Title :
The capacity of some hexagonal (d,k)-constraints
Author :
Kukorelly, Zsolt ; Zeger, Kennetb
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., San Diego, La Jolla, CA, USA
Abstract :
We consider two-dimensional binary codes whose bits lie on a hexagonal lattice and satisfy a (d,k) constraint in six directions. We prove that the capacity is zero if k=d+2 and give positive lower bounds on the capacity for k⩾4[d/2]+1
Keywords :
binary codes; 2D binary codes; binary sequence; capacity; hexagonal constraints capacity; hexagonal lattice; positive lower bounds; Binary codes; Lattices;
Conference_Titel :
Information Theory, 2001. Proceedings. 2001 IEEE International Symposium on
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-7123-2
DOI :
10.1109/ISIT.2001.935927
