Saidi S., Codes for perfectly correcting errors of limited size, Discrete Mathematics 118 (1993) 207-223. In this paper we study an analogue of perfect codes: codes that perfectly correct errors of limited size, assuming that there is a bound on the number of these errors. Stein's (m, n) crosses (
Upper bounds on the size of error-correcting runlength-limited codes
β Scribed by Winick, Kim A. ;Yang, Shih-Hsuan
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 757 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1124-318X
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β¦ Synopsis
The maximum achievable rate of an error-correcting runlength-limited code is consid-ered. Runlength-limited codes find wide appIications in magnetic and optical recording, baseband. pulse transmission, and fiber optic communications. When a runlength-limited code is used on a noisy channel, error-correction control is often needed in order to obtain the desired system reliability. It is well-known that the error-correcting capability of a code is closely related to its distance properties. In this paper, asymptotic upper bounds for the maximum achievable rate of a runlength-limited code are derived as a function of the code's minimum Hamming distance.
π SIMILAR VOLUMES
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Let D = {B1 , B2 , . . . , B b } be a finite family of k-subsets (called blocks) of a vset X(v) = {1, 2, . . . , v} (with elements called points). Then D is a (v, k, t) covering design or covering if every t-subset of X(v) is contained in at least one block of D. The number of blocks, b, is the size
Let D be a finite family of k-subsets (called blocks) of a v-set X(v). Then D is a (v, k, t) covering design or covering if every t-subset of X(v) is contained in at least one block of D. The number of blocks is the size of the covering, and the minimum size of the covering is called the covering nu