A construction technique for charge constrained (1, k⩾4) codes

Author

Lin, Yinyi ; Liu, Pi-Hai

Author_Institution

Dept. of Electr. Eng., Nat. Central Univ., Chung-Li, Taiwan

Volume

31

Issue

6

fYear

1995

fDate

11/1/1995 12:00:00 AM

Firstpage

3081

Lastpage

3083

Abstract

Modulation codes used in some digital recording systems must satisfy the charge constraint in addition to the (d, k) constraint. A construction technique is presented in this work for charge constrained (1, k⩾4) codes. The construction technique is based on a merging bit rule and dklr-sequences with l=r=k-3. Decoding of the constructed codes is state independent, and no error propagation occurs during decoding. The generating function of dklr-sequences is derived with information regarding sequence length, charge and weight; and coding rate of charge constrained (1, k⩾4) codes is tabulated. A comparison is also made of the efficiency of a (1, 5, 10) code with coding rate 8/16 constructed by this technique with that of the M² (1, 5, 3) code when used with error correcting codes

Keywords

binary sequences; decoding; digital magnetic recording; error correction codes; modulation coding; runlength codes; (1, 5, 10) code; (1, k⩾4) codes; (d, k) constraint; ECC; RLL codes; charge constrained codes; coding rate; construction technique; digital recording systems; dklr-sequences; error correcting codes; generating function; merging bit rule; modulation codes; run length limited codes; state independent decoding; Binary sequences; Decoding; Density functional theory; Digital modulation; Digital recording; Error correction codes; Frequency; Merging; Modulation coding; Upper bound;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.490276

Filename

490276