https://doi.org/10.1051/epjconf/201713202013
LABS problem and ground state spin glasses system
Mari State University, 424000 Yoshkar-Ola, Russia
* Corresponding author: leukhinan@list.ru
Published online: 13 December 2016
In our work we demonstrate the new results of an exhaustive search for optimal binary sequences with minimum peak sidelobe (MPS) up to length N=85. The design problem for law autocorrelation binary sequences (LABS) is a notoriously difficult computational problem which is numbered as the problem number 005 in CSPLib. In statistical physics LABS problem can be interrepted as the energy of N iteracting Ising spins. This is a Bernasconi model. Due to this connection to physics we refer a binary sequence as one-dimensional spin lattice. At this assumption optimal binary sequences by merit factor (MF) criteria are the ground-state spin system without disorder which exhibits a glassy regime.
© The Authors, published by EDP Sciences, 2017
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