Cyclic cellularity and active sums
نویسندگان
چکیده
منابع مشابه
Exponential Sums, Gauss Sums and Cyclic Codes
The dissertation consists of three articles in which the evaluation of certain exponential sums and Gauss sums and bounds for the absolute values of exponential sums are considered. The summary part of the thesis provides interpretations in terms of coding theory for the results obtained in the articles.
متن کاملExponential sums, Gauss sums and irreducible cyclic codes
In this paper we shall develope a recursive method for computing exponential sums and Gauss sums in so called index 2 case. The method allows us to generalize previous results obtained by Baumert, Mykkeltveit and van der Vlugt.
متن کاملZero Sums in Finite Cyclic Groups
Let Cn be the cyclic group of n elements, and let S = (a1, · · · , ak) be a sequence of elements in Cn. We say that S is a zero sequence if ∑k i=1 ai = 0 and that S is a minimal zero-sequence if S is a zero sequence and S contains no proper zero subsequence. In this paper we prove, among other results, that if S is a minimal zero sequence of elements in Cn and |S| ≥ n − [ 3 ] + 1, then there ex...
متن کاملGauss Sums, Jacobi Sums, and p-Ranks of Cyclic Difference Sets
We study quadratic residue diierence sets, GMW diierence sets, and difference sets arising from monomial hyperovals, all of which are (2 d ?1; 2 d?1 ?1; 2 d?2 ?1) cyclic diierence sets in the multiplicative group of the nite eld F 2 d of 2 d elements, with d 2: We show that, except for a few cases with small d, these diierence sets are all pair-wise inequivalent. This is accomplished in part by...
متن کاملEntropy Inequalities for Sums in Prime Cyclic Groups
Lower bounds for the Rényi entropies of sums of independent random variables taking values in cyclic groups of prime order, or in the integers, are established. The main ingredients of our approach are extended rearrangement inequalities in prime cyclic groups building on Lev (2001), and notions of stochastic ordering. Several applications are developed, including to discrete entropy power ineq...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2015
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-015-0807-9