Irina Naydenova

Learn More
Bose and Lin introduced a class of systematic codes for detection of binary asymmetric errors. Later, in [4] this class was generalized and the Generalized Bose-Lin (GBL) codes were introduced. In this note, we describe a Generalized Bose-Lin codes of limited magnitude l. For these codes, the possible undetectable errors are characterized, the undetectable(More)
Linear codes for error detection on a q-ary symmetric channel are studied. It is shown that for given dimension k and minimum distance d, there exists a value mu(d, k) such that if C is a code of length n ges mu(d,k), then neither C nor its dual C<sup>perp</sup> are good for error detection. For d Gt k or k Gt d good approximations for mu(d, k) are given. A(More)
This paper is devoted to the non-symmetric channels. Here we will present t-EC-AUED codes. Böinck and van Tilborg gave a bound on the length of binary t-EC-AUED codes. A generalization of this bound to arbitrary alphabet size is given. This generalized Böinck van Tilborg bound, combined with constructions, is used to determine the length of some optimal(More)
Codes that can correct up to <i>t</i> symmetric errors and detect all unidirectional errors are studied. BOumlinck and van Tilborg gave a bound on the length of binary such codes. A generalization of this bound to arbitrary alphabet size is given. This generalized BOumlinck-van Tilborg bound, combined with constructions, is used to determine some optimal(More)
Codes for error detection on a <i>q</i>-ary symmetric channel are studied. Whether a code is good or not for error detection (in the technical sense) depends on the structure of the code. For some combinations of the main parameters length, size, and minimum distance, all code are good and for some other combinations all are ugly (stronger than not good).(More)
An error model with asymmetric errors of limited magnitude is a good model for some multilevel flash memories. This paper is about constructions of codes correcting such errors. The main results are about codes correcting a single such error and codes of length <i>m</i> correcting all errors in <i>m</i>-1 or less positions.
  • 1