Open problem 2: Cyclic codes over rings and p-adic fields

2006 ◽  
pp. 329-329 ◽  
Author(s):  
Patrick Solé
Keyword(s):  
Open Problem ◽  
Cyclic Codes ◽  
Codes Over Rings

scholarly journals DNA cyclic codes over rings

2017 ◽  
Vol 11 (1) ◽  
pp. 83-98 ◽  
Author(s):  
Nabil Bennenni ◽  
◽  
Kenza Guenda ◽  
Sihem Mesnager ◽  
Keyword(s):  
Cyclic Codes ◽  
Codes Over Rings

scholarly journals Efficient One-Time Signatures from Quasi-Cyclic Codes: A Full Treatment

Cryptography ◽  
2018 ◽  
Vol 2 (4) ◽  
pp. 30 ◽  
Author(s):  
Edoardo Persichetti
Keyword(s):  
Quantum Cryptography ◽  
Open Problem ◽  
Cyclic Codes ◽  
Security Analysis ◽  
Short Paper ◽  
Signature Scheme ◽  
Full Version ◽  
And Performance ◽  
Post Quantum Cryptography ◽  
Quasi Cyclic Codes

The design of a practical code-based signature scheme is an open problem in post-quantum cryptography. This paper is the full version of a work appeared at SIN’18 as a short paper, which introduced a simple and efficient one-time secure signature scheme based on quasi-cyclic codes. As such, this paper features, in a fully self-contained way, an accurate description of the scheme setting and related previous work, a detailed security analysis, and an extensive comparison and performance discussion.

scholarly journals On an open problem about a class of optimal ternary cyclic codes

2019 ◽  
Vol 59 ◽  
pp. 335-343 ◽  
Author(s):  
Dongchun Han ◽  
Haode Yan
Keyword(s):  
Open Problem ◽  
Cyclic Codes

scholarly journals Quasi-cyclic codes as codes over rings of matrices

2010 ◽  
Vol 16 (2) ◽  
pp. 100-115 ◽  
Author(s):  
Pierre-Louis Cayrel ◽  
Christophe Chabot ◽  
Abdelkader Necer
Keyword(s):  
Cyclic Codes ◽  
Codes Over Rings ◽  
Quasi Cyclic Codes

A Large Class of p-Ary Cyclic Codes and Sequence Families

2010 ◽  
Vol E93-A (11) ◽  
pp. 2272-2277
Author(s):  
Zhengchun ZHOU ◽  
Xiaohu TANG ◽  
Udaya PARAMPALLI
Keyword(s):  
Large Class ◽  
Cyclic Codes

A Family of q-Ary Cyclic Codes with Optimal Parameters

2020 ◽  
Vol E103.A (3) ◽  
pp. 631-633
Author(s):  
Wenhua ZHANG ◽  
Shidong ZHANG ◽  
Yong WANG ◽  
Jianpeng WANG
Keyword(s):  
Cyclic Codes ◽  
Optimal Parameters

The Yukawa Potential Function and Reciprocal Univalent Function

2013 ◽  
Vol 3 (2) ◽  
pp. 197-202
Author(s):  
Amir Pishkoo ◽  
Maslina Darus
Keyword(s):  
Mathematical Model ◽  
Unit Disk ◽  
Potential Function ◽  
Univalent Function ◽  
Open Problem ◽  
Yukawa Potential ◽  
Reciprocal Theorem ◽  
Problem Statement ◽  
Fundamental Forces

This paper presents a mathematical model that provides analytic connection between four fundamental forces (interactions), by using modified reciprocal theorem,derived in the paper, as a convenient template. The essential premise of this work is to demonstrate that if we obtain with a form of the Yukawa potential function [as a meromorphic univalent function], we may eventually obtain the Coloumb Potential as a univalent function outside of the unit disk. Finally, we introduce the new problem statement about assigning Meijer's G-functions to Yukawa and Coloumb potentials as an open problem.

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