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Key generation of algebraic-code cryptosystems
β Scribed by Hung-Min Sun; Tzonelih Hwang
- Book ID
- 103931362
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 575 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
The purpose of this paper is to efficiently generate large nonsingular matrix (S, S-l) pairs and permutation matrices over the binary field using short keys. The motivation of this work is to provide a solution to the long-key problem in algebraic-code cryptosystems. A special class of matrices which have exactly two l's in each row and each column is defined, and their properties are investigated to facilitate the construction of these algorithms. The time complexities of these algorithms are studied and found to have O(n) n-bit word operations.
π SIMILAR VOLUMES
A new e!ective decoding algorithm is presented for arbitrary algebraic-geometric codes on the basis of solving a generalized key equation with the majority coset scheme of Duursma. It is an improvement of Ehrhard's algorithm, since the method corrects up to half of the Goppa distance with complexity