Journal
DESIGNS CODES AND CRYPTOGRAPHY
Volume 72, Issue 3, Pages 733-747Publisher
SPRINGER
DOI: 10.1007/s10623-013-9796-5
Keywords
Quantum cap; Quaternary code; Quantum stabilizer code; Symplectic geometry; Projective space; Trace; Hyperoval; Elliptic quadric
Funding
- Research Foundation-Flanders (FWO) [G.0317.06]
- Interuniversitary Attraction Poles Programme-Belgian State-Belgian Science Policy [P6/26-Bcrypt]
- NSA [H98230-10-1-0159]
- Italian Ministero dell'Istruzione, dell'Universita e della Ricerca (MIUR)
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni (GNSAGA)
Ask authors/readers for more resources
We give a geometric description of binary quantum stabilizer codes. In the case of distance this leads to the notion of a quaternary quantum cap. We describe several recursive constructions for quantum caps, determine the quantum caps in PG (3,4) and the cardinalities of quantum caps in PG(4,4).
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
