Browsing Matematik / Mathematics by Author "Şiap, Vedat"

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On the Existence of Perfect Linear Codes Over Z(2 ') with Respect to Homogenous Metric

Şiap, Vedat; Özen, Mehmet (SPRINGER HEIDELBERG, 2013)

In this paper, we obtain bounds for error correcting codes of some particular homogeneous weights over the ring of integers modulo . We also study these bounds to check for perfect linear codes and have shown the non-existence ...
The MacWilliams identity for m-spotty Rosenbloom-Tsfasman weight enumerator

Şiap, Vedat (PERGAMON-ELSEVIER SCIENCE LTD, 2014)

The communication systems and disk or tape memory can sometimes cause clusters of errors, namely burst errors. There have been many designs in order to detect and even correct such errors. Recently, a new class of codes ...
The MacWilliams identity for m-spotty weight enumerators of linear codes over finite fields

Özen, Mehmet; Şiap, Vedat (PERGAMON-ELSEVIER SCIENCE LTD, 2011)

Some of the error control codes are applied to high speed memory systems using RAM chips with either 1-bit I/O data (b = 1) or 4-bit I/O data (to = 4). However, modern large-capacity memory systems use RAM chips with 8, ...