Coding theory: Difference between revisions

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# <math>C:\mathcal{X}^*\to\Sigma^*</math> is [[Uniquely decodable code#Uniquely decodable codes|uniquely decodable]] if injective.
# <math>C:\mathcal{X}\to\Sigma^*</math> is [[Variable-length code#Prefix codes|instantaneous]] if <math>C(x_1)</math> is not a prefix of <math>C(x_2)</math> (and vice versa).
# <math>C:\mathcal{X}\to\Sigma^*</math> is [[Variable-length code#Prefix codes|instantaneous]] if <math>C(x_1)</math> is not a prefix of <math>C(x_2)</math> (and vice versa).
# <math>C:\mathcal{X}\to\Sigma^*</math> is [[Variable-length code#Prefix codes|instantaneous]] if <math>C(x_1)</math> is not a prefix of <math>C(x_2)</math> (and vice versa).
# <math>C:\mathcal{X}\to\Sigma^*</math> is [[Variable-length code#Prefix codes|instantaneous]] if <math>C(x_1)</math> is not a prefix of <math>C(x_2)</math> (and vice versa).
# <math>C:\mathcal{X}\to\Sigma^*</math> is [[Variable-length code#Prefix codes|instantaneous]] if <math>C(x_1)</math> is not a prefix of <math>C(x_2)</math> (and vice versa).
# <math>C:\mathcal{X}\to\Sigma^*</math> is [[Variable-length code#Prefix codes|instantaneous]] if <math>C(x_1)</math> is not a prefix of <math>C(x_2)</math> (and vice versa).
also its the same thing baisc math
 
===Principle===