WE1.R7.1

Pseduo-Random and de Bruijn Array Codes

TUVI ETZION, Technion, Israel

Session:
Combinatorics and Information Theory 1

Track:
21: Other topics

Location:
VIP

Presentation Time:
Wed, 10 Jul, 09:50 - 10:10

Session Chair:
Chaoping Xing, Shanghai Jiaotong University
Abstract
Pseudo-random arrays and perfect maps are the two-dimensional analogs of M-sequences and de Bruijn sequences, respectively. We modify the definitions to be applied to codes. These codes are also the two-dimensional analogs of certain factors in the de Bruijn graph. These factors are called zero factors and perfect factors in the de Bruijn graph. We apply a folding technique to construct pseudo-random array codes and examine the minimum distance of the constructed codes. The folding is applied on sequences generated from irreducible polynomials or a product of irreducible polynomials with the same degree and the same exponent. Direct and recursive constructions for de Bruijn array codes are presented and discussed.
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