
• Sanna, Carlo (2022)
  On the l.c.m. of shifted Lucas numbers. In: INDAGATIONES MATHEMATICAE. ISSN 0019-3577
  Contributo su Rivista
• Sanna, Carlo (2022)
  On the divisibility of the rank of appearance of a Lucas sequence. In: INTERNATIONAL JOURNAL OF NUMBER THEORY, vol. 18, pp. 2145-2156. ISSN 1793-0421
  Contributo su Rivista