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Dergiler / Mathematical Sciences and Applications E-Notes / 2019 / Cilt: 7 - Sayı: 1

The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp

Yasemin ÇENGELLENMİŞ
Abdullah DERTLİ
Sayfa
87–93
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Morever, the quantum quasi-cyclic codes over Fp are obtained, by using the self dual basis for Fps over Fp.

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Amaç & Hipotez:In this paper, the quantum codes over Fq are constructed by using the cyclic codes over the finite ring R = Fq + vFq + ... + v m−1Fq, where p is prime, q = p s , m − 1|p − 1 and v m = v.
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Temel Bulgular & Veri:The parameters of quantum error correcting codes over Fq are obtained.
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Sonuç & Katkı:Morever, the quantum quasi-cyclic codes over Fp are obtained, by using the self dual basis for Fps over Fp.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

In this paper, the quantum codes over Fq are constructed by using the cyclic codes over the finite ring R = Fq + vFq + ... + v m−1Fq, where p is prime, q = p s , m − 1|p − 1 and v m = v. The parameters of quantum error correcting codes over Fq are obtained. Some examples are given. Morever, the quantum quasi-cyclic codes over Fp are obtained, by using the self dual basis for Fps over Fp.

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Bu Makaleye Atıf Yap

ÇENGELLENMİŞ, Y., DERTLİ, A. (2019). The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp. Mathematical Sciences and Applications E-Notes, Cilt: 7 - Sayı: 1, 87–93. https://ajindex.com/articles/283491

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Kaynakça (18)

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