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تسجيل مستخدم جديدGood Stabilizer Codes from Quasi-Cyclic Codes over $mathbb{F}_4$ and $mathbb{F}_9$
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نشر من قبل
Martianus Frederic Ezerman
تاريخ النشر
2019
مجال البحث
الهندسة المعلوماتية
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English
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We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over $mathbb{F}_4$ and $mathbb{F}_9$ to derive good qubit and qutrit stabilizer codes, respectively. In several occasions we obtain quantum codes with stricly improved parameters than the current record. In numerous other occasions we obtain quantum codes with best-known performance. For the qutrit ones we supply a systematic construction to fill some gaps in the literature.
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