𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On lengthening of covering codes

✍ Scribed by Iiro Honkala


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
278 KB
Volume
106-107
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


Honkala, I., On lengthening of covering codes, Discrete Mathematics 106/107 (1992) 291-295.

We study a construction method introduced by Kamps and van Lint and generalized by Blokhuis and Lam, and van Lint jr and show how the theorem of Cauchy and Davenport and other related results about finite fields can be used in the lengthening of covering codes over prime power alphabets.


πŸ“œ SIMILAR VOLUMES


New Codes via the Lengthening of BCH Cod
✍ JΓΌrgen Bierbrauer; Yves Edel; Ludo Tolhuizen πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 118 KB

We describe a code lengthening technique that uses unequal error protection codes as su$x codes and combine it with iteration of the conventional Construction X. By applying this technique to BCH codes, we obtain "ve new binary codes, 13 new ternary codes, and 13 new quarternary codes. An improvemen

On the normality of multiple covering co
✍ Iiro Honkala πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 778 KB

A binary code C of length n is called a p-fold r-covering if every binary word of length n is within Hamming distance r of at least p codewords of C. The normality and the amalgamated direct sum (ADS) construction of l-fold coverings have been extensively studied. In this paper we generalize the con

On the covering radius of cyclic linear
✍ Tor Helleseth πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 781 KB

The problem of finding the covering radius and minimum distance of algebraic and arithmetic codes is shown to be related to Waring's problem i n a finite field and to the theory of cyclotomic numbers. The methods devel oped l ead to new results for the covering radius of certain f-errorcorrecting BC

Classification of binary covering codes
✍ Patric R. J. Γ–stergΓ₯rd; William D. Weakley πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 147 KB