EN
GENERALIZATION OF THE LEE WEIGHT TO Ζpk
Abstract
We introduce a new extension of the Lee weight to Zpk and later to Galois rings GR p k , m . The weight we define is a non-homogeneous weight and is different than the one that is generally labeled as “generalized Lee weight”. Unlike the case of generalized Lee weight, we define a distance-preserving Gray map from Zpk , extended Lee distance to F p k−1 p , Hamming distance , thus making our extension practical for coding theory purposes.
Keywords
References
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Details
Primary Language
English
Subjects
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Journal Section
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Publication Date
December 1, 2012
Submission Date
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Acceptance Date
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Published in Issue
Year 2012 Volume: 2 Number: 2
APA
Yıldız, B., & Ödemiş Özger, Z. (2012). GENERALIZATION OF THE LEE WEIGHT TO Ζpk. TWMS Journal of Applied and Engineering Mathematics, 2(2), 145-153. https://izlik.org/JA52JJ33UK
AMA
1.Yıldız B, Ödemiş Özger Z. GENERALIZATION OF THE LEE WEIGHT TO Ζpk. JAEM. 2012;2(2):145-153. https://izlik.org/JA52JJ33UK
Chicago
Yıldız, B., and Z. Ödemiş Özger. 2012. “GENERALIZATION OF THE LEE WEIGHT TO Ζpk”. TWMS Journal of Applied and Engineering Mathematics 2 (2): 145-53. https://izlik.org/JA52JJ33UK.
EndNote
Yıldız B, Ödemiş Özger Z (December 1, 2012) GENERALIZATION OF THE LEE WEIGHT TO Ζpk. TWMS Journal of Applied and Engineering Mathematics 2 2 145–153.
IEEE
[1]B. Yıldız and Z. Ödemiş Özger, “GENERALIZATION OF THE LEE WEIGHT TO Ζpk”, JAEM, vol. 2, no. 2, pp. 145–153, Dec. 2012, [Online]. Available: https://izlik.org/JA52JJ33UK
ISNAD
Yıldız, B. - Ödemiş Özger, Z. “GENERALIZATION OF THE LEE WEIGHT TO Ζpk”. TWMS Journal of Applied and Engineering Mathematics 2/2 (December 1, 2012): 145-153. https://izlik.org/JA52JJ33UK.
JAMA
1.Yıldız B, Ödemiş Özger Z. GENERALIZATION OF THE LEE WEIGHT TO Ζpk. JAEM. 2012;2:145–153.
MLA
Yıldız, B., and Z. Ödemiş Özger. “GENERALIZATION OF THE LEE WEIGHT TO Ζpk”. TWMS Journal of Applied and Engineering Mathematics, vol. 2, no. 2, Dec. 2012, pp. 145-53, https://izlik.org/JA52JJ33UK.
Vancouver
1.B. Yıldız, Z. Ödemiş Özger. GENERALIZATION OF THE LEE WEIGHT TO Ζpk. JAEM [Internet]. 2012 Dec. 1;2(2):145-53. Available from: https://izlik.org/JA52JJ33UK