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I am looking for good textbooks for lattice and coding theory. Lattice and coding theory are very interesting on their own, but I have application of the theory to K3 surfaces & modular forms (and vice versa) in mind.

My goal is probably to go through Conway & Slone's "Sphere Packings, Lattices and Groups" but the book is too difficult for me at this point (the book is a collection of research papers). I have read roughly half of Ebeling's "Lattices and Codes", but it is getting harder and harder.

I would appreciate it if someone could introduce good textbooks to me. Expository articles are also welcome.

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up vote 2 down vote accepted

I learned coding theory from the following texts (but I have to admit I didn't learn anything about lattices from them):

  1. This is a pretty good introduction (that I had when I was learning): Hoffman, et al.

  2. Pless & Huffman has almost anything you could want about codes.

  3. Roman has much more on information theory

  4. Blahut is targeted more at engineers, I think.

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Thank you for introducing me the books. Coding theory is itself intriguing. – M. K. Oct 1 '12 at 18:52

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