scholarly journals Shortest Covers of All Cyclic Shifts of a String

2020 ◽  
pp. 69-80 ◽  
Author(s):  
Maxime Crochemore ◽  
Costas S. Iliopoulos ◽  
Jakub Radoszewski ◽  
Wojciech Rytter ◽  
Juliusz Straszyński ◽  
...  
Keyword(s):  
Cyclic Shifts

scholarly journals An Easy Construction of Generalized Neighbor Designs in Minimal Circular Blocks

2021 ◽  
Author(s):  
Muhammad Nadeem ◽  
◽  
Muhammad Rasheed ◽  
M. H. Tahir ◽  
Khadija Noreen ◽  
...  
Keyword(s):  
Neighbor Effects ◽  
Cyclic Shifts

Neighbor designs are used in the experiments where neighbor effects may arise. Neighbor designs neutralize these effects and are, therefore, considered to be robust against neighbor effects. Minimal neighbor designs are always most economical among the neighbor designs and are, therefore, preferred by the experimenters. Method of cyclic shifts provides these designs in circular blocks only for odd v (number of treatments). For v even, minimal circular generalized neighbor designs in which only v 2 unordered pairs of distinct treatments do not appear as neighbors will be the better alternate to the minimal neighbor designs. In this article, such minimal generalized neighbor designs are constructed in circular blocks for v even.

Circular neighbor-balanced designs using cyclic shifts

2009 ◽  
Vol 52 (10) ◽  
pp. 2243-2256 ◽  
Author(s):  
Ijaz Iqbal ◽  
M. H. Tahir ◽  
Syed Shakir Ali Ghazali
Keyword(s):  
Balanced Designs ◽  
Cyclic Shifts

Banyan network nonblocking with respect to cyclic shifts

1991 ◽  
Vol 27 (16) ◽  
pp. 1474 ◽  
Author(s):  
T.H. Lee ◽  
S.J. Liu
Keyword(s):  
Banyan Network ◽  
Cyclic Shifts

scholarly journals A Construction of Bent Functions of n+2 Variables from a Bent Function of n Variables and Its Cyclic Shifts

Algebra ◽  
2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Joan-Josep Climent ◽  
Francisco J. García ◽  
Verónica Requena
Keyword(s):  
Bent Function ◽  
Bent Functions ◽  
Cyclic Shift ◽  
Cyclic Shifts

We present a method to iteratively construct new bent functions of n+2 variables from a bent function of n variables and its cyclic shift permutations using minterms of n variables and minterms of 2 variables. In addition, we provide the number of bent functions of n+2 variables that we can obtain by applying the method here presented, and finally we compare this method with a previous one introduced by us in 2008 and with the Rothaus and Maiorana-McFarland constructions.

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