Trace representation and linear complexity of binary-th residue sequences

A new amylase inhibitor, called Amylostatin-A, which can be distinguished from those disclosed heretofore on the basis of its constitution, molecular weight, specificity for certain types of amylase and adsorbability, is obtained by cultivating a strain of actinomycetes belonging to Streptomyces diastaticus var. amylostaticus FERM P-2499 in a medium containing starch, preferably amylopectin, as the sole source of carbon; the conditions of cultivation, methods of isolation and purification and therapeutical application thereof are disclosed.

[1]  K. Williams,et al.  Gauss and Jacobi sums , 2021, Mathematical Surveys and Monographs.

[2]  Hong-Yeop Song,et al.  Trace representation of Legendre sequences of Mersenne prime period , 1996, IEEE Trans. Inf. Theory.

[3]  Richard J. Turyn The Linear Generation of the Legendre Sequence , 1964 .

[4]  T. Storer Cyclotomy and difference sets , 1967 .

[5]  K. Conrad,et al.  Finite Fields , 2018, Series and Products in the Development of Mathematics.

[6]  L. D. Baumert Cyclic Difference Sets , 1971 .

[7]  N. Zierler Linear Recurring Sequences , 1959 .

[8]  Solomon W. Golomb,et al.  Shift Register Sequences , 1981 .

[9]  Cunsheng Ding Linear complexity of generalized cyclotomic sequences of order 2 , 1997 .

[10]  Marvin K. Simon,et al.  Spread Spectrum Communications Handbook , 1994 .

[11]  C. Ding,et al.  Stream Ciphers and Number Theory , 1998 .

[12]  Cunsheng Ding,et al.  Duadic sequences of prime lengths , 2000, Discret. Math..

[13]  Hong-Yeop Song,et al.  Trace Representation of Legendre Sequences , 2001, Des. Codes Cryptogr..

[14]  Hong-Yeop Song,et al.  On the existence of cyclic Hadamard difference sets , 1999 .

[15]  S. Golomb Construction of Signals with Favorable Correlation Properties , 1999 .

[16]  J. Singer A theorem in finite projective geometry and some applications to number theory , 1938 .

[17]  Cunsheng Ding,et al.  Several classes of binary sequences with three-level autocorrelation , 1999, IEEE Trans. Inf. Theory.

[18]  Hong-Yeop Song,et al.  On the linear complexity of Hall's sextic residue sequences , 2001, IEEE Trans. Inf. Theory.