PREFIX PICTURE CODES: A DECIDABLE CLASS OF TWO-DIMENSIONAL CODES

被引：14

作者：

Anselmo, Marcella ^{[1
]}

Giammarresi, Dora ^{[2
]}

Madonia, Maria ^{[3
]}

机构：

[1] Univ Salerno, Dipartimento Informat, I-84084 Fisciano, SA, Italy

[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[3] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE | 2014年 / 25卷 / 08期

关键词：

Two-dimensional languages; codes; prefix codes; maximality; completeness;

D O I：

10.1142/S0129054114400218

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A twodimensional code of pictures is defined as a set X subset of Sigma** such that any picture over Sigma is tilable in at most one way with pictures in X. It is proved that in general it is undecidable whether a finite set of picture is a code. The subclass of prefix codes is introduced and it is proved that it is decidable whether a finite set of pictures is a prefix code. :Further a polynomial time decoding algorithm for finite prefix codes is given. Maximality and completeness of finite prefix codes are studied.

引用

页码：1017 / 1031

页数：15

共 50 条

[21] TWO-DIMENSIONAL DOT CODES FOR PRODUCT IDENTIFICATION
VANGILS, WJ
IEEE TRANSACTIONS ON INFORMATION THEORY, 1987, 33 (05) : 620 - 631
[22] Bounds on the capacity of constrained two-dimensional codes
Forchhammer, S
Justesen, J
IEEE TRANSACTIONS ON INFORMATION THEORY, 2000, 46 (07) : 2659 - 2666
[23] Two-dimensional charge constrained modulation codes
Lin, Y.
Liu, P.-H.
1997, IEEE, Piscataway, NJ, United States (33)
[24] A Note on Two-Dimensional Optical Orthogonal Codes
Shen, Lin-Zhi
Guang, Xuan
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2015, E98A (10): : 2207 - 2208
[25] Erasure decoding of two-dimensional color codes
Aloshious, Arun B.
Sarvepalli, Pradeep Kiran
PHYSICAL REVIEW A, 2019, 100 (04)
[26] Two-dimensional burst-correcting codes
Schwartz, M
Etzion, T
2004 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS, 2004, : 397 - 397
[27] Two-dimensional charge constrained modulation codes
Lin, YY
Liu, PH
IEEE TRANSACTIONS ON MAGNETICS, 1997, 33 (03) : 2451 - 2458
[28] A survey of two-dimensional codes for optical CDMA
Stroica, Petre
Vladescu, Marian
Ian, Ovidiu
ADVANCED TOPICS IN OPTOELECTRONICS, MICROELECTRONICS, AND NANOTECHNOLOGIES III, 2007, 6635
[29] Two-dimensional orthogonal complete complementary codes
Farkas, P
Turcsány, M
SYMPOTIC'03: JOINT IST WORKSHOP ON MOBILE FUTURE & SYMPOSIUM ON TRENDS IN COMMUNICATIONS, PROCEEDINGS, 2003, : 21 - 24
[30] Two classes of languages related to the prefix codes
Zhang, RH
Cai, YY
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2004, 81 (01) : 1 - 7

← 1 2 3 4 5 →