Results 21 to 30 of about 642,415 (277)
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
doaj +1 more source
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
doaj +1 more source
SHADOW OPTIMAL SELF-DUAL CODES
Kyushu Journal of Mathematics, 1999 This paper considers binary linear self-dual codes. An optimal self-dual code has the highest minimum weight for the given length. Shadow codes were previously introduced by \textit{J. H. Conway} and \textit{N. J. A. Sloane} [IEEE Trans. Inf. Theory 36, 1319-1333 (1990; Zbl 0713.94016)].
Dougherty, Steven T., Harada, Masaaki
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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Construction of isodual codes from polycirculant matrices
, 2020 Double polycirculant codes are introduced here as a generalization of double circulant codes. When the matrix of the polyshift is a companion matrix of a trinomial, we show that such a code is isodual, hence formally self-dual.
Shi, Minjia, Sole, Patrick, Xu, Li
core +3 more sources
Some new results on the self-dual [120,60,24] code [PDF]
, 2017 The existence of an extremal self-dual binary linear code of length 120 is a long-standing open problem. We continue the investigation of its automorphism group, proving that automorphisms of order 30 and 57 cannot occur. Supposing the involutions acting
Borello, Martino, de la Cruz, Javier
core +2 more sources
On self-dual double circulant codes [PDF]
Designs, Codes and Cryptography, 2017 Self-dual double circulant codes of odd dimension are shown to be dihedral in even characteristic and consta-dihedral in odd characteristic. Exact counting formulae are derived for them and used to show they contain families of codes with relative distance satisfying a modified Gilbert-Varshamov bound.
Alahmadi, Adel +2 more
openaire +5 more sources
, 2002 Self-dual codes are important because many of the best codes known are of this type and they have a rich mathematical theory. Topics covered in this survey include codes over F_2, F_3, F_4, F_q, Z_4, Z_m, shadow codes, weight enumerators, Gleason-Pierce theorem, invariant theory, Gleason theorems, bounds, mass formulae, enumeration, extremal codes ...
Rains, E. M., Sloane, N. J. A.
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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
doaj +1 more source
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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