Results 21 to 30 of about 645,715 (278)
On McEliece-Type Cryptosystems Using Self-Dual Codes With Large Minimum Weight
IEEE Access, 2023 One of the Round 3 Finalists in the NIST post-quantum cryptography call is the Classic McEliece cryptosystem. Although it is one of the most secure cryptosystems, the large size of its public key remains a practical limitation. In this work, we propose a
Luca Mariot +2 more
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Linear programming bounds for doubly-even self-dual codes [PDF]
, 1997 Using a variant of linear programming method we derive a new upper bound on the minimum distance d of doubly-even self-dual codes of length n. Asymptotically, for n growing, it gives d/n
Ilia Krasikov, Simon Litsyn
core +3 more sources
On the Problem of the Existence of a Square Matrix U Such That UUT = −I over Zpm
Information, 2017 Building-up construction is one of several methods for constructing self-dual codes. Recently, a new building-up construction method has been developed by S.
Sunghyu Han
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Gottesman-Kitaev-Preskill codes: A lattice perspective [PDF]
Quantum, 2022 We examine general Gottesman-Kitaev-Preskill (GKP) codes for continuous-variable quantum error correction, including concatenated GKP codes, through the lens of lattice theory, in order to better understand the structure of this class of stabilizer codes.
Jonathan Conrad +2 more
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Language athletes: Dual-language code-switchers exhibit inhibitory control advantages
Frontiers in Psychology, 2023 Recent studies have begun to examine bilingual cognition from more nuanced, experienced-based perspectives. The present study adds to this body of work by investigating the potential impact of code-switching on bilinguals’ inhibitory control abilities ...
Leah Gosselin, Laura Sabourin
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Hermitian Self-Dual Abelian Codes [PDF]
IEEE Transactions on Information Theory, 2014 Hermitian self-dual abelian codes in a group ring Fq2[G], where Fq2 is a finite field of order q2 and G is a finite abelian group, are studied. Using the well-known discrete Fourier transform decomposition for a semisimple group ring, a characterization of Hermitian self-dual abelian codes in Fq2[G] is given, together with an alternative proof of ...
Somphong Jitman, San Ling, Patrick Solé
openaire +2 more sources
Some results on free Euclidean self-dual codes over F2+vF2
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 In thispaper, free Euclidean self-dual codes over the ring F2+ v F2 with v2=vof order 4 are considered. A necessary andsufficient condition for the form of the generator matrix of a free Euclideanself-dual code is given.
Refia Aksoy, Fatma Çalışkan
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Reversible Self-Dual Codes over Finite Field
Cauchy: Jurnal Matematika Murni dan AplikasiReversible self-dual code is a linear code which combine the properties from self-dual code and reversible code. Previous research shows that reversible self-dual codes have only been developed over field of order 2 and order 4.
Ardi Nur Hidayat +2 more
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Magic state distillation with low space overhead and optimal asymptotic input count [PDF]
Quantum, 2017 We present an infinite family of protocols to distill magic states for $T$-gates that has a low space overhead and uses an asymptotic number of input magic states to achieve a given target error that is conjectured to be optimal.
Jeongwan Haah +3 more
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A Texture-Hidden Anti-Counterfeiting QR Code and Authentication Method
Sensors, 2023 This paper designs a texture-hidden QR code to prevent the illegal copying of a QR code due to its lack of anti-counterfeiting ability. Combining random texture patterns and a refined QR code, the code is not only capable of regular coding but also has a
Tianyu Wang +3 more
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