scholarly journals Aspects of Hyperelliptic Curves over Large Prime Fields in Software Implementations

Author(s):  
Roberto Maria Avanzi
1989 ◽  
Vol 136 (3) ◽  
pp. 166 ◽  
Author(s):  
A. Selby ◽  
C. Mitchell

2015 ◽  
Vol 18 (1) ◽  
pp. 258-265 ◽  
Author(s):  
Jennifer S. Balakrishnan

The Coleman integral is a $p$-adic line integral that encapsulates various quantities of number theoretic interest. Building on the work of Harrison [J. Symbolic Comput. 47 (2012) no. 1, 89–101], we extend the Coleman integration algorithms in Balakrishnan et al. [Algorithmic number theory, Lecture Notes in Computer Science 6197 (Springer, 2010) 16–31] and Balakrishnan [ANTS-X: Proceedings of the Tenth Algorithmic Number Theory Symposium, Open Book Series 1 (Mathematical Sciences Publishers, 2013) 41–61] to even-degree models of hyperelliptic curves. We illustrate our methods with numerical examples computed in Sage.


Author(s):  
Ze Zhang ◽  
Qingzhao Zhang ◽  
Brandon Nguyen ◽  
Sanjay Sri Vallabh Singapuram ◽  
Z. Morley Mao ◽  
...  

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