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| First Indexed | 2024-06-06 05:23:46 (1 year ago) |
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| Meta Title | Error Correcting Codes (EE5350) : Aug-Dec 2025. |
| Meta Description | null |
| Meta Canonical | null |
| Boilerpipe Text | Instructor
Myna Vajha
Timings and Venue
Slot R: Tue: 2.30-4pm, Fri: 4-5.30pm
CS-LH-2
First class on Tuesday, 29th July, 2.30pm
Office Hours
Tue: 4-5pm
Teaching Assistants (TBD)
Outline (Tentative)
Basics of binary codes: block length, Hamming weight, minimum distance, rate
Mathematical Preliminaries: Group, Ring, Field, Vector Spaces
Linear block codes
generator and parity check matrices
dual code
puncturing and shortening techniques
Bounds on code sizes: Hamming, Gilbert-Varshamov, Singleton bounds
MDS codes: Reed Solomon (RS) Codes
Dual of RS codes,
Systematic Encoding of RS codes
Berlekamp-Welch decoding
Shamir's Secret Sharing
Applications to Learning: Straggler Mitigation
Distributed Computation
Applications in Post-Quantum Cryptography
McElice Cryptosystem
Boolean functions, Reed Muller Codes, Polar codes
Decoding Linear Block Codes
Standard Array, ML, MAP decoder
Shannon's Channel coding theorem (time permitting)
Generalized Distributive Law
LDPC codes
Belief Propagation/ Message Passing decoder
Convolutional Codes, Viterbi Decoder
Finite Fields, Cyclic Codes (BCH codes)
References
Error Control Codes
(NPTEL course) by Prof. P. Vijay Kumar.
Cary Huffmann and Vera Pless: Fundamentals of Error-Correcting Codes, Cambridge University Press, 2003
Tom Richardson and Ruediger Urbanke: Modern Coding Theory Cambridge University Press, 2008.
Will add links to any additional references as course progresses |
| Markdown | | | |
|---|---|
| Myna Vajha [Home](https://people.iith.ac.in/mynav/index.html) [Bio](https://people.iith.ac.in/mynav/bio.html) [Teaching](https://people.iith.ac.in/mynav/teaching.html) [Publications](https://people.iith.ac.in/mynav/pubs.html) [Group](https://people.iith.ac.in/mynav/students.html) [Talks](https://people.iith.ac.in/mynav/talks.html) | Error Correcting Codes (EE5350) : Aug-Dec 2025. Instructor Myna Vajha Timings and Venue Slot R: Tue: 2.30-4pm, Fri: 4-5.30pm CS-LH-2 First class on Tuesday, 29th July, 2.30pm Office Hours Tue: 4-5pm Teaching Assistants (TBD) Outline (Tentative) Basics of binary codes: block length, Hamming weight, minimum distance, rate Mathematical Preliminaries: Group, Ring, Field, Vector Spaces Linear block codes generator and parity check matrices dual code puncturing and shortening techniques Bounds on code sizes: Hamming, Gilbert-Varshamov, Singleton bounds MDS codes: Reed Solomon (RS) Codes Dual of RS codes, Systematic Encoding of RS codes Berlekamp-Welch decoding Shamir's Secret Sharing Applications to Learning: Straggler Mitigation Distributed Computation Applications in Post-Quantum Cryptography McElice Cryptosystem Boolean functions, Reed Muller Codes, Polar codes Decoding Linear Block Codes Standard Array, ML, MAP decoder Shannon's Channel coding theorem (time permitting) Generalized Distributive Law LDPC codes Belief Propagation/ Message Passing decoder Convolutional Codes, Viterbi Decoder Finite Fields, Cyclic Codes (BCH codes) References [Error Control Codes](https://nptel.ac.in/courses/117108044) (NPTEL course) by Prof. P. Vijay Kumar. Cary Huffmann and Vera Pless: Fundamentals of Error-Correcting Codes, Cambridge University Press, 2003 Tom Richardson and Ruediger Urbanke: Modern Coding Theory Cambridge University Press, 2008. Will add links to any additional references as course progresses Page generated 2025-07-28 17:03:36 India Standard Time, by [jemdoc+MathJax](https://github.com/wsshin/jemdoc_mathjax). | |
| Readable Markdown | - Instructor
- Myna Vajha
- Timings and Venue
- Slot R: Tue: 2.30-4pm, Fri: 4-5.30pm
- CS-LH-2
- First class on Tuesday, 29th July, 2.30pm
- Office Hours
- Tue: 4-5pm
- Teaching Assistants (TBD)
- Outline (Tentative)
- Basics of binary codes: block length, Hamming weight, minimum distance, rate
- Mathematical Preliminaries: Group, Ring, Field, Vector Spaces
- Linear block codes
- generator and parity check matrices
- dual code
- puncturing and shortening techniques
- Bounds on code sizes: Hamming, Gilbert-Varshamov, Singleton bounds
- MDS codes: Reed Solomon (RS) Codes
- Dual of RS codes,
- Systematic Encoding of RS codes
- Berlekamp-Welch decoding
- Shamir's Secret Sharing
- Applications to Learning: Straggler Mitigation
- Distributed Computation
- Applications in Post-Quantum Cryptography
- McElice Cryptosystem
- Boolean functions, Reed Muller Codes, Polar codes
- Decoding Linear Block Codes
- Standard Array, ML, MAP decoder
- Shannon's Channel coding theorem (time permitting)
- Generalized Distributive Law
- LDPC codes
- Belief Propagation/ Message Passing decoder
- Convolutional Codes, Viterbi Decoder
- Finite Fields, Cyclic Codes (BCH codes)
- References
- [Error Control Codes](https://nptel.ac.in/courses/117108044) (NPTEL course) by Prof. P. Vijay Kumar.
- Cary Huffmann and Vera Pless: Fundamentals of Error-Correcting Codes, Cambridge University Press, 2003
- Tom Richardson and Ruediger Urbanke: Modern Coding Theory Cambridge University Press, 2008.
- Will add links to any additional references as course progresses |
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