An extension of a construction of covering arrays

[1]  Charles J. Colbourn,et al.  Tabu search for covering arrays using permutation vectors , 2009 .

[2]  E. Mendelsohn,et al.  New recursive methods for transversal covers , 1999 .

[3]  Daniel Panario,et al.  Handbook of Finite Fields , 2013, Discrete mathematics and its applications.

[4]  José Torres-Jiménez,et al.  Covering arrays of strength three from extended permutation vectors , 2018, Des. Codes Cryptogr..

[5]  Lucia Moura,et al.  Constructing new covering arrays from LFSR sequences over finite fields , 2016, Discret. Math..

[6]  Charles J. Colbourn,et al.  Subspace restrictions and affine composition for covering perfect hash families , 2018, Art Discret. Appl. Math..

[7]  B. Stevens,et al.  A construction for strength-3 covering arrays from linear feedback shift register sequences , 2014, Des. Codes Cryptogr..

[8]  P. Mihăilescu.  Primary cyclotomic units and a proof of Catalans conjecture , 2004 .

[9]  Charles J. Colbourn,et al.  Covering arrays of higher strength from permutation vectors , 2006 .

[10]  Charles J. Colbourn,et al.  Covering Arrays of Strength Three , 1999, Des. Codes Cryptogr..

[11]  C. Colbourn.  Combinatorial aspects of covering arrays , 2006 .

[12]  Charles J. Colbourn,et al.  Asymptotic and constructive methods for covering perfect hash families and covering arrays , 2018, Des. Codes Cryptogr..

[13]  Gábor Tardos,et al.  A constructive proof of the general lovász local lemma , 2009, JACM.

[14]  C. Colbourn,et al.  Handbook of Combinatorial Designs , 2006 .

[15]  Lucia Moura,et al.  Finite field constructions of combinatorial arrays , 2016, Des. Codes Cryptogr..

[16]  Jose Torres-Jimenez,et al.  A Simulated Annealing Algorithm to Construct Covering Perfect Hash Families , 2018 .

[17]  José Torres-Jiménez,et al.  Improved covering arrays using covering perfect hash families with groups of restricted entries , 2020, Appl. Math. Comput..

[18]  Donald L. Kreher,et al.  On the state of strength‐three covering arrays , 2002 .

[19]  Charles J. Colbourn,et al.  Roux-type constructions for covering arrays of strengths three and four , 2006, Des. Codes Cryptogr..

[20]  James L. Massey,et al.  Shift-register synthesis and BCH decoding , 1969, IEEE Trans. Inf. Theory.