Remarks on the k-error linear complexity of p(n)-periodic sequences

Meidl, Wilfried and Venkateswarlu, Ayineedi (2007) Remarks on the k-error linear complexity of p(n)-periodic sequences. Designs, Codes, and Cryptography, 42 (2). pp. 181-193. ISSN 0925-1022 (Print) 1573-7586 (Online)

[thumbnail of This is a RoMEO green publisher -- author can archive pre-print (ie pre-refereeing) and post-print (ie final draft post-refereeing)] PDF (This is a RoMEO green publisher -- author can archive pre-print (ie pre-refereeing) and post-print (ie final draft post-refereeing))
3011800000282.pdf

Download (167kB)

Abstract

Recently the first author presented exact formulas for the number of 2ⁿn-periodic binary sequences with given 1-error linear complexity, and an exact formula for the expected 1-error linear complexity and upper and lower bounds for the expected k-error linear complexity, k >2, of a random 2ⁿn-periodic binary sequence. A crucial role for the analysis played the Chan-Games algorithm. We use a more sophisticated generalization of the Chan-Games algorithm by Ding et al. to obtain exact formulas for the counting function and the expected value for the 1-error linear complexity for pⁿn-periodic sequences over Fp, p prime. Additionally we discuss the calculation of lower and upper bounds on the k-error linear complexity of pⁿn-periodic sequences over Fp.
Item Type: Article
Uncontrolled Keywords: linear complexity; k-error linear complexity; Chan-Games algorithm; periodic sequences; stream cipher
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Wilfried Meidl
Date Deposited: 17 Nov 2006 02:00
Last Modified: 04 Sep 2019 09:39
URI: https://research.sabanciuniv.edu/id/eprint/44

Actions (login required)

View Item
View Item