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A New Class of Ternary Cocyclic Hadamard Codes

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

 We present a new construction for p-ary codes meeting the Plotkin bound, for any odd prime p, from any planar function on the additive group of GF(p a). We use the Coulter-Matthews planar functions with p=3 to construct new families of ternary cocyclic codes, and compute their dimensions for a≤6.

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Authors and Affiliations

  1. Department of Mathematics, RMIT University, Melbourne VIC 3001, Australia, , , , , , AU

    K. J. Horadam

  2. Department of Computer Science, University of Melbourne, Parkville VIC 3052, Australia, , , , , , AU

    P. Udaya

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  1. K. J. Horadam
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  2. P. Udaya
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Received: May 23, 2002; revised version: March 27, 2003

Keywords: Plotkin bound, Cocyclic code, Hadamard code, Planar function.

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Horadam, K., Udaya, P. A New Class of Ternary Cocyclic Hadamard Codes. AAECC 14, 65–73 (2003). https://doi.org/10.1007/s00200-003-0124-6

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  • DOI: https://doi.org/10.1007/s00200-003-0124-6

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