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Dergiler / TWMS Journal of Applied and Engineering Mathematics / 2012 / Volume: 2 Issue: 2

GENERALIZATION OF THE LEE WEIGHT TO Ζpk

B. Yıldız(Department of Mathematics, Fatih University, 34500, Istanbul, Turkey)
Z. Ödemiş Özger(Department of Mathematics, Fatih University, 34500, Istanbul, Turkey)
Sayfa
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Yayın Tarihi
2012-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We introduce a new extension of the Lee weight to Zpk and later to Galois rings GR p k , m .
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Temel Bulgular & Veri:The weight we define is a non-homogeneous weight and is different than the one that is generally labeled as “generalized Lee weight”.
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Sonuç & Katkı: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.
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lee weight · extended · Gray map

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.

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Bu Makaleye Atıf Yap

Yıldız, B., Özger, Z. Ö. (2012). GENERALIZATION OF THE LEE WEIGHT TO Ζpk. TWMS Journal of Applied and Engineering Mathematics, Volume: 2 Issue: 2. https://ajindex.com/articles/1604689

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Kaynakça (14)

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