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

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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 p
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Position recovery on a circle based on coding theory, in respect to a defined starting position. This can be useful for example for position recovery on a rotating device. Known sequences which can serve this purpose are the de-Bruijn sequences of periodicity 2. or maximal sequences of periodicity 2. −1. Both such sequences have the property that any
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Cheng Huang,Xuemin (Sherman) Shenstructure under which location indices that belong to the same cyclotomic coset are assigned the same value. A new class of binary sequences of periodicity 2. −1, characterized by the same structure (location indices that belong to the same cyclotomic coset are assigned the same value) is presented
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On Gaussian sums for finite fields and elliptic curves,
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