scholarly journals Constructing permutation arrays from groups

2017 ◽  
Vol 86 (5) ◽  
pp. 1095-1111 ◽  
Author(s):  
Sergey Bereg ◽  
Avi Levy ◽  
I. Hal Sudborough
Keyword(s):  
Permutation Arrays

scholarly journals Equidistant permutation arrays: a bound

1982 ◽  
Vol 33 (2) ◽  
pp. 262-274 ◽  
Author(s):  
G. H. J. Van Rees ◽  
S. A. Vanstone
Keyword(s):  
Permutation Arrays ◽  
Permutation Array ◽  
Image Position

AbstractAn equidistant permutation array is a ν × r array A(r, λ;ν) defined on a r-set X such that every row of A is a permutation of X and any two distinct rows agree in precisely λ common columns. Define In this paper, we show that where n = r − λ. Certain results pertaining to irreducible equidistant permutation arrays are also established.

scholarly journals Permutation Arrays Under the Chebyshev Distance

2010 ◽  
Vol 56 (6) ◽  
pp. 2611-2617 ◽  
Author(s):  
Torleiv Klove ◽  
Te-Tsung Lin ◽  
Shi-Chun Tsai ◽  
Wen-Guey Tzeng
Keyword(s):  
Permutation Arrays

scholarly journals New lower bounds for permutation arrays using contraction

2019 ◽  
Vol 87 (9) ◽  
pp. 2105-2128
Author(s):  
Sergey Bereg ◽  
Zevi Miller ◽  
Luis Gerardo Mojica ◽  
Linda Morales ◽  
I. H. Sudborough
Keyword(s):  
Lower Bounds ◽  
Permutation Arrays

A systematic design of cellular permutation arrays

1989 ◽  
Vol 38 (10) ◽  
pp. 1447-1451
Author(s):  
A.Y. Oruc ◽  
A. Thirumalai
Keyword(s):  
Systematic Design ◽  
Permutation Arrays

Constructions for retransmission permutation arrays

2012 ◽  
Vol 65 (3) ◽  
pp. 325-351 ◽  
Author(s):  
Jeffrey H. Dinitz ◽  
Maura B. Paterson ◽  
Douglas R. Stinson ◽  
Ruizhong Wei
Keyword(s):  
Permutation Arrays
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