## JOURNAL

- [1] Y. Kodera, M. A. Ali, T. Miyazaki, T. Kusaka, Y. Nogami, S. Uehara and R. H. M. Zaragoza, "Algebraic Group Structure of the Random Number Generator: Theoretical Analysis of NTU sequence(s)," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E102-A, 12, Dec. 2019 (to appear).
- [2] Y. Kodera, M. Kuribayashi, T. Kusaka and Y. Nogami, "Advanced Searchable Encryption: An Adaptively Secure Keyword Search for Matrix-type Storages," International Journal of Networking and Computing, vol. 9, no. 2, pp. 171-187, Sep. 2019.
- [3] B. Chandrasekaran, R. Balakrishnan and Y. Nogami, "F‐CPABE: An Efficient and Secure Data Communication with Policy Updating in Wireless Body Area Networks," ETRI Journal, vol. 0, no. 0, pp. 1-8, Jun. 2019.
- [4] R. Ueno, N. Homma, Y. Nogami and T. Aoki, "Highly Efficient GF(2^8) Inversion Circuit Based on Hybrid GF Representations," Journal of Cryptographic Engineering, vol. 9, no. 2, pp. 101-113, Jun. 2019.
- [5] T. Kusaka, "Analysis of a Sufficient Condition on the Optimality of a Decoded Codeword of Soft-Decision Decodings for Binary Linear Codes on a 4-level Quantization over an AWGN Channel," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E101-A, no. 8, pp. 570-576, Mar. 2018.
- [6] B. Chandrasekaran, Y. Nogami and R. Balakrishnan, "An Efficient Hierarchical Multi-Authority Attribute Based Encryption Scheme for Profile Matching using a Fast Ate Pairing in Cloud Environment," Journal of Communications Software and Systems, vol. 14, no. 2, pp. 151-156, Jun. 2018.
- [7] Y. Hashimoto, Md. A. Khandaker, Y. Kodera, T. Park, T. Kusaka, H. Kim and Y. Nogami, "An Implementation of ECC with Twisted Montgomery Curve over 32nd Degree Tower Field on Arduino Uno," International Journal of Networking and Computing, vol. 8, no. 2, pp. 341-350, Jul. 2018.
- [8] Md. A. Ali, Y. Kodera, T. Park, T. Kusaka, Y. Nogami and H. Kim, "Relation between the Irreducible Polynomials that Generates the Same Binary Sequence Over Odd Characteristic Field," Journal of Information and Communication Convergence Engineering, vol. 16, no. 3, pp. 166-172, Mar. 2018.
- [9] Y. Kodera, T. Miyazaki, T. Kusaka, A. M. Arshad, Y. Nogami and S. Uehara, "Uniform Binary Sequence Generated Over Odd Characteristic Field," International Journal of Information and Electronics Engineering, vol. 8, no. 1, pp. 5-9, Mar. 2018.
- [10] B. Chandrasekaran, R. Balakrishnan and Y. Nogami, "Secure Data Communication using File Hierarchy Attribute Based Encryption in Wireless Body Area Network," Journal of Communications Software and Systems, vol. 14, no. 1, pp. 75-81, Apr. 2018.
- [11] S. Ueda, K. Ikuta, T. Kusaka, M. A. Khandaker, M. A. Arshad and Y. Nogami, "An Extended Generalized Minimum Distance Decoding for Binary Linear Codes on a 4-level Quantization over an AWGN Channel," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E101-A, no. 8, pp. 1235-1244, Aug. 2018.
- [12] K. Tsuchiya, C. Ogawa, Y. Nogami and S. Uehara, "Linear Complexity of Geometric Sequences Defined by Cyclotomic Classes and Balanced Binary Sequences Constructed by the Geometric Sequences," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E101-A, no. 12, pp. 2382-2391, Dec. 2018.
- [13] T. Kusaka, "A Study on the Error Performance of Soft-Decision Decodings for Binary Linear Codes on a 4-level Quantization over an AWGN Channel," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E100-A, no. 12, pp. 3016-3022, Dec. 2017.
- [14] Md. A. Ali, E. Ali, Md. A. Habib, Md. Nadim, T. Kusaka and Y. Nogami, "Pseudo Random Ternary Sequence and Its Autocorrelation Property Over Finite Field," International Journal of Computer Network and Information Security, vol. 9, no. 9, pp. 54-63, Sep. 2017.
- [15] Md. A. Khandaker and Y. Nogami, "An Improvement of Scalar Multiplication by Skew Frobenius Map with Multi-Scalar Multiplication for KSS Curve," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E100-A, no. 9, pp. 1838-1845, Sep. 2017.
- [16] Md. A. Khandaker, T. Park, Y. Nogami and H. Kim, "A Comparative Study of Twist Property in KSS Curves of Embedding Degree 16 and 18 from the Implementation Perspective," Journal of Information and Communication Convergence Engineering, vol. 15, no. 2, pp. 97-103, Jun. 2017.
- [17] K. Tsuchiya, Y. Nogami and S. Uehara, "Interleaved Sequence of Geometric Sequences Binarized with Legendre Symbol of Two Types," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E100-A, pp. 12, pp. 2720-2727, Sep. 2017.
- [18] K. Tsuchiya and Y. Nogami, "Long Period Sequences Generated by the Logistic Map over Finite Fields with Control Parameter Four," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E100-A, no. 9, pp. 1816-1824, Mar. 2017.
- [19] B. Nasima, Y. Nogami, S. Uehara and R. H. M. Zaragoza, "Multi-Valued Sequences Generated by Power Residue Symbols over Odd Characteristic Fields," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E100-A, no. 4, pp. 922-929, Apr. 2017.
- [20] H. Seo, Z. Liu, Y. Nogami, J. Choi and H. Kim, "Hybrid Montgomery Reduction," ACM Transactions on Embedded Computing Systems, vol. 15, no. 3, pp. 58, May 2016.
- [21] S. Kajitani, Y. Nogami, S. Miyoshi, T. Austin, Md. A. Khandaker, N. Begum and S. Duquesne, "Web-based Volunteer Computing for Solving the Elliptic Curve Discrete Logarithm Problem," International Journal of Networking and Computing, vol. 6, no. 2, pp. 181-194, Jul. 2016.
- [22] Z. Liua, H. Seo, C. N. Chen, Y. Nogami, T. Park, J. Choi and H. Kim, "Secure GCM Implementation on AVR," Discrete Applied Mathematics, Nov. 2016.
- [23] H. Seo, Z. Liu, Y. Nogami, J. Choi and H. Kim, "Binary Field Multiplication on ARMv8," Journal of Security and Communication Networks, vol. 24, online, Feb. 2016.
- [24] Y. Nogami, S. Uehara, K. Tsuchiya, N. Begum, H. Ino and R. H. M. Zaragoza, "A Multi-value Sequence Generated by Power Residue Symbol and Trace Function over Odd Characteristic Field," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E99-A, no. 12, pp. 2226-2237, Dec. 2016.
- [25] Y. Nogami, H. Kagotani, K. Iokibe, H. Miyatake and T. Narita, "FPGA Implementation of Various Elliptic Curve Pairings over Odd Characteristic Field with Non Super Singular Curves," IEICE Transactions on Information and Systems, vol. E99-D, no. 4, pp. 805-815, Apr. 2016.
- [26] Y. Nogami and T. H. Austin, "Associative Rational Points for Improving Random Walks with Collision-based Attack on Elliptic Curve Discrete Logarithm Problem," International Journal of Computer and Information Technology, vol. 4, no. 4, pp. 728-732, 2015.
- [27] H. Seo, Z. Liu, Y. Nogami, J. Choi and H. Kim, "Montgomery Multiplication and Squaring for Optimal Prime Fields," Computers & Security, vol. 49, Elsevier, online, Mar. 2015.
- [28] Y. Miyakoshi, S. Yasuda, M. Fukushi, K. Watanabe and Y. Nogami, "Dynamic Job Scheduling Method based on Expected Probability of Completion of Voting in Volunteer Computing ," IEICE Transactions on Information and Systems, vol. E98-D, no. 12, pp. 2132-2140, Dec. 2015.
- [29] Y. Nogami, K. Tada and S. Uehara, "A Geometric Sequence Binarized with Legendre Symbol over Odd Characteristic Field and Its Properties," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E97-A, no. 12, pp. 2336-2342, Dec. 2014.
- [30] Y. Takai, K. Nekado and Y. Nogami, "The Pollards Rho Method with XTR Group on G3 over Baretto-Naehrig Curve," Journal of Next Generation Information Technology, vol. 4, no. 3, pp. 112-118, 2013.
- [31] T. Sumo and Y. Nogami, "The Power Root Calculation for The Exponent Inversion Problem," Journal of Next Generation Information Technology, vol. 4, no. 3, pp. 105-111, 2013.
- [32] Y. Nogami, H. Kato, K. Nekado, S. Uehara and Y. Morikawa, "Finding a Basis Conversion Matrix Using a Polynomial Basis Derived by a Small Multiplicative Cyclic Group," IEEE Transactions on Information Theory, vol. 58, no. 7, pp. 4936-4947, Mar. 2012.
- [33] T. Kusaka, R. Yokoyama and T. Fujiwara, "A Recursive Method for Vector Generation in Non-Increasing Order of its Likelihood for all Binary Vectors and its Application for Linear Block Code Decodings," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E95-A, no. 4, pp. 801-810, Apr. 2012.
- [34] K. Nekado, Y. Nogami, H. Kato and Y. Morikawa, "Cyclic Vector Multiplication Algorithm and Existence Probability of Gauss Period Normal Basis," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E94-A, no. 6, pp. 172-179, Jan. 2011.
- [35] Y. Sakemi, Y. Nogami, S. Takeuchi and Y. Morikawa, "An Improvement of Twisted Ate Pairing Efficient for Multi-Pairing and Thread Computing," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E94-A, no. 6, pp. 1356-1367, Jun. 2011.
- [36] Y. Nogami, K. Nekado, T. Toyota, N. Hongo and Y. Morikawa, "Mixed Bases for Efficient Inversion in F((2^2)^2)^2 and Conversion Matrices of SubBytes of AES," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E94-A, no. 6, pp. 1318-1327, 2011.
- [37] T. Miyazaki, S. Araki, Y. Nogami and S. Uehara, "Rounding Logistic Maps over Integers and the Properties of the Generated Sequences," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E94-A, no. 9, pp. 1817-1825, 2011.
- [38] Y. Sakemi, H. Kato, Y. Nogami and Y. Morikawa, "An Improvement of Twisted Ate Pairing with Barreto-Naehrig Curve by Using Frobenius Mapping," Convergence and Hybrid Information Technologies, pp. 335-342, 2010.
- [39] Y. Nogami, M. Akane, Y. Sakemi and Y. Morikawa, "Efficient Pairings on Twisted Elliptic Curve," Convergence and Hybrid Information Technologies, pp. 317-334, 2010.
- [40] H. Nasu, Y. Nogami, Y. Morikawa, S. Kobayashi and T. Sugimura, "Systematic Generation of An Irreducible Polynomial of An Arbitrary Degree m over Fp Such That p > m," Convergence and Hybrid Information Technologies, pp. 303-316, Mar. 2010.
- [41] S. Kobayashi, Y. Nogami and T. Sugimura, "A Relation between Self-Reciprocal Transformation and Normal Basis over Odd Characteristic Field," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E93-A, no. 11, pp. 1923-1931, 2010.
- [42] H. Kato, Y. Nogami, T. Yoshida, K. Nekado, S. Takeuchi and Y. Morikawa, "An Improvement of Cyclic Vector Multiplication Algorithm," Convergence and Hybrid Information Technologies, pp. 343-350, Mar. 2010.
- [43] A. Sudarsono, T. Nakanishi, Y. Nogami and N. Funabiki, "Anonymous IEEE802.1X Authentication System Using Group Signatures," IPSJ Journal, vol. 51, no. 3, pp. 691-704, 2010.
- [44] Y. Sakemi, H. Kato, S. Takeuchi, Y. Nogami and Y. Morikawa, "Two Improvements of Twisted Ate Pairing with Barreto-Naehrig Curve by Dividing Miller," Advanced in Information Sciences and Service Sciences, vol. 2, no. 4, pp. 1-13, 2010.
- [45] Y. Nogami, R. Namba and Y. Morikawa, "Finding a Basis Conversion Matrix via Prime Gauss Period Normal Basis," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E92-A, no. 6, pp. 1500-1507, Jun. 2009.
- [46] H. Kato, Y. Nogami, T. Yoshida and Y. Morikawa, "A Multiplication Algorithm in Fpm Such That p > m with a Special Class of Gauss Period Normal Bases," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E92-A, no. 1, pp. 173-181, Jan. 2009.
- [47] Y. Nogami, Y. Sakemi, T. Okimoto, K. Nekado, M. Akane and Y. Morikawa, "Scalar Multiplication Using Frobenius Expansion over Twisted Elliptic Curve for Ate Pairing Based Cryptography," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E92-A, no. 1, pp. 182-189, Jan. 2009.
- [48] M. Akane, Y. Nogami and Y. Morikawa, "Fast Ate Pairing Computation of Embedding Degree 12 Using Subfield-Twisted Elliptic Curve," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E92-A, no. 2, pp. 508-516, Feb. 2009.
- [49] Y. Nogami, Y. Sakemi, H. Kato, M. Akane and Y. Morikawa, "Integer Variable X-Based Cross Twisted Ate Pairing and Its Optimization for Barreto-Naehrig Curve," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E92-A, no. 8, pp. 1859-1867, Aug. 2009.
- [50] K. Yasuhara and T. Kusaka, "Design and Implementation of Dynamic Autonomous Distributed Connection Switching Function without Data Loss in PeerCast(in Japanese)," IEICE Transactions on Information and Systems, vol. J92-D, no. 9, pp. 1677-1681, Sep. 2009.
- [51] Y. Nogami, H. Kato, K. Nekado and Y. Morikawa, "Efficient Exponentiation in Extensions of Finite Fields without Fast Frobenius Mappings," ETRI Journal, vol. 30, no. 6, pp. 818-825, Dec. 2008.
- [52] Y. Nogami, R. Namba and Y. Morikawa, "Basis Translation Matrix between Two Isomorphic Extension Fields via Optimal Normal Basis," ETRI Journal, vol. 30, no. 2, pp. 326-334, Apr. 2008.
- [53] Y. Nogami, R. Namba and Y. Morikawa, "A Necessary Condition for Gauss Period Normal Bases to Be the Same Normal Basis," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E91-A, no. 4, pp. 1229-1232, Apr. 2008.
- [54] Y. Nogami, H. Nasu, Y. Morikawa and S. Uehara, "A Method for Constructing A Self-Dual Normal Basis in Odd Characteristic Extension Fields," Finite Fields and Their Applications, vol. 14, no. 4, pp. 867-876, Nov. 2008.
- [55] S. Uehara, S. Jono and Y. Nogami, "Zero Correlation Distribution of ZCZ Sequences Obtained from a Perfect Sequence and a Unitary Matrix," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E91-A, no. 12, pp. 3745-3748, Dec. 2008.
- [56] H. Nasu, Y. Nogami, S. Uehara, R. Namba and Y. Morikawa, "A Method for Constructing A Pseudo Self-Dual Normal Basis," Cybernetics and Systems (Taylor & Francis), vol. 39, no. 6, pp. 563-582, 2008.
- [57] H. Kato, Y. Nogami, T. Yoshida and Y. Morikawa, "Cyclic Vector Multiplication Algorithm Based on a Special Class of Gauss Period Normal Basis," ACM Transactions on Embedded Computing Systems, vol. 29, no. 6, pp. 769-778, Dec. 2007.
- [58] Y. Nogami, M. Obara and Y. Morikawa, "A Method for Distinguishing the Two Candidate Elliptic Curves in the Complex Multiplication Method," ETRI Journal, vol. 28, no. 6, pp. 745-760, Dec. 2006.
- [59] F. Wang, Y. Nogami and Y. Morikawa, "An Efficient Square Root Computation in Finite Fields GF(p2d)," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E88-A, no. 10, pp. 2792-2799, Oct. 2005.
- [60] Y. Nogami, S. Shinonaga and Y. Morikawa, "Fast Implementation of Extension Fields with TypeII ONB and Cyclic Vector Multiplication Algorithm," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E88-A, no. 5, pp. 1200-1208, May 2005.
- [61] K. Makita, Y. Nogami and T. Sugimura, "Generating Prime Degree Irreducible Polynomials by Using Irreducible All-One Polynomial over F2 ," Electronics and Communications in Japan, Part 3, vol. 88, no. 7, pp. 23-32, Jul. 2005.
- [62] Y. Nogami, A. Saito and Y. Morikawa, "Finite Extension Field with Modulus of All-One Polynomial and Representation of Its Elements for Fast Arithmetic Operations," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E86-A, no. 9, pp. 2376-2387, Sep. 2003.
- [63] J. Asatani, T. Koumoto, K. Tomita and T. Kasami, "Reduced Complexity Iterative Decoding Using a Sub-optimum Minimum Distance Search," IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, vol. E86-A, no. 10, pp. 2596-2600, Oct. 2003.