Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Abstract   An  m -ary balanced code with  r  check digits and  k  information digits is a code over the alphabet  Z   m   = {0,1, …,  m −1} of length  n  =  k + r  and cardinality  m   k   such that each codeword is balanced; that is, the real sum of its components (or ight) is equal to [( m  − 1) n /2].  contains new efficient methods to design  m -ary balanced codes which improve the constructions found in the literature, for all alphabet size  m  ⩾2. To design such codes, the information words which are close to be balanced are encoded using single maps obtained by a new generalization of Knuth's complementation method to the  m -ary alphabet that  introduce in this paper. Whereas, the remaining information words are compressed via suitable  m -ary uniquely decodable variable length codes and then balanced using the saved space. For any  m ⩾2, infinite families of  m -ary balanced codes are given with  r  check digits and  k ⩽[1/(1 − 2 α )][ m   r   − 1)/( m  − 1)] −  c  1  ( m ,  α )  r  − c  2 ( m ,  α ) information digits, where α ϵ [0, 1/2) can be chosen arbitrarily close to 1/2. The codes can be implemented with O( mk  log  m    k )  m -ary digit operations and O( m  +  k ) memory elements to store  m -ary digits.
['Luca G. Tallini', 'Ugo Vaccaro']
I am writing a research paper on a idea Efficient m -ary balanced codes
[{"from": "human", "value": "I am writing a research paper on a idea Efficient m -ary balanced codes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Abstract   An  m -ary balanced code with  r  check digits and  k  information digits is a code over the alphabet  Z   m   = {0,1, \u2026,  m \u22121} of length  n  =  k + r  and cardinality  m   k   such that each codeword is balanced; that is, the real sum of its components (or ight) is equal to [( m  \u2212 1) n /2].  contains new efficient methods to design  m -ary balanced codes which improve the constructions found in the literature, for all alphabet size  m  \u2a7e2. To design such codes, the information words which are close to be balanced are encoded using single maps obtained by a new generalization of Knuth's complementation method to the  m -ary alphabet that  introduce in this paper. Whereas, the remaining information words are compressed via suitable  m -ary uniquely decodable variable length codes and then balanced using the saved space. For any  m \u2a7e2, infinite families of  m -ary balanced codes are given with  r  check digits and  k \u2a7d[1/(1 \u2212 2 \u03b1 )][ m   r   \u2212 1)/( m  \u2212 1)] \u2212  c  1  ( m ,  \u03b1 )  r  \u2212 c  2 ( m ,  \u03b1 ) information digits, where \u03b1 \u03f5 [0, 1/2) can be chosen arbitrarily close to 1/2. The codes can be implemented with O( mk  log  m    k )  m -ary digit operations and O( m  +  k ) memory elements to store  m -ary digits."}]