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Campopiano-type bounds in non-Hamming array coding
- Source :
-
Linear Algebra & its Applications . Jan2007, Vol. 420 Issue 1, p135-159. 25p. - Publication Year :
- 2007
-
Abstract
- Abstract: Campopiano [C.N. Campopiano, Bounds on burst error correcting codes, IRE Trans. IT-8 (1962) 257–259] obtained an upper bound for burst error correction in classical coding systems where codes are subsets/subspaces of the space , the space of all n-tuples with entries from a finite field F q equipped with the Hamming metric. In [S. Jain, Bursts in m-metric array codes, Linear Algebra Appl., in press], the author introduced the notion of burst errors for m-metric array coding systems where m-metric array codes are subsets/subspaces of the space Mat m×s (F q ), the linear space of all m × s matrices with entries from a finite field F q , endowed with a non-Hamming metric and obtained some lower bounds for burst error correction. In this paper, we obtain various construction upper bounds on the parameters of m-metric array codes for the detection and correction of burst errors. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*MATHEMATICAL analysis
*MATRICES (Mathematics)
*VECTOR spaces
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 420
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 23215246
- Full Text :
- https://doi.org/10.1016/j.laa.2006.06.021