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It is shown that a QOS sequence may be regarded as a class of bent (almost bent) functions possessing, in addition, a certain window property. ... A general procedure of constructing QOS's from well-known families of binary sequences with good correlation, including the Kasami and Gold sequence families, as well as from the binary Kerdock code is ... In order to maximize the size of , it is necessary to maximize . The definition below relates to the maximum possible value of . ...doi:10.1109/18.841175 fatcat:uk4tntrunfcuph6dhoa6cbijbu
Conditions are given for some families of the quadriphase sequences constructed by some real-valued bent functions to be balanced. ... The real-valued bent function was used to construct a family of 2”/2 balanced quadriphase sequences of period 2” —1 with optimal periodic correlation properties, where n is a multiple of 4. ...
Consequently, the cardinality of a family of OSW sequences of length 2"—1 cannot exceed 2”/*. We also describe methods of selecting a maximal set of orthogonal bent functions.” ... The problem of choosing estimates that are optimal in the sense of rate of convergence is solved.” 84b:94009 Lempel, Abraham; Cohn, Martin 84b:94010 Maximal families of bent sequences. IEEE Trans. ...
The crosscorrelation of maximal length linear shift register sequences is a well-studied problem that has many applications in sequence designs. ... In recent years, the study of p-ary bent functions has received a lot of attention and several new functions have been found that are related to the crosscorrelation function and that lead to new connections ... Since n consecutive elements of the sequence determine the sequence completely, the maximal period for a recursion of degree n is p n − 1. ...doi:10.1007/s12095-011-0048-0 fatcat:nxjlk6z7lbgdhdcx2bywdrrfra
Lecture Notes in Computer Science
Bent functions have maximal minimum distance to the set of affine functions. In other words, they achieve the maximal minimum distance to all the coordinate functions of affine monomials. ... In this paper we introduce a new class of bent functions which we call hyper-bent functions. ... We would like to thank Claude Carlet for encouraging us to keep the "hyper-bent" term and for attracting our attention to references  and  . ...doi:10.1007/3-540-44987-6_25 fatcat:h57djycjm5dvxdvcw7bipowhdm
The symbol distribution of the sequences in the family is enumerated. It is also shown that the linear span of the sequences in the family is ( + 2) except for the -sequence in the family. ... ideal autocorrelation, where the size of the sequence family is . ... the size of the sequence family is . ...doi:10.1109/tit.2004.831837 fatcat:z33soztueffntivr7wip73cusm
We explore geometric, topological, and energetic effects of curvature with an analysis of a family of highly bent sequences, using the elastic rod model from previous work. ... Sequence-dependent intrinsic curvature of DNA influences looping by regulatory proteins such as LacI and NtrC. ... evaluating an entire family of bent sequences. ...doi:10.1529/biophysj.108.142471 pmid:18931251 pmcid:PMC2599832 fatcat:wrjas6aqxvayjdjhclxbf72crm
Measurements of the apparent dissociation constants of MEF-2C complexes with several DNA sequences revealed that MEF-2C bound with high affinity to DNA sequences containing a MEF site. ... However, reducing the intrinsic bendability of the DNA binding site through an AA→GC substitution increased the half-maximal binding concentration of MEF-2C by almost one order of magnitude. ... the manuscript and the members of our laboratory for helpful discussions. ...doi:10.1093/nar/25.22.4537 pmid:9358163 pmcid:PMC147066 fatcat:obe76eqtgzbpdcrhl7xavw4lby
Finally, infinite families of bent functions which cannot be decomposed into four bent functions are exhibited. J.C. ... In particular, if 2 is a primitive root modulo q, then the sequence attains maximal period and is called an /-sequence. ...
The connections between the code design problem, bent functions and algebraic coding theory (in particular, the Kerdock codes and Delsarte-Goethals codes) are exploited to construct code families with ... flexible parameters for the small values of n of practical interest. ... Families of Constant Amplitude Codes from Bent Functions We know that constant amplitude codes consist of bent functions. In this section, we construct some families of codes with this property. ...doi:10.1109/tit.2004.825505 fatcat:th6w5eathfe2lakw5fuxmtnfnq
Here we report the results of a similar investigation of another 25-mer B-DNA fragment now with a natural base pair sequence found in a bent locus of a minicircle DNA. ... Its sequence, however, had never been encountered in experimental studies, but was constructed empirically so as to maximize the magnitude of bending in specific computational conditions. ... Unlike previous MD studies of intrinsically bent DNA sequences, these calculations omit explicit consideration of the role of counterions. ...doi:10.1080/07391102.2001.10506711 pmid:11444372 fatcat:ucdqsgdsdbektjah45sts4np5i
Here we report the results of a similar investigation of another 25-mer B-DNA fragment now with a natural base pair sequence found in a bent locus of a minicircle DNA. ... Its sequence, however, had never been encountered in experimental studies, but was constructed empirically so as to maximize the magnitude of bending in specific computational conditions. ... Unlike previous MD studies of intrinsically bent DNA sequences, these calculations omit explicit consideration of the role of counterions. ...arXiv:physics/0004049v1 fatcat:kaqpqgdkynbsviwcmgkoh6f6uq
A complete comparison of the new family of sequences with the Gold sequence family, the Kasami (small and large set) sequence families, the Bent-function sequence family, and the No sequence family is ... A model of clock- controlled sequences is proposed. The necessary and sufficient condition guaranteeing the maximal linear complexity and the maximal! period of such sequences is given. ...
Characteristic of the CAST family are the expanding substitution boxes where each output bit is a bent function, that is, a maximally nonlinear Boolean function. ... This is a detailed account about the state of the art of the design principles of iterated block ciphers, in general, and of the CAST family, in particular. ...
Thus the results apply to a larger family of periodic sequences than just m-sequences.” 96i:94017 94A60 Beimel, Amos (IL-TECH-C; Haifa); Chor, Benny (IL-TECH-C; Haifa) Communication in key distribution ... Summary: “In this correspondence we derive a new upper bound for the odd and the aperiodic correlations of binary sequences in the small Kasami family. ...
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