✦ LIBER ✦

Classification of binary covering codes

✍ Scribed by Patric R. J. Östergård; William D. Weakley

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 147 KB
Volume: 8
Category: Article
ISSN: 1063-8539
DOI: 10.1002/1520-6610(2000)8:6<391::aid-jcd1>3.0.co;2-r

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Asymmetric Binary Covering Codes

✍ Joshua N Cooper; Robert B Ellis; Andrew B Kahng 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 170 KB

An asymmetric binary covering code of length n and radius R is a subset C of the n-cube Q n such that every vector x 2 Q n can be obtained from some vector c 2 C by changing at most R 1's of c to 0's, where R is as small as possible. K þ ðn; RÞ is defined as the smallest size of such a code. We show

Optimal binary covering codes of length

Optimal binary covering codes of length 2j

✍ William D. Weakley 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB

## Abstract The minimum size of a binary covering code of length __n__ and covering radius __r__ is denoted by __K__(__n__,__r__), and codes of this length are called optimal. For __j__ > 0 and __n__ = 2^__j__^, it is known that __K__(__n__,1) = 2 · __K__(__n__−1,1) = 2^__n − j__^. Say that two bin

An updated table of binary/ternary mixed

An updated table of binary/ternary mixed covering codes

✍ Riccardo Bertolo; Patric R. J. Östergård; William D. Weakley 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 161 KB

## Abstract An updated table of __K__~2,3~(__b__,__t__;__R__)—the minimum cardinality of a code with __b__ binary coordinates, __t__ ternary coordinates, and covering radius __R__—is presented for __b__ + __t__ ≤ 13, __R__ ≤ 3. The results include new explanations of short binary and ternary coveri

Injury classification and the internatio

Injury classification and the international classification of diseases codes

✍ Susan P. Baker 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 228 KB

Improvements in the widely used International Classification of Diseases (ICD) are important to our ability to study and prevent injuries. ICD "N codes" would be far more useful if they provided more detail, especially for internal injuries, and if they were modified to facilitate conversion to the

The Asymptotic Number of Inequivalent Bi

The Asymptotic Number of Inequivalent Binary Codes and Nonisomorphic Binary Matroids

✍ Marcel Wild 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 139 KB

The asymptotic value as nPR of the number b(n) of inequivalent binary n-codes is determined. It was long known that b(n) also gives the number of nonisomorphic binary n-matroids.

The construction of periodically time-va

The construction of periodically time-variant convolutional codes using binary linear block codes

✍ Naonori Ogasahara; Manabu Kobayashi; Shigeichi Hirasawa 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 483 KB

## Abstract In 1996 Rosenthal and York proposed (time‐invariant) BCH convolutional codes [4] in which the parity check matrix of a BCH code is used in the construction of the convolutional code. The lower bound on the minimum free distance of a BCH convolutional code is guaranteed by the BCH limit.