A method for securing communications between a first node and a second node in a network further comprising a management device provided with root keying materials comprising a symmetric polynomial having a pair of variables denoted x and y, the method comprising the following steps: - the management device generating (GENER), based on root keying materials, a pair of keying material shares comprising: - a first keying material share for a first node, the first keying material share comprising a set of coefficients of a first single-variable polynomial obtained by evaluating the symmetric polynomial in x=ID1, ID1 being an identifier of the first node; and - a second keying material share for a second node, the second keying material share comprising a set of coefficients of a second single-variable polynomial obtained by evaluating the symmetric polynomial in y=ID2, ID2 being an identifier of the second node, - a coefficient being dividable into a number of segments so that the first keying material share and second keying material share each comprise respective segments having respective positions in the first single-variable polynomial and the second single-variable polynomial, respectively; and - the first and second keying material shares being arranged for generating a complete key for securing communications between the first node and the second node, - the management device selecting (SELECT) respective segments from the first keying material share so as to form a first partial keying material share, the management device further selecting respective segments from the second keying material share so as to form a second partial keying material share, whereby the respective segments selected from the first keying material share and the respective segments selected from the second keying material share have respective corresponding positions in the first single-variable polynomial and the second single-variable polynomial, respectively, the number of segments selected being less or equal than the total number of segments present in the first and second keying material shares, - the management device communicating the first partial keying material share and the second partial keying material share to the first node and the second node, respectively, so as to allow the first node and the second node to generate a first partial key and a second partial key, based on the identifier of the second node and the identifier of the first node, respectively, the first partial key and the second partial key being identical, and used for securing communications between the first and the second node. - the management device generating (GENER), based on root keying materials, a pair of keying material shares comprising: - a first keying material share for a first node, the first keying material share comprising a set of coefficients of a first single-variable polynomial obtained by evaluating the symmetric polynomial in x=ID1, ID1 being an identifier of the first node; and - a second keying material share for a second node, the second keying material share comprising a set of coefficients of a second single-variable polynomial obtained by evaluating the symmetric polynomial in y=ID2, ID2 being an identifier of the second node, - a coefficient being dividable into a number of segments so that the first keying material share and second keying material share each comprise respective segments having respective positions in the first single-variable polynomial and the second single-variable polynomial, respectively; and - the first and second keying material shares being arranged for generating a complete key for securing communications between the first node and the second node, - the management device selecting (SELECT) respective segments from the first keying material share so as to form a first partial keying material share, the management device further selecting respective segments from the second keying material share so as to form a second partial keying material share, whereby the respective segments selected from the first keying material share and the respective segments selected from the second keying material share have respective corresponding positions in the first single-variable polynomial and the second single-variable polynomial, respectively, the number of segments selected being less or equal than the total number of segments present in the first and second keying material shares, - the management device communicating the first partial keying material share and the second partial keying material share to the first node and the second node, respectively, so as to allow the first node and the second node to generate a first partial key and a second partial key, based on the identifier of the second node and the identifier of the first node, respectively, the first partial key and the second partial key being identical, and used for securing communications between the first and the second node.