The invention relates to a method and an arrangement for decoding a convolutionally encoded signal which comprises code words and the arrangement comprises a neural network which comprises a set of neurons comprising a set of inputs and an output. The received code words are applied to the inputs of the neurons, and the arrangement combines some of the inputs of the neuron in the neuron. In order to enable efficient decoding of the convolutional encoding, some of the output signals of the neural network neurons are fed back to the inputs of the neuron and the neuron multiplies at least some of the inputs of the neuron with one another before combining. The output signal of a predetermined neuron comprises an estimate of a decoded symbol.