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Codes over Quaternion Integers

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2010

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
In this paper, we study codes over some finite fields by using quaternion integers. Also, we obtain the decoding procedure of these codes.
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FULL TEXT (PDF): 
PDF icon arastirmax-codes-over-quaternion-integers.pdf
  • 4
670-677
  • English

REFERENCES

References: 

[1] K Huber. Codes Over Gaussian Integers, IEEE Trans. Inform.Theory, vol. 40, pp. 207-216,
Jan. 1994.
[2] E R Berlekamp. Algebraic Coding Theory, Laguna Hills, CA: Aegan Park, 1984.
[3] K Huber. Codes over Eisenstein-Jacobi integers, AMS. Contemp. Math., vol. 158, pp. 165-
179, 1994.
[4] G Davidoff. P Sarnak. and A Valette. Elementary Number Theory, Group Theory, and
Ramanujan Graphs, Cambridge University Pres, 2003.

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