Construction of resilient functions

Zhang Jie; Wen Qiao-yan

doi:10.1007/bf02828649

On extractors and exposure-resilient functions for sublogarithmic entropy

Random Structures and Algorithms ◽

10.1002/rsa.20424 ◽

2012 ◽

Vol 42 (3) ◽

pp. 386-401 ◽

Cited By ~ 1

Author(s):

Yakir Reshef ◽

Salil Vadhan

Keyword(s):

Resilient Functions

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New Covering Radius of Reed-Muller Codes for t-Resilient Functions

Selected Areas in Cryptography - Lecture Notes in Computer Science ◽

10.1007/3-540-45537-x_6 ◽

2001 ◽

pp. 75-86 ◽

Cited By ~ 3

Author(s):

Tetsu Iwata ◽

Takayuki Yoshiwara ◽

Kaoru Kurosawa

Keyword(s):

Covering Radius ◽

Resilient Functions

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Effects of Different Roller Profiles on the Microstructure and Peel Strength of the Ultrasonic Welding Joints of Nonwoven Fabrics

Applied Sciences ◽

10.3390/app10124101 ◽

2020 ◽

Vol 10 (12) ◽

pp. 4101

Author(s):

Thanh-hai Nguyen ◽

Le Quang Thanh ◽

Nguyen Huu Loc ◽

Manh Ngo Huu ◽

Anh Nguyen Van

Keyword(s):

Manufacturing Industry ◽

Welding Process ◽

Peel Strength ◽

Ultrasonic Welding ◽

Water Repellent ◽

Nonwoven Fabrics ◽

Melted Zone ◽

Welding Defects ◽

Resilient Functions ◽

Welding Joints

Nonwoven fabrics are widely used in the textile manufacturing industry due to their advanced characteristics, such as their soft, water-repellent, recycle, ecological, and resilient functions. Nowadays, one of the innovated technologies applied to bond nonwoven fabrics is the ultrasonic welding method, due to the advantages afforded by its clean, fast, and reliable approach. In this work, isotactic polypropylene (PP) nonwoven fabrics were bonded by a continuous ultrasonic welding process. In order to consider the influence of the roller on the formation of welding joints and their mechanical properties, different roller profiles were designed, fabricated, and tested. Eight types of roller profiles corresponding to No. 1–No. 8 in the experiments were divided into four groups. After bonding, the microstructure in a typical case (i.e., No. 1) was captured by scanning electron microscopy (SEM) to examine the formation of the welding joints. Additionally, the load and the peel strength of the welding joints of all eight roller profiles were analyzed. The results showed that no welding defects, such as cracks or blowholes, were visible in the melted zone. The load depended on the area ratio(s) of the welding area (S0) to the cycling area (S1). Furthermore, it was found out that the peel strength of the welding joints with brick structures were higher than the peel strength in the case of solid line structures.

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Ideals of Numerical Semigroups and Error-Correcting Codes

Symmetry ◽

10.3390/sym11111406 ◽

2019 ◽

Vol 11 (11) ◽

pp. 1406

Author(s):

Bras-Amorós

Keyword(s):

Secret Sharing ◽

Error Correcting Codes ◽

Numerical Semigroups ◽

Secret Sharing Schemes ◽

List Decoding ◽

Generalized Hamming Weights ◽

Resilient Functions ◽

Weierstrass Semigroups ◽

Hamming Weights ◽

Dual Sequences

Several results relating additive ideals of numerical semigroups and algebraic-geometrycodes are presented. In particular, we deal with the set of non-redundant parity-checks, the codelength, the generalized Hamming weights, and the isometry-dual sequences of algebraic-geometrycodes from the perspective of the related Weierstrass semigroups. These results are related tocryptographic problems such as the wire-tap channel, t-resilient functions, list-decoding, networkcoding, and ramp secret sharing schemes.

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