Download ALGORITHMIC RESULTS IN LIST DECODING (Foundations and by Venkatesan Guruswami PDF

By Venkatesan Guruswami

Algorithmic ends up in checklist deciphering introduces and motivates the matter of checklist deciphering, and discusses the valuable algorithmic result of the topic, culminating with the hot effects on attaining "list deciphering capacity." the most technical concentration is on giving a whole presentation of the new algebraic effects attaining checklist interpreting means, whereas guidelines or short descriptions are supplied for different works on record deciphering. Algorithmic leads to checklist interpreting is meant for students and graduate scholars within the fields of theoretical laptop technological know-how and data thought. the writer concludes through posing a few attention-grabbing open questions and indicates instructions for destiny paintings.

Show description

Read Online or Download ALGORITHMIC RESULTS IN LIST DECODING (Foundations and Trends(R) in Theoretical Computer Science) PDF

Similar computers books

Adobe Flex 3.0 For Dummies

Able to flex your net improvement muscle groups and begin construction wealthy web functions? With Flex three. zero, you could create nice RIAs that practice like computer functions utilizing Adobe Flash participant, that is already put in on greater than ninety five percentage of Internet-connected desktops. And the thrill and simple way™ to wake up to hurry on Flex is with Adobe Flex three.

IPv6 Fundamentals: A Straightforward Approach to Understanding IPv6 (Fundamentals Series)

To help destiny company continuity, progress, and innovation, enterprises needs to transition to IPv6, the subsequent new release protocol for outlining how desktops converse over networks. "IPv6 Fundamentals" presents an intensive but easy-to-understand creation to the recent wisdom and talents community execs and scholars have to install and deal with IPv6 networks.

IT Audit, Control, and Security (Wiley Corporate F&A, Volume 13)

By way of machine defense, the function of auditors this day hasn't ever been extra an important. Auditors needs to make sure that all desktops, specifically these facing e-business, are safe. the single resource for info at the mixed parts of desktop audit, regulate, and defense, the second one variation describes the kinds of inner controls, defense, and integrity systems that administration needs to construct into its automatic platforms.

Structured Electronic Design - High-Performance Harmonic Oscillators and Bandgap References (The Kluwer International Series in Engineering and Computer ... Series in Engineering and Computer Science)

Analog layout nonetheless has, regrettably, a taste of paintings. paintings could be attractive. notwithstanding, paintings in itself is hard to educate to scholars and hard to move from skilled analog designers to new trainee designers in businesses. based digital layout: High-Performance Harmonic Oscillators and Bandgap References goals to systemize analog layout.

Additional info for ALGORITHMIC RESULTS IN LIST DECODING (Foundations and Trends(R) in Theoretical Computer Science)

Example text

The reduction is described formally below. Note that the error fraction is reduced from (1 − 1/ ) (which is close to 1 for large ) to γ for an arbitrarily small constant γ > 0 (at the expense of a larger alphabet size and lower rate). 1. [33] Let ε, γ ∈ (0, 1) be arbitrary constants. Let C be a code of block length n and rate r over alphabet Σ. Also suppose that C is (γ, , L)-list-recoverable in time T (n). Further, assume that there exists a d-regular Ramanujan expander H on n vertices for d 4 .

Let γ be a generator of the multiplicative group F∗ , and let the evaluation points be ordered as 1, γ, γ 2 , . . , γ n−1 . Using all nonzero field elements as evaluation points is one of the most commonly used instantiations of Reed–Solomon codes. Let m 1 be an integer parameter called the folding parameter. For ease of presentation, we will assume that m divides n = q − 1. 1. (Folded Reed–Solomon code) The m-folded version of the RS code C, denoted FRSF,γ,m,k , is a code of block length N = n/m over Fm .

In this chapter, we will describe this combined code and algorithm. We note that this presentation deviates significantly from the historical development in the original papers [37,62], in that we are using the benefit of hindsight to give a self-contained, and hopefully simpler, presentation. The last section of this chapter contains more comprehensive bibliographic notes on the original development of this material. 1 Description of folded codes Consider a Reed–Solomon code C = RSF,F∗ [n, k] consisting of evaluations of degree k polynomials over F at the set F∗ of nonzero elements of F.

Download PDF sample

Rated 4.57 of 5 – based on 43 votes