Multiply Constant-Weight Codes and the Reliability of Loop Physically Unclonable Functions

被引:23
作者
Chee, Yeow Meng [1 ]
Cherif, Zouha [2 ,3 ]
Danger, Jean-Luc [2 ,4 ]
Guilley, Sylvain [2 ,4 ]
Kiah, Han Mao [1 ]
Kim, Jon-Lark [5 ]
Sole, Patrick [2 ,6 ]
Zhang, Xiande [1 ]
机构
[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore
[2] Telecom ParisTech, Inst Mines Telecom, F-75634 Paris, France
[3] Univ Lyon, Lab Hubert Curien, F-42000 St Etienne, France
[4] Secure IC SAS, F-35700 Rennes, France
[5] Sogang Univ, Dept Math, Seoul 121742, South Korea
[6] King Abdulaziz Univ, Dept Math, Jeddah 22254, Saudi Arabia
基金
新加坡国家研究基金会;
关键词
Constant-weight codes; doubly constant-weight codes; multiply constant-weight codes; physically unclonable functions; UPPER-BOUNDS; CONSTRUCTIONS; TABLE;
D O I
10.1109/TIT.2014.2359207
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We introduce the class of multiply constant-weight codes to improve the reliability of certain physically unclonable function response, and extend classical coding methods to construct multiply constant-weight codes from known q-ary and constant-weight codes. We derive analogs of Johnson bounds and give constructions showing these bounds to be asymptotically tight up to a constant factor under certain conditions. We also examine the rates of multiply constant-weight codes and demonstrate that these rates are the same as those of constant-weight codes of corresponding parameters.
引用
收藏
页码:7026 / 7034
页数:9
相关论文
共 33 条
[1]  
Abel R., 2007, HDB COMBINATORIAL DE, Vsecond, P124
[2]   Upper bounds for constant-weight codes [J].
Agrell, E ;
Vardy, A ;
Zeger, K .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2000, 46 (07) :2373-2395
[3]  
Agrell E., ERIK AGRELLS TABLES
[4]   Nonlinear codes: The product construction [J].
Amrani, Ofer .
IEEE TRANSACTIONS ON COMMUNICATIONS, 2007, 55 (10) :1845-1851
[5]  
[Anonymous], 1978, The Theory of Error-Correcting Codes
[6]   CONSTRUCTIONS AND BOUNDS FOR SYSTEMATIC TEC/AUED CODES [J].
BOINCK, FJH ;
VANTILBORG, HCA .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (06) :1381-1390
[7]  
Brouwer A. E., 2013, BOUNDS BINARY CONSTA
[8]   A NEW TABLE OF CONSTANT WEIGHT CODES [J].
BROUWER, AE ;
SHEARER, JB ;
SLOANE, NJA ;
SMITH, WD .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (06) :1334-1380
[9]  
Chee YM, 2013, IEEE INT SYMP INFO, P2870, DOI 10.1109/ISIT.2013.6620750
[10]  
Chee YM, 2014, IEEE INT SYMP INFO, P1441, DOI 10.1109/ISIT.2014.6875071