| 摘要 |
A system (200) for configuring a network device (300) for sharing a key, the shared key being • bits long, the system comprising:—a key material obtainer (210) for—obtaining in electronic form a first private set of bivariate polynomials (252, {hacek over (z)}″(,)), and a second private set of reduction integers (254, f″), with each bivariate polynomial in the first set there is associated a reduction integer of the second set, and a public global reduction integer (256, . . . ) associated with the second private set of reduction integers (254, f),—a network device manager (230) for obtaining in electronic form an identity number (310, ¥) for the network device, the identity number being • bits long, wherein •>•, and—a polynomial manipulation unit (220) for computing for the network device a univariate private key polynomial (229) from the first and second private sets by—obtaining a set of univariate polynomials by—for each particular polynomial of the first private set, substituting the identity number (¥) into said particular polynomial {hacek over (z)}″(¥,) and reducing modulo the reduction integer associated with said particular polynomial, and—summing the set of univariate polynomials,—the network device manager being further configured for electronically storing the generated univariate private key polynomial (229, 236) and the public global reduction integer (256, . . . ) at the network device. |
