A nearest neighbor search algorithm for LR-LD on high SNR

Author(s):  
Thae Thae Yu Khine ◽  
Koji Araki ◽  
Daisuke Mitsunaga ◽  
Hua-An Zhao
Author(s):  
Levon Arsalanyan ◽  
Hayk Danoyan

The Nearest Neighbor search algorithm considered in this paper is well known (Elias algorithm). It uses error-correcting codes and constructs appropriate hash-coding schemas. These schemas preprocess the data in the form of lists. Each list is contained in some sphere, centered at a code-word. The algorithm is considered for the cases of perfect codes, so the spheres and, consequently, the lists do not intersect. As such codes exist for the limited set of parameters, the algorithm is considered for some other generalizations of perfect codes, and then the same data point may be contained in different lists. A formula of time complexity of the algorithm is obtained for these cases, using coset weight structures of the mentioned codes


2008 ◽  
Vol 164 (3) ◽  
pp. 69-77 ◽  
Author(s):  
Shiro Ajioka ◽  
Satoru Tsuge ◽  
Masami Shishibori ◽  
Kenji Kita

2006 ◽  
Vol 126 (3) ◽  
pp. 353-360 ◽  
Author(s):  
Shiro Ajioka ◽  
Satoru Tsuge ◽  
Masami Shishibori ◽  
Kenji Kita

Author(s):  
Thae Thae Yu Khine ◽  
Daisuke Mitsunaga ◽  
Koji Araki ◽  
Hua-An Zhao

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