Updated on 2024/02/21
Graduate School of Science Department of Mathematics
Professor 2022.04 - Now
School of Science Department of Mathematics
Professor 2022.04 - Now
学術博士 （ Others ）
Informatics / Theory of informatics / Coding Theory
Natural Science / Applied mathematics and statistics / Algebraic Coding Theory and Finite Geometry
Natural Science / Basic mathematics / Algebraic Coding Theory and Finite Geometry
optimal linear codes problem
extendability of linear codes
coding theory and finite geometry
Extendability of Linear Codes
Finite Geometry
Griesmer Codes
Error-correcting codes and finite geometries
Optimal Linear Codes
新しい線形符号の構成に関する研究
線形符号の拡張可能性に関する研究
最適線形符号の研究
Study on optimal linear codes through projective geometry
optimal linear codes, Griesmer bound, finite projective space, extension of a linear code, pseudo-cyclic codes
2005.04 - Now
IEICE
2011.04 - Now
Japan Mathematical Society
1991.06 - Now
Locally Two-weight Property for Linear Codes and Its Application Reviewed
Hitoshi Kanda, Atsuya Kato, Tatsuya Maruta
Serdica Journal of Computing 17 ( 2 ) 95 - 106 2024.01（ ISSN:1312-6555 ） （ eISSN:1314-7897 ）
Nonexistence of some ternary linear codes with minimum weight -2 modulo 9 Reviewed
Toshiharu Sawashima, Tatsuya Maruta
Advances in Mathematics of Communications 17 ( 6 ) 1338 - 1357 2023.12（ ISSN:1930-5346 ） （ eISSN:1930-5338 ）
On the construction of optimal linear codes of dimension four Reviewed
A. Kato, T. Maruta, K. Nomura
Bulletin of the Korean Mathematical Society 60 ( 5 ) 1237 - 1252 2023.09
On the extendability of quaternary linear codes with four weights modulo 16 Reviewed
H. Kanda, M. Shirouzu, K. Maehara, T. Maruta
Discrete Mathematics 345 113102 - 113102 2022.11
On the nonexistence of ternary linear codes attaining the Griesmer bound Reviewed
Daiki Kawabata, Tatsuya Maruta
Designs, Codes and Cryptography 90 ( 4 ) 947 - 956 2022.04（ ISSN:0925-1022 ） （ eISSN:1573-7586 ）
Nonexistence of some ternary linear codes Reviewed
Toshiharu Sawashima, Tatsuya Maruta
Discrete Mathematics 344 ( 11 ) 112572 - 112572 2021.11（ ISSN:0012-365X ）
On the non-trivial minimal blocking sets in binary projective spaces Reviewed
Nanami Bono, Tatsuya Maruta, Keisuke Shiromoto, Kohei Yamada
Finite Fields and Their Applications 72 101814 - 101814 2021.06（ ISSN:1071-5797 ）
On optimal linear codes of dimension 4 Reviewed
Nanami BONO, Maya FUJİİ, Tatsuya MARUTA
Journal of Algebra Combinatorics Discrete Structures and Applications 73 - 90 2021.05（ eISSN:2148-838X ）
Optimal Linear Codes Over the Field of Order 7 Reviewed
K. Nomura, T. Maruta
2020 Algebraic and Combinatorial Coding Theory (ACCT), IEEE Xplore 90 - 94 2021.03
A Conjecture on Optimal Ternary Linear Codes Reviewed
D. Kawabata, T. Maruta
2020 Algebraic and Combinatorial Coding Theory (ACCT), IEEE Xplore 90 - 94 2021.03
Geometric extending of divisible codes and construction of new linear codes Reviewed
Yuto Inoue, Tatsuya Maruta
Finite Fields and Their Applications 71 101773 - 101773 2021.03（ ISSN:1071-5797 ）
Characteristic vector and weight distribution of a linear code Reviewed
Iliya Bouyukliev, Stefka Bouyuklieva, Tatsuya Maruta, Paskal Piperkov
Cryptography and Communications 13 ( 2 ) 263 - 282 2021.03（ ISSN:1936-2447 ） （ eISSN:1936-2455 ）
On the (29, 5)-Arcs in PG(2, 7) and Some Generalized Arcs in PG(2, q) Reviewed
Iliya Bouyukliev, Eun Ju Cheon, Tatsuya Maruta, Tsukasa Okazaki
Mathematics 8 ( 3 ) 320 - 320 2020.03（ eISSN:2227-7390 ）
Construction of new Griesmer codes of dimension 5 Reviewed
Y. Inoue, T. Maruta
Finite Fields and their Applications 55 231 - 237 2019.01
Nonexistence of some linear codes over the field of order four Reviewed
H. Kanda, T. Maruta
Discrete Mathematics 341 2676 - 2685 2018.10
On Critical Exponents of Dowling Matroids Reviewed
Y. Koga, T. Maruta, K. Shiromoto
Designs, Codes and Cryptography 86 1947 - 1962 2018.09
On the 3-extendability of quaternary linear codes Reviewed
H. Kanda, T. Maruta
Finite Fields and Their Applications 52 126 - 136 2018.07
Non-existence of some 4-dimensional Griesmer codes over finite fields Reviewed
Kazuki Kumegawa, Tatsuya Maruta
Journal of Algebra Combinatorics, Discrete Structures and Applications 5 ( 2 ) 2018.06
Construction of two-weight codes over finite fields and its applications Reviewed
E.J. Cheon, Y. Kageyama, S.J. Kim, N. Lee, T. Maruta
Bulletin of the Korean Mathematical Society 54 ( 3 ) 731 - 736 2017.05
On the minimum length of linear codes over the field of 9 elements Reviewed
K. Kumegawa, T. Okazaki, T. Maruta
Electronic J. Combinatorics 24 ( 1 ) 2017.03
On the geometric constructions of optimal linear codes Reviewed
Y. Kageyama, T. Maruta
Designs, Codes and Cryptography 81 469 - 480 2016.12
Nonexistence of some Griesmer codes over F_q Reviewed
K. Kumegawa, T. Maruta
Discrete Mathematics 339 525 - 521 2016.02
On the l-extendability of quaternary linear codes Reviewed
H. Kanda, T. Tanaka, T. Maruta
Finite Fields and Their Applications 35 159 - 171 2015.09
On the minimum length of linear codes over F_5 Reviewed
I. Bouyukliev, Y. Kageyama, T. Maruta
Discrete Mathematics 338 938 - 953 2015.06
On the construction of Griesmer codes of dimension 5 Reviewed
Y. Kageyama, T. Maruta
Designs, Codes and Cryptography 75 277 - 280 2015.05
Some generalizations of extension theorems for linear codes over finite fields Reviewed
T. Maruta, T. Tanaka, H. Kanda
Australasian J. Combinatorics 雑誌 60 150 2014.10
A characterization of some odd sets in projective spaces of order 4 and the extendability of quaternary linear codes Reviewed
T. Tanaka, T. Maruta
Journal of Geometry 雑誌 Springer Netherlands 105 79 2014.04
Construction of optimal linear codes by geometric puncturing Reviewed
T. Maruta
Serdica Journal of Computing 雑誌 Institute of Mathematics and Informatics, Bulgarian Academy of Sciences 7 73 2013.08
Classification of the odd sets in PG(4,4) and its application to coding theory Reviewed
T. Tanaka, T. Maruta
Applicable Algebra in Engineering, Communication and Computing 雑誌 Springer Netherlands 24 179 - 196 2013.08
Three families of multiple blocking sets in Desarguesian projective planes of even order Reviewed
A. Betten, E.J. Cheon, S.J. Kim, T. Maruta
Designs, Codes and Cryptography 雑誌 Springer Netherlands 68 49 - 59 2013.07
On the minimum length of ternary linear codes Reviewed
T. Maruta, Y. Oya
Designs, Codes and Cryptography 雑誌 Springer Netherlands 68 407 - 425 2013.07
A necessary and sufficient condition for the existence of an (n,r)-arc in PG(2,q) and its applications Reviewed
N. Hamada, T. Maruta, Y. Oya
Serdica Journal of Computing 雑誌 Institute of Mathematics and Informatics, Bulgarian Academy of Sciences 6 253 - 266 2012.12
A generalized extension theorem for linear codes Reviewed
T. Maruta, Y. Yoshida
Designs, Codes and Cryptography 雑誌 Springer Netherlands 62 121 - 130 2012.01
Extension theorems for linear codes over finite fields Reviewed
T. Maruta
Journal of Geometry 雑誌 Springer Netherlands 101 173 - 183 2011.08
Note on an improvement of the Griesmer bound for q-ary linear codes Reviewed
N. Hamada, T. Maruta
Serdica Journal of Computing 雑誌 Institute of Mathematics and Informatics, Bulgarian Academy of Sciences 5 199 - 206 2011.06
The classification of (42,6)8-arcs Reviewed
A. Betten, E.J. Cheon, S.J. Kim, T. Maruta
Advances in Mathematics of Communications 雑誌 American Institute of Mathematical Sciences 5 209 2011.05
On optimal ternary linear codes of dimension 6 Reviewed
T. Maruta, Y. Oya
Advances in Mathematics of Communications 雑誌 American Institute of Mathematical Sciences 5 505 2011.05
On optimal linear codes over F_8 Reviewed
R. Kanazawa, T. Maruta
Electronic J. Combinatorics 雑誌 Department of Mathematics of the University of Pennsylvania 18 2011.02
An improvement to the achievement of the Griesmer bound Reviewed
N. Hamada, T. Maruta
Serdica Journal of Computing 雑誌 Institute of Mathematics and Informatics, Bulgarian Academy of Sciences 4 ( 3 ) 301 - 320 2010.11
An extension theorem for [n,k,d]q codes with gcd(d,q)=2 Reviewed
Y. Yoshida, T. Maruta
Australasian J. Combinatorics 雑誌 Centre for Discrete Mathematics and Computing, The University of Queensland 48 117 2010.10
A new extension theorem for 3-weight modulo q linear codes over Fq Reviewed
E.J. Cheon, T. Maruta
Designs, Codes and Cryptography 雑誌 Springer Netherlands 52 171 - 183 2009.08
Extendability of 3-weight (mod q) linear codes over Fq Reviewed
T. Maruta, K. Okamoto
Finite Fields and their Applications 雑誌 Academic Press 15 134 - 149 2009.04
On optimal linear codes over F5 Reviewed
T. Maruta, M. Shinohara, A. Kikui
Discrete Mathematics 雑誌 Elsevier Science 309 1255 - 1272 2009.04
On the uniqueness of (48,6)-arcs in PG(2,9) Reviewed
T. Maruta, A. Kikui, Y. Yoshida
Advances in Mathematics of Communications 雑誌 American Institute of Mathematical Sciences 3 29 2009.02
Ternary linear codes and quadrics Reviewed
Y. Yoshida, T. Maruta
Electronic J. Combinatorics 雑誌 Department of Mathematics of the University of Pennsylvania 16 2009.01
New sufficient conditions for the extendability of quaternary linear codes Reviewed
T. Maruta, M. Takeda, K. Kawakami
Finite Fields and their Applications 雑誌 Academic Press 14 615 - 634 2008.07
Constructing linear codes from some orbits of projectivities Reviewed
T. Maruta, M. Shinohara, M. Takenaka
Discrete Mathematics 雑誌 Elsevier Science 308 832 - 841 2008.03
On optimal non-projective ternary linear codes Reviewed
M. Takenaka, K. Okamoto, T. Maruta
Discrete Mathematics 雑誌 Elsevier Science 308 842 - 854 2008.03
On the minimum length of some linear codes Reviewed
E.J. Cheon, T. Maruta
Designs, Codes and Cryptography 雑誌 Springer Netherlands 43 123 - 135 2007.06
Some improvements to the extendability of ternary linear codes Reviewed
T. Maruta, K. Okamoto
Finite Fields and their Applications 雑誌 Academic Press 13 259 - 280 2007.04
Geometric conditions for the extendability of ternary linear codes Reviewed
T. Maruta, K. Okamoto
Lecture Notes in Computer Science 雑誌 Springer-Verlag 3969 85 - 99 2006.03
Extendability of ternary linear codes Reviewed
T. Maruta
Designs, Codes and Cryptography 雑誌 Springer Netherlands 34 175 - 190 2005.05
Extendability of quaternary linear codes Reviewed
T. Maruta
Discrete Mathematics 雑誌 Elsevier Science 293 195 - 203 2005.04
On the minimum size of some minihypers and related linear codes Reviewed
T. Maruta
Designs, Codes and Cryptography 雑誌 Springer Netherlands 34 2005.01
The nonexistence of some ternary linear codes of dimension 6 Reviewed
T. Maruta
Discrete Mathematics 雑誌 Elsevier Science 288 125 - 133 2004.11
A new extension theorem for linear codes Reviewed
T. Maruta
Finite Fields and their Applications 雑誌 Academic Press 10 674 - 685 2004.10
On optimal codes over the field with five elements Reviewed
I.N. Landjev, A. Rousseva, T. Maruta, R. Hill
Designs, Codes and Cryptography 雑誌 Kluwer Academic Publishers 29 165 - 175 2003.07
Extendability of linear codes over GF(q) with minimum distance d, gcd(d,q)=1, Reviewed
T. Maruta
Discrete Mathematics 雑誌 Elsevier Science 266 377 - 385 2003.05
The nonexistence of some quaternary linear codes of dimension 5 Reviewed
T. Maruta
Discrete Mathematics 雑誌 Elsevier Science 238 99 - 113 2001.07
On the extendability of linear codes Reviewed
T. Maruta
Finite Fields and their Applications 雑誌 Academic Press 7 350 - 354 2001.04
On the nonexistence of q-ary linear codes of dimension five Reviewed
T. Maruta
Designs, Codes and Cryptography 雑誌 Kluwer Academic Publishers 22 165 - 177 2001.03
On the minimum length of q-ary linear codes of dimension four Reviewed
T. Maruta
Discrete Mathematics 雑誌 Elsevier Science 208/209 427 - 435 1999.10
On the minimum length of quaternary linear codes of dimension five Reviewed
I.N. Landjev, T. Maruta
Discrete Mathematics 雑誌 Elsevier Science 202 145 - 161 1999.05
A characterization of some minihypers and its application to linear codes Reviewed
T. Maruta
Geometriae Dedicata 雑誌 Kluwer Academic Publishers 74 305 - 311 1999.03
The nonexistence of [116,5,85]4 codes and [187,5,139]4 codes Reviewed
T. Maruta
Proceedings of the 2nd International Workshop on Optimal Codes and Related Topics 雑誌 Institute of Mathematics of Bulgarian Academy of Sciences 168 - 174 1998.06
On the existence of cyclic and pseudo-cyclic MDS codes Reviewed
T. Maruta
European Journal of Combinatorics 雑誌 Academic Press 19 159 - 174 1998.02
On the achievement of the Griesmer bound Reviewed
T. Maruta
Designs, Codes and Cryptography 雑誌 Kluwer Academic Publishers 12 83 - 87 1997.09
Cyclic arcs and pseudo-cyclic MDS codes Reviewed
T. Maruta
Discrete Mathematics 雑誌 Elsevier Science 174 199 - 205 1997.09
On the minimum length of q-ary linear codes of dimension five Reviewed
T. Maruta
Geometriae Dedicata 雑誌 Kluwer Academic Publishers 65 299 - 304 1997.05
Optimal linear codes of dimension 4 over F_5 Reviewed
I. Boukliev, S. Kapralov, T. Maruta, M. Fukui
IEEE Transactions on Information Theory 雑誌 Institute of Electrical and Electronics Engineers, Inc. 43 308 - 313 1997.01
On the non-existence of linear codes attaining the Griesmer bound Reviewed
T. Maruta
Geometriae Dedicata 雑誌 Kluwer Academic Publishers 60 1996.03
On the nonexistence of quaternary [51,4,37] codes Reviewed
I. Landgev, T. Maruta, R. Hill
Finite Fields and their Applications 雑誌 Academic Press 2 96 - 110 1996.01
Cyclic and pseudo-cyclic MDS codes of dimension three Reviewed
T. Maruta
Atti del Seminario Matematico e Fisico dell' Universita di Modena 雑誌 University of Modena XLIII 529 - 533 1995.12
Optimal pseudo-cyclic codes and caps in PG(3,q) Reviewed
T. Maruta
Geometriae Dedicata 雑誌 Kluwer Academic Publishers 54 263 - 266 1995.02
On the existence of pseudo-cyclic MDS codes of dimension three Reviewed
T. Maruta
Atti del Seminario Matematico e Fisico dell' Universita di Modena 雑誌 University of Modena XLI 457 - 471 1993.12
On the uniqueness of cyclic MDS codes Reviewed
T. Maruta
Atti del Seminario Matematico e Fisico dell' Universita di Modena 雑誌 University of Modena XL 83 - 88 1992.12
The discriminant of a cubic curve Reviewed
H. Kaneta, T. Maruta
Advances in finite geometries and designs 著書 Oxford University Press 237 - 249 1991.08
A geometric approach to semi-cyclic codes Reviewed
T. Maruta
Advances in finite geometries and designs 著書 Oxford University Press 311 - 318 1991.08
On the uniqueness of (q+1)-arcs of PG(5,q), q=2＾h , h>=4 Reviewed
T. Maruta, H. Kaneta
Mathematical Proceedings of the Cambridge Philosophical Society 雑誌 University of Cambridge 110 91 - 94 1991.07
On Singleton arrays and Cauchy matrices Reviewed
T. Maruta
Discrete Mathematics 雑誌 Elsevier Science 81 33 - 36 1990.02
An algebraic geometrical proof of the extendability of q-arcs in PG(3,q) with q even Reviewed
H. Kaneta, T. Maruta
Simon Stevin 雑誌 Belgian Mathematical Society 63 363 - 366 1989.12
An elementary proof and an extension of Thas' theorem on k-arcs Reviewed
H. Kaneta, T. Maruta
Mathematical Proceedings of the Cambridge Philosophical Society 雑誌 University of Cambridge 105 159 - 162 1989.11
Singleton arrays in coding theory Reviewed
T. Maruta, I. Kikumasa, H. Kaneta
Bulletin of the Australian Mathematical Society 雑誌 Australian Mathematical Society 37 333 - 335 1988.10
On the minimal 2-blocking sets in PG (5,2) Domestic conference
Yusuke Miura, Tatsuya Maruta
Group, Algebra, Language and Related Areas in Computer Science 2024.02 Research Institute for Mathematical Science, Kyoto University
On the non-existence of q-ary linear codes with minimum weight d ≡ -1 mod q International conference
Tatsuya Maruta
The 45th Australasian Combinatorics Conference (45ACC) 2023.12
On the non-existence of linear codes over the field of even order Domestic conference
2022.12
On the achievement of the Griesmer bound Domestic conference
D. Kawabata, T. Maruta
2022.09
Coding Theory and Finite Geometry
Geometric approach to solve the optimal linear codes problem
Grant-in-Aid for Scientific Research(C) 2028
Geometric approach to solve the optimal linear codes problem
Grant-in-Aid for Scientific Research(C) 2027
Geometric approach to solve the optimal linear codes problem
Grant-in-Aid for Scientific Research(C) 2026
Geometric approach to solve the optimal linear codes problem
Grant-in-Aid for Scientific Research(C) 2025
マトロイドの臨界問題の新展開と解決への複合的アプローチ
Grant-in-Aid for Scientific Research(B) 2024
Geometric approach to solve the optimal linear codes problem
Grant-in-Aid for Scientific Research(C) 2024
線形符号の拡張可能性と誤り訂正限界に関する幾何学的研究
Grant-in-Aid for Scientific Research(C) 2023
マトロイドの臨界問題の新展開と解決への複合的アプローチ
Grant-in-Aid for Scientific Research(B) 2023
マトロイドの臨界問題の新展開と解決への複合的アプローチ
Grant-in-Aid for Scientific Research(B) 2022
線形符号の拡張可能性と誤り訂正限界に関する幾何学的研究
Grant-in-Aid for Scientific Research(C) 2022
2023 Number of researchers：1
2022 Number of researchers：1
情報理論
2024 Weekly class Undergraduate
数学特別研究2A
2024 Intensive lecture Graduate school
数学特別研究1A
2024 Intensive lecture Graduate school
数学概論B
2024 Weekly class Graduate school
数学特別研究5A
2024 Intensive lecture Graduate school
数学特別研究4A
2024 Intensive lecture Graduate school
数学特別研究3A
2024 Intensive lecture Graduate school
数理科学特別研究VA
2024 Intensive lecture Graduate school
情報理論
2024 Weekly class Undergraduate
数学概論A
2023 Weekly class Graduate school
線形代数I
2023 Weekly class Graduate school
線形代数1
2023 Weekly class Graduate school
数理科学卒業研究
2023 Intensive lecture Undergraduate
数理科学演習I
2023 Intensive lecture Undergraduate
情報理論
2023 Weekly class Undergraduate
数理科学演習II
2023 Intensive lecture Undergraduate
符号理論
2023 Weekly class Undergraduate
生命環境科学概論
2023 Intensive lecture Undergraduate
線形代数演習
2023 Weekly class Undergraduate
数学特別研究2B
2023 Intensive lecture Graduate school
数学特別研究1B
2023 Intensive lecture Graduate school
数学特別研究1A
2022 Intensive lecture Graduate school
海外特別研究1 （中百舌鳥）
2022 Intensive lecture Graduate school
数学特別研究1B （中百舌鳥）
2022 Intensive lecture Graduate school
符号理論特論
2022 Weekly class Graduate school
情報理論
2022 Weekly class Undergraduate
符号理論
2022 Weekly class Undergraduate
数理構造論ゼミナールB
2022 Intensive lecture Graduate school
線形代数演習生命・理学
2022 Weekly class Undergraduate
生命環境科学概論（理学類）
2022 Weekly class Undergraduate
Introduction to Life, Environment, and Advanced Sciences
2021
Exercises in Linear Algebra
2021
Linear Algebra II
2021
Linear Algebra I
2021
Coding Theory
2021
Information Theory
2021
Information Theory
2021
2023
Number of graduate students presentations：3
2022
Number of graduate students presentations：2