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On the Binary Sequences with Indistinguishable Signature for a Given Error Multiplicity in Electronic Testing
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Date
1995Publisher
Journal of The Institution of Engineers, SingaporeCitation
On the Binary Sequences with Indistinguishable Signature for a Given Error Multiplicity in Electronic Testing / S. Demidenko [et al.] // Journal of The Institution of Engineers, Singapore. Electronics and Computer Engineering. – 1995. – Vol. 35, № 1. – P. 63–66.Abstract
Distinct binary seąuences (2 ͫ – 1 bits long) may be compressed by an m-bit signature register into the same signature ualue, when a given error multiplicity is considered. Analytical expressions to compute the number of distinct seąuences collapsed into the same signature are presented, by exploiting the properties of the binary Hamming codę theory and of the binomial coefficients.
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