Patent ID: 11968304
Assignee: NCHAIN LICENSING AG
Field: Digital communication (Electrical engineering)
Classification: CPC H | IPC H

Claim 9:
10. The method of claim 9, wherein each of the public ephemeral key components Ri″ is determined by the participant i of the r-deriving subset π″ who provides it as:

R″i=bi,π″ki·G, 

in which bi,π″ is an interpolation factor determined as:, b
    
     i
     ,
     
      π
      ″
     
    
   
   =
   
    
     b
     
      i
      ,
      
       π
       ″
      
     
    
    (
    0
    )
   
  
  ,
  

  
   
    
     
      b
      
       i
       ,
       
        π
        ″
       
      
     
     (
     x
     )
    
    =
    
     
      ∏
      
       
        j
        ∈
        
         π
         ″
        
       
       ,
       
        j
        ≠
        i
       
      
       
     
      
     
      
       x
       -
       
        x
        j
       
      
      
       
        x
        i
       
       -
       
        x
        j
       
      
     
    
   
   ;
  
 

wherein the common r-part used to generate each signature component si is derived as:, r
   =
   
    
     [
     
      k
      ·
      G
     
     ]
    
    x
   
  
  ,
  
  
   
    k
    ·
    G
   
   =
   
    
     ∑
     
      i
      ∈
      
       π
       ″
      
     
    
    
     
      R
      ″
     
     i
    
   
  
  ,
 

in which Σi∈π″(*) denotes elliptic curve point addition over the r-deriving subset π″.