scholarly journals Locally recoverable J-affine variety codes

2020 ◽  
Vol 64 ◽  
pp. 101661 ◽  
Author(s):  
Carlos Galindo ◽  
Fernando Hernando ◽  
Carlos Munuera
Keyword(s):  
Affine Variety ◽  
Affine Variety Codes

scholarly journals On affine variety codes from the Klein quartic

2018 ◽  
Vol 11 (2) ◽  
pp. 237-257 ◽  
Author(s):  
Olav Geil ◽  
Ferruh Özbudak
Keyword(s):  
Affine Variety ◽  
Affine Variety Codes

scholarly journals Improved decoding of affine-variety codes

2012 ◽  
Vol 216 (7) ◽  
pp. 1533-1565 ◽  
Author(s):  
Chiara Marcolla ◽  
Emmanuela Orsini ◽  
Massimiliano Sala
Keyword(s):  
Affine Variety ◽  
Affine Variety Codes

scholarly journals On the distance of stabilizer quantum codes from J-affine variety codes

2017 ◽  
Vol 16 (4) ◽  
Author(s):  
Carlos Galindo ◽  
Olav Geil ◽  
Fernando Hernando ◽  
Diego Ruano
Keyword(s):  
Quantum Codes ◽  
Affine Variety ◽  
Affine Variety Codes

scholarly journals Quantum codes from affine variety codes and their subfield-subcodes

2014 ◽  
Vol 76 (1) ◽  
pp. 89-100 ◽  
Author(s):  
Carlos Galindo ◽  
Fernando Hernando
Keyword(s):  
Quantum Codes ◽  
Affine Variety ◽  
Affine Variety Codes

scholarly journals Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement

2015 ◽  
Vol 14 (9) ◽  
pp. 3211-3231 ◽  
Author(s):  
Carlos Galindo ◽  
Fernando Hernando ◽  
Diego Ruano
Keyword(s):  
Quantum Codes ◽  
Affine Variety ◽  
Affine Variety Codes

scholarly journals Lehmer points and visible points on affine varieties over finite fields

2013 ◽  
Vol 156 (2) ◽  
pp. 193-207 ◽  
Author(s):  
KIT-HO MAK ◽  
ALEXANDRU ZAHARESCU
Keyword(s):  
Finite Fields ◽  
Affine Variety ◽  
Asymptotic Results ◽  
Visible Points ◽  
Congruence Classes

AbstractLet V be an absolutely irreducible affine variety over $\mathbb{F}_p$. A Lehmer point on V is a point whose coordinates satisfy some prescribed congruence conditions, and a visible point is one whose coordinates are relatively prime. Asymptotic results for the number of Lehmer points and visible points on V are obtained, and the distribution of visible points into different congruence classes is investigated.

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