Research in Coding Theory
From a mathematical perspective: Try 


  1) Handbook of coding theory - Huffman and Pless
  
  2) Fundamentals of Error-Correcting Codes - Huffman and Pless
  
  3) Introduction to coding theory - Ron Roth 
  
  4) Algebraic Geometric Codes: Basic Notions - Vladut, Nogin and Tsfasman 
  
  5) Introduction to Coding Theory - Van Lint 
  
  6) Algebraic Geometry in Coding Theory and Cryptography - Harald Niederreiter and Chaoping Xing.


From an engineering perspective: Try 


  1) Error Control Coding - Shu Lin and Daniel Costello 
  
  2) Modern Coding Theory - Richardson and Urbanke 
  
  3) Error Correction Coding - Todd K Moon 
  
  4) Channel Codes: Classical and Modern - William Ryan and Shu Lin.


From Computer Science perspective: Try 


  1) Madhu Sudan MIT Notes 
  
  2) Algorithmic Results in List Decoding -  Guruswami 
  
  3) Computational complexity - Boaz Barak (Chapter 19) 
  
  4) Refer this cstheory question - Using error-correcting codes in theory
  
  5) Locally Decodable Codes - Yekhanin
  
  6) Chapter on applications of coding theory in complexity theory in Different Aspects of Coding Theory - Calderbank.