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A Class of Three-Weight and Four-Weight Codes

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Coding and Cryptology (IWCC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5557))

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Abstract

In this paper, a class of three-weight linear codes and a class of four-weight linear codes over GF(q) are presented and their weight distributions are determined. These codes are punctured from the irreducible cyclic codes, and contain optimal codes. Their duals contain also optimal codes.

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Author information

Authors and Affiliations

  1. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China

    Cunsheng Ding

Authors
  1. Cunsheng Ding
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Editor information

Editors and Affiliations

  1. National Computer Systems, Center for Information Technology,, 73 Science Park Drive, S0511, Republic of Singapore

    Yeow Meng Chee  & San Ling  & 

  2. National University of Defense Technology, 411073, Changshu Hunan, China

    Chao Li

  3. National Computer Systems, Center for Information Technology, 73 Science Park Drive, S0511, Republic of Singapore

    Huaxiong Wang  & Chaoping Xing  & 

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© 2009 Springer-Verlag Berlin Heidelberg

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Ding, C. (2009). A Class of Three-Weight and Four-Weight Codes. In: Chee, Y.M., Li, C., Ling, S., Wang, H., Xing, C. (eds) Coding and Cryptology. IWCC 2009. Lecture Notes in Computer Science, vol 5557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01877-0_4

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  • DOI: https://doi.org/10.1007/978-3-642-01877-0_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01813-8

  • Online ISBN: 978-3-642-01877-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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