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Determination of Dual Distances for a Kind of Perfect Mixed Codes

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Algorithmic Aspects in Information and Management (AAIM 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11343))

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Abstract

A series of mixed perfect codes with minimal distances \(d=3\) has been constructed in term of the partitions of vector space over finite field \(\mathbb {F}_{p}\) by B.Lindström. In this paper the minimal distance of the dual codes of a certain class of such perfect codes has been determined. As an application of this result we constructed a series of good orthogonal arrays with mixed levels and good inhomogeneous asymmetric quantum codes.

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Authors and Affiliations

  1. Department of Mathematics, CUNY Graduate Center, New York, NY, USA

    Tianyi Mao

  2. Sam’s Club Technology Research Team, Dallas, TX, USA

    Tianyi Mao

Authors
  1. Tianyi Mao
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Correspondence to Tianyi Mao .

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Editors and Affiliations

  1. The University of Texas at Dallas, Richardson, TX, USA

    Shaojie Tang

  2. University of Texas at Dallas, Richardson, TX, USA

    Ding-Zhu Du

  3. University of California, Davis, Davis, CA, USA

    David Woodruff

  4. Texas A&M University, College Station, TX, USA

    Sergiy Butenko

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Mao, T. (2018). Determination of Dual Distances for a Kind of Perfect Mixed Codes. In: Tang, S., Du, DZ., Woodruff, D., Butenko, S. (eds) Algorithmic Aspects in Information and Management. AAIM 2018. Lecture Notes in Computer Science(), vol 11343. Springer, Cham. https://doi.org/10.1007/978-3-030-04618-7_8

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  • DOI: https://doi.org/10.1007/978-3-030-04618-7_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04617-0

  • Online ISBN: 978-3-030-04618-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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