Designs, Codes and Cryptography

, Volume 73, Issue 1, pp 47–54 | Cite as

Construction of codes from Arakelov geometry

  • Tohru Nakashima


We give a construction of the codes from Hermitian vector bundles on an arithmetic curve generalizing the number field codes introduced by Guruswami and Lenstra. Using Arakelov geometry, we give an estimate of the parameters of these codes.


Algebraic geometric codes Number field codes Arakelov geometry 

Mathematics Subject Classification (2010)

94B27 14G40 14H60 



The author was supported in part by Grant-in-Aid for Scientific Research (C)(24540052).


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of Mathematical and Physical SciencesFaculty of Science, Japan Women’s UniversityMejirodai, Bunkyoku, TokyoJapan

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