On The Communication Complexity of High-Dimensional Permutations
نویسندگان
چکیده
We study the multiparty communication complexity of high dimensional permutations, in the Number On the Forehead (NOF) model. This continues and extends the study of the Exact-T functions [9], and in particular the Exactly-n function from Chandra, Furst and Lipton’s seminal paper [11] in which the NOF model was introduced. We improve the known lower bounds on Exact-T functions and extend these bounds to all high dimensional permutations. To this end we introduce several new tools into this area. In addition, we discover new and unexpected connections between the NOF communication complexity of high dimensional permutations and a variety of well known and thoroughly studied problems in combinatorics. ∗Supported in part by ERC grant 339096, High-dimensional combinatorics.
منابع مشابه
3D Scene and Object Classification Based on Information Complexity of Depth Data
In this paper the problem of 3D scene and object classification from depth data is addressed. In contrast to high-dimensional feature-based representation, the depth data is described in a low dimensional space. In order to remedy the curse of dimensionality problem, the depth data is described by a sparse model over a learned dictionary. Exploiting the algorithmic information theory, a new def...
متن کاملExtension of Cube Attack with Probabilistic Equations and its Application on Cryptanalysis of KATAN Cipher
Cube Attack is a successful case of Algebraic Attack. Cube Attack consists of two phases, linear equation extraction and solving the extracted equation system. Due to the high complexity of equation extraction phase in finding linear equations, we can extract nonlinear ones that could be approximated to linear equations with high probability. The probabilistic equations could be considered as l...
متن کاملConnections, Communication and Collaboration in Healthcare’s Complex Adaptive Systems; Comment on “Using Complexity and Network Concepts to Inform Healthcare Knowledge Translation”
A more sophisticated understanding of the unpredictable, disorderly and unstable aspects of healthcare organisations is developing in the knowledge translation (KT) literature. In an article published in this journal, Kitson et al introduced a new model for KT in healthcare based on complexity theory. The Knowledge Translation Complexity Network Model (KTCNM) provides a fresh perspective by mak...
متن کاملDistance-Aware Beamforming for Multiuser Secure Communication Systems
Typical cryptography schemes are not well suited for low complexity types of equipment, e.g., Internet of things (IoT) devices, as they may need high power or impose high computational complexity on the device. Physical (PHY) layer security techniques such as beamforming (in multiple antennas systems) are possible alternatives to provide security for such applications. In this paper, we consid...
متن کاملA Stream Cipher Based on Chaotic Permutations
In this paper we introduce a word-based stream cipher consisting of a chaotic part operating as a chaotic permutation and a linear part, both of which designed on a finite field. We will show that this system can operate in both synchronized and self-synchronized modes. More specifically, we show that in the self-synchronized mode the stream cipher has a receiver operating as an unknown input o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/1706.02207 شماره
صفحات -
تاریخ انتشار 2017