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|Title:||How many bits have to be changed to decrease the linear complexity?|
k-error linear complexity
|Source:||Meidl, W. (2004-09). How many bits have to be changed to decrease the linear complexity?. Designs, Codes, and Cryptography 33 (2) : 109-122. ScholarBank@NUS Repository. https://doi.org/10.1023/B:DESI.0000035466.28660.e9|
|Abstract:||The k-error linear complexity of periodic binary sequences is defined to be the smallest linear complexity that can be obtained by changing k or fewer bits of the sequence per period. For the period length p n, where p is an odd prime and 2 is a primitive root modulo p 2, we show a relationship between the linear complexity and the minimum value k for which the k-error linear complexity is strictly less than the linear complexity. Moreover, we describe an algorithm to determine the k-error linear complexity of a given p n-periodic binary sequence.|
|Source Title:||Designs, Codes, and Cryptography|
|Appears in Collections:||Staff Publications|
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