Lattices and Codes

Name: Lattices and Codes
Brand: Springer Nature
SKU: 9783322900142
Availability: InStock

Lattices and Codes

Brand

Springer Nature

Manufacturer

N/A

Part Number

GTIN

9783322900142

Condition

New

0 Reviews

0 Questions | 0 Answers

Product Description

The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. This book is about an example of such a connection: the relation between codes and lattices. Lattices are studied in number theory and in the geometry of numbers. Many problems about codes have their counterpart in problems about lattices and sphere packings. We give a detailed introduction to these relations including recent results of G. van der Geer and F. Hirzebruch. Let us explain the history of this book. In [LPS82] J. S. Leon, V. Pless, and N. J. A. Sloane considered the Lee weight enumerators of self-dual codes over the prime field of characteristic 5. They wrote in the introduction to their paper: "The weight enumerator of anyone of the codes . . . is strongly constrained: it must be invariant under a three-dimensional representation of the icosahedral group. These invariants were already known to Felix Klein, and the consequences for coding theory were discovered by Gleason and Pierce (and independently by the third author) . . . (It is worth mentioning that precisely the same invariants have recently been studied by Hirzebruch in connection with cusps of the Hilbert modular surface associated with Q( J5).

Available Colors

N/A

Available Sizes

N/A

1 Offer Price Range: $49.99 - $49.99

BEST PRICE

Single Product Purchase

$45.00

@ Link.springer.com with extra coupon Get Coupon & BUY

Price Comparison

Seller	Contact Seller	List Price	On Sale	Shipping	Best Promo	Final Price	Volume Discount	Financing	Availability	Seller's Page
BEST PRICE 1 Product Purchase @ Link.springer.com Rate Seller This functionality is for registered users only. Go to Login/Register		$49.99	$49.99		10% OFF This deals requires coupon Get Code Here your10off @ Link.springer.com Deals Ends 31/08/2025	$45.00		See Site	In stock	Visit Store