Titlebook: Sequences and Their Applications - SETA 2004; Third International Tor Helleseth,Dilip Sarwate,Kyeongcheol Yang Conference proceedings 2005

Rinne-Test

New Families of ,-Ary Sequences from Quadratic Form with Low Correlation and Large Linear Spanto transform the problem of computing exponential sums into determining the weights of certain quadratic forms. We use this idea to define two new families of non-binary sequences and determine their correlation properties. The new families of sequences possess low correlation and large linear compl

Substance

cataract

Asparagus

Discrete Fourier Transform, Joint Linear Complexity and Generalized Joint Linear Complexity of Multi in the extension field .. The linear complexity . of ., i.e. the length of the shortest recurrence relation with coefficients in . that . satisfies, may be significantly smaller than .(..,..,..., ..). We investigate relations between . and .(..,..,..., ..), in particular we establish lower bounds on . expressed in terms of .(..,..,..., ..).

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GIBE

On the Generalized Lauder-Paterson Algorithm and Profiles of the ,-Error Linear Complexity for Expon memory and computation complexities of proposed algorithm. Moreover numerical examples of profiles for balanced binary and ternary exponent periodic sequences, and proposed algorithm for a sequence over .(3) with period 9(= 3.) are given.

宣称

On the 2-Adic Complexity and the k-Error 2-Adic Complexity of Periodic Binary Sequences complexity and derive a lower bound on the expected value of the symmetric 2-adic complexity of periodic binary sequences. Because the 2-adic complexity of periodic binary sequences is unstable, we present the concepts of the k-error 2-adic complexity and the k-error symmetric 2-adic complexity, and lower bounds on them are also derived.

maculated

Cross-Correlation Properties of Perfect Binary Sequencesion properties between perfect sequences. We give a lower bound for the maximum cross-correlation coefficient between arbitrary perfect sequences. We conjecture that this bound is not best possible. Furthermore, we determine perfect sequences with provable good correlation properties.

HALL

Quadriphase Sequences Obtained from Binary Quadratic Form Sequencesbinary sequences based on quadratic forms. The study uses only the properties of Galois fields instead of Galois rings. We demonstrate the theory by constructing a new family of .. sequences with low correlation property.

大暴雨

Almost-Perfect and Odd-Perfect Ternary Sequencesperfect 4-phase and 8-phase sequences with some zeroes can be derived from these OPT sequences. The obtained APT sequences of length 4(.. + 1), . > 3 and . – any even positive integer, possess length uniqueness in comparison with known almost-perfect binary sequences.