Textbooks

1. Error Control Coding
BY: S. Lin and D. Costello - 2nd Edition, Prentice-Hall, 2004
Comprehensive coverage of error detection and correction, linear block codes, standard array decoding, syndrome decoding, and maximum likelihood decoding.

2. The Theory of Error-Correcting Codes
BY: F. J. MacWilliams and N. J. A. Sloane - North-Holland, 1977
Classic reference on algebraic coding theory covering standard array construction, syndrome computation, and decoding algorithms.

3. Fundamentals of Error-Correcting Codes
BY: W. Huffman and V. Pless - Cambridge University Press, 2003
Detailed treatment of linear codes, coset decomposition, standard array, and syndrome-based decoding techniques.

4. A First Course in Coding Theory
BY: Raymond Hill - Oxford University Press, 1986
Accessible introduction to error detection and correction with clear explanations of standard array and syndrome decoding.

5. Introduction to Coding Theory
BY: J. H. van Lint - Springer, 1999
Mathematical foundations of coding theory including error detection, correction capabilities, and decoding methods.

6. Introduction to the Theory of Error-Correcting Codes
BY: Vera Pless - Wiley-Interscience, 1982
Introduction to algebraic coding theory with focus on linear codes, BCH codes, and decoding algorithms including syndrome-based methods.

Video Lectures and Online Courses

NPTEL Courses:

• Error Correcting Codes - IIT Bombay
• Coding Theory - IIT Roorkee
• Information Theory and Coding - IIT Kharagpur

MIT OpenCourseWare:

• Essential Coding Theory - MIT
• Information Theory - MIT

YouTube EDU Channels:

• Neso Academy - Information Theory and Coding - Complete coding theory course including error detection and correction
• GATE Lectures by Ravindrababu Ravula - Information Theory and Coding

Research Papers and Articles

1. Error Detecting and Error Correcting Codes
BY: R. W. Hamming
Bell System Technical Journal, 1950

2. A Mathematical Theory of Communication
BY: C. E. Shannon
Bell System Technical Journal, 1948

3. Standard Array Decoding of Linear Codes
BY: E. R. Berlekamp
IEEE Transactions on Information Theory, 1968

4. Syndrome Decoding of Linear Block Codes
BY: D. Slepian
Bell System Technical Journal, 1956

5. Maximum Likelihood Decoding and Error Probability
BY: I. M. Jacobs
IEEE Transactions on Information Theory, 1967

Online Resources

Interactive Tools:

• Sage Math - Coding Theory - Interactive standard array and syndrome decoding computations
• Error Correction Zoo - Comprehensive database of error-correcting codes and decoding methods

Lecture Notes:

• MIT 6.02 Notes - Error Correction - MIT Course Materials on error detection and correction
• Stanford EE 387 Notes - Advanced coding theory lecture notes
• Cambridge Computer Lab - Coding Theory - Lecture notes on linear codes and decoding algorithms