A comparison between Suzuki invariant code and one-point Hermitian code

2021 ◽  
pp. 2150104
Author(s):  
Abdulla Eid
Keyword(s):  
Algebraic Geometry ◽  
Minimum Distance ◽  
Algebraic Curves ◽  
Automorphism Groups ◽  
Algebraic Geometry Codes ◽  
Hermitian Codes ◽  
Relative Minimum ◽  
Minimum Distances ◽  
Hermitian Code

In this paper we compare the performance of two algebraic geometry codes (Suzuki and Hermitian codes) constructed using maximal algebraic curves over [Formula: see text] with large automorphism groups by choosing specific divisors. We discuss their parameters, compare the rate of these codes as well as their relative minimum distances, and we show that both codes are asymptotically good in terms of the rate which is in contrast to their behavior in terms of the relative minimum distance.

scholarly journals Further improvements on the designed minimum distance of algebraic geometry codes

2009 ◽  
Vol 213 (1) ◽  
pp. 87-97 ◽  
Author(s):  
Cem Güneri ◽  
Henning Stichtenoth ◽  
İhsan Taşkın
Keyword(s):  
Algebraic Geometry ◽  
Minimum Distance ◽  
Algebraic Geometry Codes

scholarly journals On Curve Veering and Flutter of Rotating Blades

1994 ◽  
Vol 116 (3) ◽  
pp. 702-708 ◽  
Author(s):  
D. Afolabi ◽  
O. Mehmed
Keyword(s):  
Algebraic Geometry ◽  
Catastrophe Theory ◽  
Algebraic Curves ◽  
Rotation Speed ◽  
Elastic Stability ◽  
Rotating Blades ◽  
Rotating Blade ◽  
Modes Of Vibration ◽  
Curve Veering ◽  
As If

The eigenvalues of rotating blades usually change with rotation speed according to the Stodola-Southwell criterion. Under certain circumstances, the loci of eigenvalues belonging to two distinct modes of vibration approach each other very closely, and it may appear as if the loci cross each other. However, our study indicates that the observable frequency loci of an undamped rotating blade do not cross, but must either repel each other (leading to “curve veering”), or attract each other (leading to “frequency coalescence”). Our results are reached by using standard arguments from algebraic geometry—the theory of algebraic curves and catastrophe theory. We conclude that it is important to resolve an apparent crossing of eigenvalue loci into either a frequency coalescence or a curve veering, because frequency coalescence is dangerous since it leads to flutter, whereas curve veering does not precipitate flutter and is, therefore, harmless with respect to elastic stability.

Automorphism groups of algebraic curves ofR n of genus 2

1984 ◽  
Vol 42 (3) ◽  
pp. 229-237 ◽  
Author(s):  
E. Bujalance ◽  
J. M. Gamboa
Keyword(s):  
Algebraic Curves ◽  
Automorphism Groups ◽  
Genus 2

scholarly journals On the second Feng-Rao distance of Algebraic Geometry codes related to Arf semigroups

2018 ◽  
Vol 86 (12) ◽  
pp. 2893-2916 ◽  
Author(s):  
José I. Farrán ◽  
Pedro A. García-Sánchez ◽  
Benjamín A. Heredia
Keyword(s):  
Algebraic Geometry ◽  
Algebraic Geometry Codes ◽  
Rao Distance ◽  
Arf Semigroups
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