Titlebook: Algebraic Coding; First French-Soviet Gérard Cohen,Antoine Lobstein,Simon Litsyn Conference proceedings 1992 Springer-Verlag Berlin Heidel

jumble

A fast search for the maximum element of the fourier spectrum,An algorithm for determining the index of the maximum spectrum element of the Fourier transform is proposed. Its complexity is linear in the length of the processed sequence. The algorithm leads to the correct decision if the Euclidean distance between the sequence and a basis vector does not exceed √(q/2), where q is the length of the sequence.

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Coronation

Decoding for multiple-access channels,We discuss some results in coding and decoding for multiple-access channels. A new approach to choosing codes and users‘ energies for that channel is described. For the case when a bit error probability and a decoding complexity are fixed we construct a region of achievable code rates.

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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/a/image/152557.jpg

Delirium

On the correlation of sequences,at the moduli of certain character sums can be calculated in a very easy way by using a modification of a method of Sidelnikov. These results yield a very simple way to calculate .. for nonbinary sequences found by Kumar and Moreno and for those found by Liu and Komo.

esthetician

Exponential sums and constrained error-correcting codes,. are slowly growing functions in the code length .. We show also that constructed codes are comma-free and detect synchronization errors even at high rate of additive errors. To prove these properties of constructed codes, we apply some well-known inequalities for incomplete sums of characters of polynomials.

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步兵

Conference proceedings 1992 in Leningrad (nowSt. Petersburg) in 1990, was to bring together someof thebest Soviet coding theorists. Scientists from France,Finland, Germany, Israel, Italy, Spain, and the UnitedStates also attended.The papers in the volume fall rather naturally into fourcategories:-Applications of exponential sums- Covering radius- Constructions-Decoding.

Charitable

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