Method and system are disclosed for managing erratic interruptions in a transmission system where the messages to be transmitted are composed of data packets and are expressed by means of a polynomial of degree t−1. The senders and the receivers share information making it possible to reference the data packets. In the course of the transmission of a message represented by a polynomial P, at least t points Ai are generated and P(Ai) of the polynomial P is evaluated, with t′ greater than or equal to t. The evaluations P(Ai) are transmitted of the t′ points to the receiver or receivers concerned, with information allowing the receivers to detect the transmission errors. Each receiver verifies that it has received t valid evaluations, that is to say free of transmission errors, uses the information referencing the packets and the t valid evaluations P(Ai) of the polynomial to determine the points Ai, and on the basis of the P(Ai) and of the Ai and determines the polynomial P used and on the basis of said polynomial deduces the message therefrom.