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

Claim 12:
13. The method of claim 12, wherein each of the public ephemeral key components is determined by the participant i of the challenge subset π′ who provides it as:

Ri′=bi,π′ki·G, 

in which ki is the ephemeral keyshare held by that participant i and 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 r-challenge comprises data of a public ephemeral key derived as:, k
    ·
    G
   
   =
   
    
     ∑
     
      i
      ∈
      
       π
       ′
      
     
    
    
     R
     i
     ′
    
   
  
  ,
 

in which Σi∈π′(*) denotes elliptic curve point addition over the challenge subset π′.