Geodesic
On a construction of easily decodable sub-de~Bruijn arrays
Diskretnyj analiz i issledovanie operacij, Tome 26 (2019) no. 2, pp. 98-114

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We consider a two-dimensional generalization of de Bruijn sequences; i.e., integer-valued arrays whose all fragments of a fixed size (windows) are different. For these arrays, dubbed sub-de Bruijn, we consider the complexity of decoding; i.e., the determination of a position of a window with given content in an array. We propose a construction of arrays of arbitrary size with arbitrary windows where the number of different elements in the array is of an optimal order and the complexity of decoding a window is linear. Bibliogr. 16.
Mots-clés : de Bruijn sequence, de Bruijn array
Keywords: decoding, complexity. 
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     title = {On a construction of easily decodable {sub-de~Bruijn} arrays},
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     publisher = {mathdoc},
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D. A. Makarov; A. D. Yashunsky. On a construction of easily decodable sub-de~Bruijn arrays. Diskretnyj analiz i issledovanie operacij, Tome 26 (2019) no. 2, pp. 98-114. http://geodesic.mathdoc.fr/item/DA_2019_26_2_a4/