Course

M566 - Designs and Codes

Course No: 
M566
Credit: 
4
Prerequisites: 
M205, M307
Approval: 
2014
UG-Elective
PG-Core
Syllabus: 

Incidence structures, affine planes, translation plane, projective planes, conics and ovals, blocking sets. [10 lectures]

Introduction to Balanced Incomplete Block Designs (BIBD), Symmetric BIBDs, Difference sets, Hadamard matrices and designs, Resolvable BIBDs, Latin squares. [20 lectures]

Basic concepts of Linear Codes, Hamming codes, Golay codes, Reed-Muller codes, Bounds on the size of codes, Cyclic codes, BCH codes, Reed-Solomon codes. [20 lectures]

Reference Books: 

G. Eric Moorhouse, Incidence Geometry, 2007 (available online).Douglas R. Stinson, Combinatorial Designs, Springer-Verlag, New York, 2004.W. Cary Huffman, V. Pless, Fundamentals of Error-correcting Codes, Cambridge University Press, Cambridge, 2003.

Contact us

School of Mathematical Sciences

NISERPO- Bhimpur-PadanpurVia- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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