We propose a collision recovery scheme for symbol-synchronous slotted ALOHA(SA) based on physical layer network coding over extended Galois Fields.Information is extracted from colliding bursts allowing to achieve highermaximum throughput with respect to previously proposed collision recoveryschemes. An energy analysis is also performed, and it is shown that, byadjusting the transmission probability, high energy efficiency can be achieved.The paper also addresses several practical aspects, namely frequency, phase,and amplitude estimation, as well as partial symbol asynchronism. A performanceevaluation is carried out using the proposed algorithms, revealing remarkableperformance in terms of normalized throughput.
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