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 lengthening of covering codes
β Scribed by Iiro Honkala
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 278 KB
- Volume
- 106-107
- Category
- Article
- ISSN
- 0012-365X
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β¦ 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.
π SIMILAR VOLUMES
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
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