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Nonbinary Quantum Codes from Hermitian Curves
2006The extreme sensitivity of quantum information to ambient noise has prompted the study of quantum error-correcting codes.In this paper two families of quantum error-correcting codes are constructed based on Hermitian curves. Unlike the case of classical codes, it is a difficult, sometimes impossible, task to puncture a quantum stabilizer code.
Pradeep Kiran Sarvepalli +1 more
openaire +1 more source
A family of curves covered by the Hermitian curve
2010ISSN : 1285 ...
J. W. P. Hirschfeld +3 more
openaire +1 more source
?p2-maximal curves with many automorphisms are Galois-covered by the Hermitian curve
Advances in Geometry, 2021Maria Montanucci, Daniele Bartoli
exaly
The Weierstrass Semigroup of an m-tuple of Collinear Points on a Hermitian Curve
International Conference on Finite Fields and Applications, 2003Gretchen L. Matthews
semanticscholar +1 more source
On the spectrum of genera of quotients of the Hermitian curve
Communications in Algebra, 2018Maria Montanucci, Giovanni Zini
exaly
On the classification problem for the genera of quotients of the Hermitian curve
Communications in Algebra, 2019Maria Montanucci, Giovanni Zini
exaly
Complete arcs arising from a generalization of the Hermitian curve (extended abstract)
Electronic Notes in Discrete Mathematics, 2013Herivelto Martins Borges Filho
exaly
The second generalized Hamming weight for two-point codes on a Hermitian curve
Designs, Codes, and Cryptography, 2008Seon Jeong Kim, Masaaki Homma
exaly
On maximal curves that are not quotients of the Hermitian curve
Finite Fields and Their Applications, 2016Massimo Giulietti +2 more
exaly