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- Title
Linear Codes Correcting Repeated Bursts Equipped with Homogeneous Distance.
- Authors
Das, Pankaj Kumar; Kumar, Subodh
- Abstract
The homogeneous weight (metric) is useful in the construction of codes over a ring of integers Z p l (p prime and l ≥ 1 an integer). It becomes Hamming weight when the ring is taken to be a finite field and becomes Lee weight when the ring is taken to be Z 4 . This paper presents homogeneous weight distribution and total homogeneous weight of burst and repeated burst errors in the code space of n-tuples over Z p l . Necessary and sufficient conditions for existence of an (n, k) linear code over Z p l correcting the error patterns with respect to the homogeneous weight are derived.
- Subjects
ERROR-correcting codes; RINGS of integers; LINEAR codes; FINITE fields; HAMMING weight; INTEGERS
- Publication
Theory of Computing Systems, 2024, Vol 68, Issue 3, p512
- ISSN
1432-4350
- Publication type
Article
- DOI
10.1007/s00224-024-10166-y